%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG104+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 18:29:24 EDT 2022 % Result : Theorem 83.55s 83.75s % Output : Proof 83.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : ALG104+1 : TPTP v8.1.0. Released v2.7.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n019.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 : Wed Jun 8 00:33:40 EDT 2022 % 0.12/0.33 % CPUTime : % 83.55/83.75 (* PROOF-FOUND *) % 83.55/83.75 % SZS status Theorem % 83.55/83.75 (* BEGIN-PROOF *) % 83.55/83.75 % SZS output start Proof % 83.55/83.75 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))))))))))))))))))))))))))). % 83.55/83.75 Proof. % 83.55/83.75 assert (zenon_L1_ : (~((e10) = (e10))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H12. % 83.55/83.75 apply zenon_H12. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L1_ *) % 83.55/83.75 assert (zenon_L2_ : (~((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H13 zenon_H14. % 83.55/83.75 cut (((op1 (e10) (op1 (e10) (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H15]. % 83.55/83.75 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H12. apply refl_equal. % 83.55/83.75 apply zenon_H15. apply sym_equal. exact zenon_H14. % 83.55/83.75 (* end of lemma zenon_L2_ *) % 83.55/83.75 assert (zenon_L3_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e10) (e10)) = (e13)) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H16 zenon_H17 zenon_H18 zenon_H14. % 83.55/83.75 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H16. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H17. % 83.55/83.75 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 83.55/83.75 cut (((e13) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ]. % 83.55/83.75 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e13) = (op1 (e10) (e10)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H19. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H1a. % 83.55/83.75 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 83.55/83.75 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_H1c zenon_H18). % 83.55/83.75 apply zenon_H1b. apply refl_equal. % 83.55/83.75 apply zenon_H1b. apply refl_equal. % 83.55/83.75 apply (zenon_L2_); trivial. % 83.55/83.75 (* end of lemma zenon_L3_ *) % 83.55/83.75 assert (zenon_L4_ : ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H17 zenon_H1d zenon_H14 zenon_H1e. % 83.55/83.75 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ]. % 83.55/83.75 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H1e. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H1f. % 83.55/83.75 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 83.55/83.75 cut (((op1 (e10) (e12)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((op1 (e10) (e12)) = (op1 (e10) (e11)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H21. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H17. % 83.55/83.75 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 83.55/83.75 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ]. % 83.55/83.75 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e13) = (op1 (e10) (e12)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H22. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H1f. % 83.55/83.75 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 83.55/83.75 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_H23 zenon_H1d). % 83.55/83.75 apply zenon_H20. apply refl_equal. % 83.55/83.75 apply zenon_H20. apply refl_equal. % 83.55/83.75 apply (zenon_L2_); trivial. % 83.55/83.75 apply zenon_H20. apply refl_equal. % 83.55/83.75 apply zenon_H20. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L4_ *) % 83.55/83.75 assert (zenon_L5_ : ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e10) (e13)) = (e13)) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H17 zenon_H24 zenon_H14 zenon_H25. % 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H25. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H26. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((op1 (e10) (e13)) = (op1 (e10) (e11)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H28. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H17. % 83.55/83.75 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 83.55/83.75 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e13) = (op1 (e10) (e13)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H29. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H26. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_H2a zenon_H24). % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply (zenon_L2_); trivial. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L5_ *) % 83.55/83.75 assert (zenon_L6_ : (~((e12) = (e12))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H2b. % 83.55/83.75 apply zenon_H2b. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L6_ *) % 83.55/83.75 assert (zenon_L7_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e10) (e10)) = (e11)) -> (~((e11) = (e12))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H2c zenon_H2d zenon_H2e. % 83.55/83.75 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ]. % 83.55/83.75 cut (((e12) = (e12)) = ((e11) = (e12))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H2e. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H2f. % 83.55/83.75 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.75 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e12) = (op1 (e10) (e10))) = ((e12) = (e11))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H30. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H2c. % 83.55/83.75 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 83.55/83.75 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H2b. apply refl_equal. % 83.55/83.75 exact (zenon_H31 zenon_H2d). % 83.55/83.75 apply zenon_H2b. apply refl_equal. % 83.55/83.75 apply zenon_H2b. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L7_ *) % 83.55/83.75 assert (zenon_L8_ : (~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H32 zenon_H2c. % 83.55/83.75 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 83.55/83.75 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H12. apply refl_equal. % 83.55/83.75 apply zenon_H33. apply sym_equal. exact zenon_H2c. % 83.55/83.75 (* end of lemma zenon_L8_ *) % 83.55/83.75 assert (zenon_L9_ : (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> ((e12) = (op1 (e10) (e10))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H1e zenon_H14 zenon_H34 zenon_H2c. % 83.55/83.75 cut (((e11) = (op1 (e10) (op1 (e10) (e10)))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H1e. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H14. % 83.55/83.75 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 83.55/83.75 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H35]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 83.55/83.75 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e11) = (op1 (e10) (e11)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H35. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H36. % 83.55/83.75 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 83.55/83.75 cut (((op1 (e10) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_H38 zenon_H34). % 83.55/83.75 apply zenon_H37. apply refl_equal. % 83.55/83.75 apply zenon_H37. apply refl_equal. % 83.55/83.75 apply (zenon_L8_); trivial. % 83.55/83.75 (* end of lemma zenon_L9_ *) % 83.55/83.75 assert (zenon_L10_ : ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e10) (e13)) = (e11)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H14 zenon_H39 zenon_H2c zenon_H3a. % 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e12)) = (op1 (e10) (e13)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H3a. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H26. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e11) = (op1 (e10) (op1 (e10) (e10)))) = ((op1 (e10) (e13)) = (op1 (e10) (e12)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H3b. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H14. % 83.55/83.75 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 83.55/83.75 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e11) = (op1 (e10) (e13)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H3c. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H26. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_H3d zenon_H39). % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply (zenon_L8_); trivial. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L10_ *) % 83.55/83.75 assert (zenon_L11_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e12))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H2c zenon_H3e zenon_H3f. % 83.55/83.75 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ]. % 83.55/83.75 cut (((e12) = (e12)) = ((e10) = (e12))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H3f. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H2f. % 83.55/83.75 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.75 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e12) = (op1 (e10) (e10))) = ((e12) = (e10))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H40. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H2c. % 83.55/83.75 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 83.55/83.75 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H2b. apply refl_equal. % 83.55/83.75 exact (zenon_H41 zenon_H3e). % 83.55/83.75 apply zenon_H2b. apply refl_equal. % 83.55/83.75 apply zenon_H2b. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L11_ *) % 83.55/83.75 assert (zenon_L12_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H42 zenon_H43 zenon_H25. % 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H25. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H26. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e10) (e11)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H28. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H42. % 83.55/83.75 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H44. apply sym_equal. exact zenon_H43. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L12_ *) % 83.55/83.75 assert (zenon_L13_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> False). % 83.55/83.75 do 0 intro. intros zenon_H45 zenon_H42 zenon_H46. % 83.55/83.75 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H45. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H42. % 83.55/83.75 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H47]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H47. apply sym_equal. exact zenon_H46. % 83.55/83.75 (* end of lemma zenon_L13_ *) % 83.55/83.75 assert (zenon_L14_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H2c zenon_H48 zenon_H49. % 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H49. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H26. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e12) = (op1 (e10) (e10))) = ((op1 (e10) (e13)) = (op1 (e10) (e10)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H4a. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H2c. % 83.55/83.75 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 83.55/83.75 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e12) = (op1 (e10) (e13)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H4b. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H26. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_H4c zenon_H48). % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H1b. apply refl_equal. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L14_ *) % 83.55/83.75 assert (zenon_L15_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H4d zenon_H46 zenon_H45 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H42 | zenon_intro zenon_H4e ]. % 83.55/83.75 apply (zenon_L13_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 83.55/83.75 apply (zenon_L10_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H48 | zenon_intro zenon_H24 ]. % 83.55/83.75 apply (zenon_L14_); trivial. % 83.55/83.75 apply (zenon_L5_); trivial. % 83.55/83.75 (* end of lemma zenon_L15_ *) % 83.55/83.75 assert (zenon_L16_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 83.55/83.75 do 0 intro. intros zenon_H50 zenon_H42 zenon_H51. % 83.55/83.75 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H50. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H42. % 83.55/83.75 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H52. apply sym_equal. exact zenon_H51. % 83.55/83.75 (* end of lemma zenon_L16_ *) % 83.55/83.75 assert (zenon_L17_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H4d zenon_H51 zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H42 | zenon_intro zenon_H4e ]. % 83.55/83.75 apply (zenon_L16_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 83.55/83.75 apply (zenon_L10_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H48 | zenon_intro zenon_H24 ]. % 83.55/83.75 apply (zenon_L14_); trivial. % 83.55/83.75 apply (zenon_L5_); trivial. % 83.55/83.75 (* end of lemma zenon_L17_ *) % 83.55/83.75 assert (zenon_L18_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e10)) -> False). % 83.55/83.75 do 0 intro. intros zenon_H53 zenon_H42 zenon_H54. % 83.55/83.75 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H53. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H42. % 83.55/83.75 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H55. apply sym_equal. exact zenon_H54. % 83.55/83.75 (* end of lemma zenon_L18_ *) % 83.55/83.75 assert (zenon_L19_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H4d zenon_H54 zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H42 | zenon_intro zenon_H4e ]. % 83.55/83.75 apply (zenon_L18_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 83.55/83.75 apply (zenon_L10_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H48 | zenon_intro zenon_H24 ]. % 83.55/83.75 apply (zenon_L14_); trivial. % 83.55/83.75 apply (zenon_L5_); trivial. % 83.55/83.75 (* end of lemma zenon_L19_ *) % 83.55/83.75 assert (zenon_L20_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H56 zenon_H43 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.55/83.75 apply (zenon_L12_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.55/83.75 apply (zenon_L15_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.55/83.75 apply (zenon_L17_); trivial. % 83.55/83.75 apply (zenon_L19_); trivial. % 83.55/83.75 (* end of lemma zenon_L20_ *) % 83.55/83.75 assert (zenon_L21_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H42 zenon_H59 zenon_H3a. % 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e12)) = (op1 (e10) (e13)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H3a. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H26. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e10) (e12)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H3b. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H42. % 83.55/83.75 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H5a. apply sym_equal. exact zenon_H59. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 apply zenon_H27. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L21_ *) % 83.55/83.75 assert (zenon_L22_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H56 zenon_H59 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.55/83.75 apply (zenon_L21_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.55/83.75 apply (zenon_L15_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.55/83.75 apply (zenon_L17_); trivial. % 83.55/83.75 apply (zenon_L19_); trivial. % 83.55/83.75 (* end of lemma zenon_L22_ *) % 83.55/83.75 assert (zenon_L23_ : (~((h1 (e13)) = (e23))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H5b zenon_H5c zenon_H5d. % 83.55/83.75 cut (((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((h1 (e13)) = (e23))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H5b. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H5c. % 83.55/83.75 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 83.55/83.75 cut (((h1 (e13)) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H5f. apply refl_equal. % 83.55/83.75 apply zenon_H5e. apply sym_equal. exact zenon_H5d. % 83.55/83.75 (* end of lemma zenon_L23_ *) % 83.55/83.75 assert (zenon_L24_ : (~((e20) = (e20))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H60. % 83.55/83.75 apply zenon_H60. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L24_ *) % 83.55/83.75 assert (zenon_L25_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> ((op2 (e20) (e23)) = (e20)) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H61 zenon_H3f zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H62 zenon_H63 zenon_H64 zenon_H5c zenon_H5d. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.75 apply (zenon_L11_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.75 apply (zenon_L20_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.75 apply (zenon_L22_); trivial. % 83.55/83.75 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H62. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H64. % 83.55/83.75 cut (((e20) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H67]. % 83.55/83.75 cut (((h1 (e10)) = (h1 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H68]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((h1 (op1 (e10) (e13))) = (h1 (op1 (e10) (e13))))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ]. % 83.55/83.75 cut (((h1 (op1 (e10) (e13))) = (h1 (op1 (e10) (e13)))) = ((h1 (e10)) = (h1 (op1 (e10) (e13))))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H68. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H69. % 83.55/83.75 cut (((h1 (op1 (e10) (e13))) = (h1 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6a]. % 83.55/83.75 cut (((h1 (op1 (e10) (e13))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((op1 (e10) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_H6c zenon_H42). % 83.55/83.75 apply zenon_H6a. apply refl_equal. % 83.55/83.75 apply zenon_H6a. apply refl_equal. % 83.55/83.75 elim (classic ((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 83.55/83.75 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13)))) = ((e20) = (op2 (h1 (e10)) (h1 (e13))))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H67. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H6d. % 83.55/83.75 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 83.55/83.75 cut (((op2 (h1 (e10)) (h1 (e13))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H6f]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (h1 (e10)) (h1 (e13))) = (e20))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H6f. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H63. % 83.55/83.75 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H70]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 83.55/83.75 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13)))) = ((op2 (e20) (e23)) = (op2 (h1 (e10)) (h1 (e13))))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H70. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H6d. % 83.55/83.75 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 83.55/83.75 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 83.55/83.75 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_H72 zenon_H64). % 83.55/83.75 apply (zenon_L23_); trivial. % 83.55/83.75 apply zenon_H6e. apply refl_equal. % 83.55/83.75 apply zenon_H6e. apply refl_equal. % 83.55/83.75 apply zenon_H60. apply refl_equal. % 83.55/83.75 apply zenon_H6e. apply refl_equal. % 83.55/83.75 apply zenon_H6e. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L25_ *) % 83.55/83.75 assert (zenon_L26_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> False). % 83.55/83.75 do 0 intro. intros zenon_H73 zenon_H63 zenon_H74. % 83.55/83.75 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H73. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H63. % 83.55/83.75 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply zenon_H75. apply sym_equal. exact zenon_H74. % 83.55/83.75 (* end of lemma zenon_L26_ *) % 83.55/83.75 assert (zenon_L27_ : (~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H77 zenon_H78. % 83.55/83.75 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 83.55/83.75 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H60. apply refl_equal. % 83.55/83.75 apply zenon_H79. apply sym_equal. exact zenon_H78. % 83.55/83.75 (* end of lemma zenon_L27_ *) % 83.55/83.75 assert (zenon_L28_ : ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e20) (e23)) = (e21)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H7a zenon_H7b zenon_H78 zenon_H7c. % 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e22)) = (op2 (e20) (e23)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H7c. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H7d. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7e]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e21) = (op2 (e20) (op2 (e20) (e20)))) = ((op2 (e20) (e23)) = (op2 (e20) (e22)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H7e. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H7a. % 83.55/83.75 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 83.55/83.75 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H7f]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e21) = (op2 (e20) (e23)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H7f. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H7d. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H80]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_H80 zenon_H7b). % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply (zenon_L27_); trivial. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L28_ *) % 83.55/83.75 assert (zenon_L29_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H78 zenon_H81 zenon_H82. % 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H82. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H7d. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e22) = (op2 (e20) (e20))) = ((op2 (e20) (e23)) = (op2 (e20) (e20)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H83. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H78. % 83.55/83.75 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 83.55/83.75 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e22) = (op2 (e20) (e23)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H85. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H7d. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_H86 zenon_H81). % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply zenon_H84. apply refl_equal. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L29_ *) % 83.55/83.75 assert (zenon_L30_ : (~((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H87 zenon_H7a. % 83.55/83.75 cut (((op2 (e20) (op2 (e20) (e20))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 83.55/83.75 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H60. apply refl_equal. % 83.55/83.75 apply zenon_H88. apply sym_equal. exact zenon_H7a. % 83.55/83.75 (* end of lemma zenon_L30_ *) % 83.55/83.75 assert (zenon_L31_ : ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e20) (e23)) = (e23)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H5d zenon_H89 zenon_H7a zenon_H8a. % 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H8a. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H7d. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((op2 (e20) (e23)) = (op2 (e20) (e21)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H8b. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H5d. % 83.55/83.75 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 83.55/83.75 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e23) = (op2 (e20) (e23)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H8c. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H7d. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_H8d zenon_H89). % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply (zenon_L30_); trivial. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L31_ *) % 83.55/83.75 assert (zenon_L32_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H8e zenon_H74 zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H63 | zenon_intro zenon_H8f ]. % 83.55/83.75 apply (zenon_L26_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H90 ]. % 83.55/83.75 apply (zenon_L28_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H81 | zenon_intro zenon_H89 ]. % 83.55/83.75 apply (zenon_L29_); trivial. % 83.55/83.75 apply (zenon_L31_); trivial. % 83.55/83.75 (* end of lemma zenon_L32_ *) % 83.55/83.75 assert (zenon_L33_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 83.55/83.75 do 0 intro. intros zenon_H91 zenon_H63 zenon_H92. % 83.55/83.75 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H91. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H63. % 83.55/83.75 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply zenon_H93. apply sym_equal. exact zenon_H92. % 83.55/83.75 (* end of lemma zenon_L33_ *) % 83.55/83.75 assert (zenon_L34_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H8e zenon_H92 zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H63 | zenon_intro zenon_H8f ]. % 83.55/83.75 apply (zenon_L33_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H90 ]. % 83.55/83.75 apply (zenon_L28_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H81 | zenon_intro zenon_H89 ]. % 83.55/83.75 apply (zenon_L29_); trivial. % 83.55/83.75 apply (zenon_L31_); trivial. % 83.55/83.75 (* end of lemma zenon_L34_ *) % 83.55/83.75 assert (zenon_L35_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> False). % 83.55/83.75 do 0 intro. intros zenon_H94 zenon_H63 zenon_H95. % 83.55/83.75 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H94. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H63. % 83.55/83.75 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply zenon_H96. apply sym_equal. exact zenon_H95. % 83.55/83.75 (* end of lemma zenon_L35_ *) % 83.55/83.75 assert (zenon_L36_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H8e zenon_H95 zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H63 | zenon_intro zenon_H8f ]. % 83.55/83.75 apply (zenon_L35_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H90 ]. % 83.55/83.75 apply (zenon_L28_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H81 | zenon_intro zenon_H89 ]. % 83.55/83.75 apply (zenon_L29_); trivial. % 83.55/83.75 apply (zenon_L31_); trivial. % 83.55/83.75 (* end of lemma zenon_L36_ *) % 83.55/83.75 assert (zenon_L37_ : ((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\(((op2 (op2 (e20) (e20)) (e20)) = (e20))/\(~((op2 (op2 (e20) (e20)) (e20)) = (e20))))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H97. % 83.55/83.75 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H99. zenon_intro zenon_H98. % 83.55/83.75 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 83.55/83.75 exact (zenon_H9a zenon_H9b). % 83.55/83.75 (* end of lemma zenon_L37_ *) % 83.55/83.75 assert (zenon_L38_ : ((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\(((op1 (op1 (e10) (e10)) (e10)) = (e10))/\(~((op1 (op1 (e10) (e10)) (e10)) = (e10))))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H9c. % 83.55/83.75 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 83.55/83.75 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f. % 83.55/83.75 exact (zenon_H9f zenon_Ha0). % 83.55/83.75 (* end of lemma zenon_L38_ *) % 83.55/83.75 assert (zenon_L39_ : (~((e22) = (e22))) -> False). % 83.55/83.75 do 0 intro. intros zenon_Ha1. % 83.55/83.75 apply zenon_Ha1. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L39_ *) % 83.55/83.75 assert (zenon_L40_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e22))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H78 zenon_Ha2 zenon_Ha3. % 83.55/83.75 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ]. % 83.55/83.75 cut (((e22) = (e22)) = ((e20) = (e22))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Ha3. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Ha4. % 83.55/83.75 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.55/83.75 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e22) = (op2 (e20) (e20))) = ((e22) = (e20))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Ha5. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H78. % 83.55/83.75 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 83.55/83.75 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_Ha1. apply refl_equal. % 83.55/83.75 exact (zenon_Ha6 zenon_Ha2). % 83.55/83.75 apply zenon_Ha1. apply refl_equal. % 83.55/83.75 apply zenon_Ha1. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L40_ *) % 83.55/83.75 assert (zenon_L41_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e20) (e20)) = (e21)) -> (~((e21) = (e22))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H78 zenon_Ha7 zenon_Ha8. % 83.55/83.75 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ]. % 83.55/83.75 cut (((e22) = (e22)) = ((e21) = (e22))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Ha8. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Ha4. % 83.55/83.75 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.55/83.75 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e22) = (op2 (e20) (e20))) = ((e22) = (e21))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Ha9. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H78. % 83.55/83.75 cut (((op2 (e20) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 83.55/83.75 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_Ha1. apply refl_equal. % 83.55/83.75 exact (zenon_Haa zenon_Ha7). % 83.55/83.75 apply zenon_Ha1. apply refl_equal. % 83.55/83.75 apply zenon_Ha1. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L41_ *) % 83.55/83.75 assert (zenon_L42_ : ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((e20) = (e21))) -> False). % 83.55/83.75 do 0 intro. intros zenon_Hab zenon_Hac zenon_Had. % 83.55/83.75 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ]. % 83.55/83.75 cut (((e21) = (e21)) = ((e20) = (e21))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Had. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hae. % 83.55/83.75 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.55/83.75 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((op2 (e21) (e20)) = (e20)) = ((e21) = (e20))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hb0. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hab. % 83.55/83.75 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.55/83.75 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_Hb1 zenon_Hac). % 83.55/83.75 apply zenon_H60. apply refl_equal. % 83.55/83.75 apply zenon_Haf. apply refl_equal. % 83.55/83.75 apply zenon_Haf. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L42_ *) % 83.55/83.75 assert (zenon_L43_ : (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e20) (e20)) = (e23)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_Hb2 zenon_H5d zenon_Hb3 zenon_H7a. % 83.55/83.75 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hb2. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H5d. % 83.55/83.75 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 83.55/83.75 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H84 ]. % 83.55/83.75 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e23) = (op2 (e20) (e20)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hb4. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hb5. % 83.55/83.75 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 83.55/83.75 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_Hb6 zenon_Hb3). % 83.55/83.75 apply zenon_H84. apply refl_equal. % 83.55/83.75 apply zenon_H84. apply refl_equal. % 83.55/83.75 apply (zenon_L30_); trivial. % 83.55/83.75 (* end of lemma zenon_L43_ *) % 83.55/83.75 assert (zenon_L44_ : (~((op2 (e23) (e20)) = (op2 (op2 (e20) (e21)) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.55/83.75 do 0 intro. intros zenon_Hb7 zenon_Hb8. % 83.55/83.75 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.55/83.75 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8. % 83.55/83.75 apply zenon_H60. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L44_ *) % 83.55/83.75 assert (zenon_L45_ : ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_Hbb zenon_Hbc. % 83.55/83.75 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ]. % 83.55/83.75 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hbc. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hbd. % 83.55/83.75 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 83.55/83.75 cut (((op2 (e23) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((op2 (op2 (e20) (e21)) (e20)) = (e21)) = ((op2 (e23) (e20)) = (op2 (e22) (e20)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hbf. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hba. % 83.55/83.75 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 83.55/83.75 cut (((op2 (op2 (e20) (e21)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ]. % 83.55/83.75 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (op2 (e20) (e21)) (e20)) = (op2 (e23) (e20)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hc1. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hbd. % 83.55/83.75 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 83.55/83.75 cut (((op2 (e23) (e20)) = (op2 (op2 (e20) (e21)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 83.55/83.75 congruence. % 83.55/83.75 apply (zenon_L44_); trivial. % 83.55/83.75 apply zenon_Hbe. apply refl_equal. % 83.55/83.75 apply zenon_Hbe. apply refl_equal. % 83.55/83.75 apply zenon_Hc0. apply sym_equal. exact zenon_Hbb. % 83.55/83.75 apply zenon_Hbe. apply refl_equal. % 83.55/83.75 apply zenon_Hbe. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L45_ *) % 83.55/83.75 assert (zenon_L46_ : ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e20) (e22)) = (e23)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H5d zenon_Hc2 zenon_H7a zenon_Hc3. % 83.55/83.75 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ]. % 83.55/83.75 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hc3. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hc4. % 83.55/83.75 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 83.55/83.75 cut (((op2 (e20) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hc6]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((op2 (e20) (e22)) = (op2 (e20) (e21)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hc6. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H5d. % 83.55/83.75 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 83.55/83.75 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ]. % 83.55/83.75 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e23) = (op2 (e20) (e22)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hc7. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hc4. % 83.55/83.75 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 83.55/83.75 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_Hc8 zenon_Hc2). % 83.55/83.75 apply zenon_Hc5. apply refl_equal. % 83.55/83.75 apply zenon_Hc5. apply refl_equal. % 83.55/83.75 apply (zenon_L30_); trivial. % 83.55/83.75 apply zenon_Hc5. apply refl_equal. % 83.55/83.75 apply zenon_Hc5. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L46_ *) % 83.55/83.75 assert (zenon_L47_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_Hc9 zenon_Hb2 zenon_Hbc zenon_Hbb zenon_Hba zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.55/83.75 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.55/83.75 apply (zenon_L43_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.55/83.75 apply (zenon_L45_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.55/83.75 apply (zenon_L46_); trivial. % 83.55/83.75 apply (zenon_L31_); trivial. % 83.55/83.75 (* end of lemma zenon_L47_ *) % 83.55/83.75 assert (zenon_L48_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H63 zenon_Hcc zenon_H8a. % 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H8a. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H7d. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e20) (e21)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_H8b. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H63. % 83.55/83.75 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 apply zenon_H76. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L48_ *) % 83.55/83.75 assert (zenon_L49_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_Hce zenon_Hcc zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.55/83.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.55/83.75 apply (zenon_L48_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.55/83.75 apply (zenon_L32_); trivial. % 83.55/83.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.55/83.75 apply (zenon_L34_); trivial. % 83.55/83.75 apply (zenon_L36_); trivial. % 83.55/83.75 (* end of lemma zenon_L49_ *) % 83.55/83.75 assert (zenon_L50_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> False). % 83.55/83.75 do 0 intro. intros zenon_Hd1 zenon_Hab zenon_Hd2. % 83.55/83.75 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hd1. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hab. % 83.55/83.75 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 83.55/83.75 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 83.55/83.75 congruence. % 83.55/83.75 apply zenon_Hd4. apply refl_equal. % 83.55/83.75 apply zenon_Hd3. apply sym_equal. exact zenon_Hd2. % 83.55/83.75 (* end of lemma zenon_L50_ *) % 83.55/83.75 assert (zenon_L51_ : (~((e21) = (e21))) -> False). % 83.55/83.75 do 0 intro. intros zenon_Haf. % 83.55/83.75 apply zenon_Haf. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L51_ *) % 83.55/83.75 assert (zenon_L52_ : ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e20)) = (e23)) -> (~((e21) = (e23))) -> False). % 83.55/83.75 do 0 intro. intros zenon_Hac zenon_Hd5 zenon_Hd6. % 83.55/83.75 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ]. % 83.55/83.75 cut (((e23) = (e23)) = ((e21) = (e23))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hd6. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hd7. % 83.55/83.75 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.55/83.75 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((op2 (e21) (e20)) = (e21)) = ((e23) = (e21))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hd9. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hac. % 83.55/83.75 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.55/83.75 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hda]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_Hda zenon_Hd5). % 83.55/83.75 apply zenon_Haf. apply refl_equal. % 83.55/83.75 apply zenon_Hd8. apply refl_equal. % 83.55/83.75 apply zenon_Hd8. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L52_ *) % 83.55/83.75 assert (zenon_L53_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H78 zenon_Hdb zenon_Hdc. % 83.55/83.75 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hd4 ]. % 83.55/83.75 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hdc. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hdd. % 83.55/83.75 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 83.55/83.75 cut (((op2 (e21) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hde]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e22) = (op2 (e20) (e20))) = ((op2 (e21) (e20)) = (op2 (e20) (e20)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hde. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H78. % 83.55/83.75 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 83.55/83.75 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hd4 ]. % 83.55/83.75 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e22) = (op2 (e21) (e20)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hdf. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hdd. % 83.55/83.75 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 83.55/83.75 cut (((op2 (e21) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_He0 zenon_Hdb). % 83.55/83.75 apply zenon_Hd4. apply refl_equal. % 83.55/83.75 apply zenon_Hd4. apply refl_equal. % 83.55/83.75 apply zenon_H84. apply refl_equal. % 83.55/83.75 apply zenon_Hd4. apply refl_equal. % 83.55/83.75 apply zenon_Hd4. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L53_ *) % 83.55/83.75 assert (zenon_L54_ : ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e21) = (e22))) -> False). % 83.55/83.75 do 0 intro. intros zenon_He1 zenon_He2 zenon_Ha8. % 83.55/83.75 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ]. % 83.55/83.75 cut (((e22) = (e22)) = ((e21) = (e22))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Ha8. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Ha4. % 83.55/83.75 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.55/83.75 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((op2 (e21) (e21)) = (e21)) = ((e22) = (e21))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Ha9. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_He1. % 83.55/83.75 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.55/83.75 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_He3 zenon_He2). % 83.55/83.75 apply zenon_Haf. apply refl_equal. % 83.55/83.75 apply zenon_Ha1. apply refl_equal. % 83.55/83.75 apply zenon_Ha1. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L54_ *) % 83.55/83.75 assert (zenon_L55_ : ((op2 (e22) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e21)) -> (~((e20) = (e21))) -> False). % 83.55/83.75 do 0 intro. intros zenon_He4 zenon_He5 zenon_Had. % 83.55/83.75 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ]. % 83.55/83.75 cut (((e21) = (e21)) = ((e20) = (e21))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Had. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_Hae. % 83.55/83.75 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.55/83.75 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((op2 (e22) (e21)) = (e20)) = ((e21) = (e20))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hb0. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_He4. % 83.55/83.75 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.55/83.75 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_He6 zenon_He5). % 83.55/83.75 apply zenon_H60. apply refl_equal. % 83.55/83.75 apply zenon_Haf. apply refl_equal. % 83.55/83.75 apply zenon_Haf. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L55_ *) % 83.55/83.75 assert (zenon_L56_ : ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e22) (e22)) = (e21)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H7a zenon_He7 zenon_H78 zenon_He8. % 83.55/83.75 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hea ]. % 83.55/83.75 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_He8. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_He9. % 83.55/83.75 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 83.55/83.75 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 83.55/83.75 congruence. % 83.55/83.75 cut (((e21) = (op2 (e20) (op2 (e20) (e20)))) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Heb. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_H7a. % 83.55/83.75 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 83.55/83.75 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hec]. % 83.55/83.75 congruence. % 83.55/83.75 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hea ]. % 83.55/83.75 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e21) = (op2 (e22) (e22)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.75 apply zenon_Hec. % 83.55/83.75 rewrite <- zenon_D_pnotp. % 83.55/83.75 exact zenon_He9. % 83.55/83.75 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 83.55/83.75 cut (((op2 (e22) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 83.55/83.75 congruence. % 83.55/83.75 exact (zenon_Hed zenon_He7). % 83.55/83.75 apply zenon_Hea. apply refl_equal. % 83.55/83.75 apply zenon_Hea. apply refl_equal. % 83.55/83.75 apply (zenon_L27_); trivial. % 83.55/83.75 apply zenon_Hea. apply refl_equal. % 83.55/83.75 apply zenon_Hea. apply refl_equal. % 83.55/83.75 (* end of lemma zenon_L56_ *) % 83.55/83.75 assert (zenon_L57_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False). % 83.55/83.75 do 0 intro. intros zenon_H78 zenon_Hee zenon_Hef. % 83.55/83.75 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ]. % 83.55/83.75 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))). % 83.55/83.75 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hef. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hf0. % 83.55/83.76 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 83.55/83.76 cut (((op2 (e22) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((e22) = (op2 (e20) (e20))) = ((op2 (e22) (e20)) = (op2 (e20) (e20)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hf2. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H78. % 83.55/83.76 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 83.55/83.76 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf3]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ]. % 83.55/83.76 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e22) = (op2 (e22) (e20)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hf3. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hf0. % 83.55/83.76 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 83.55/83.76 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hf4]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_Hf4 zenon_Hee). % 83.55/83.76 apply zenon_Hf1. apply refl_equal. % 83.55/83.76 apply zenon_Hf1. apply refl_equal. % 83.55/83.76 apply zenon_H84. apply refl_equal. % 83.55/83.76 apply zenon_Hf1. apply refl_equal. % 83.55/83.76 apply zenon_Hf1. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L57_ *) % 83.55/83.76 assert (zenon_L58_ : ((op2 (e22) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e22)) -> (~((e20) = (e22))) -> False). % 83.55/83.76 do 0 intro. intros zenon_He4 zenon_Hf5 zenon_Ha3. % 83.55/83.76 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ]. % 83.55/83.76 cut (((e22) = (e22)) = ((e20) = (e22))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Ha3. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Ha4. % 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.55/83.76 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op2 (e22) (e21)) = (e20)) = ((e22) = (e20))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Ha5. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_He4. % 83.55/83.76 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.55/83.76 cut (((op2 (e22) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_Hf6 zenon_Hf5). % 83.55/83.76 apply zenon_H60. apply refl_equal. % 83.55/83.76 apply zenon_Ha1. apply refl_equal. % 83.55/83.76 apply zenon_Ha1. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L58_ *) % 83.55/83.76 assert (zenon_L59_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> False). % 83.55/83.76 do 0 intro. intros zenon_Hf7 zenon_Hf8 zenon_Hf9. % 83.55/83.76 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hf7. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hf8. % 83.55/83.76 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_Hfb. apply refl_equal. % 83.55/83.76 apply zenon_Hfa. apply sym_equal. exact zenon_Hf9. % 83.55/83.76 (* end of lemma zenon_L59_ *) % 83.55/83.76 assert (zenon_L60_ : ((op2 (e22) (e23)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> (~((e21) = (e22))) -> False). % 83.55/83.76 do 0 intro. intros zenon_Hfc zenon_Hfd zenon_Ha8. % 83.55/83.76 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ]. % 83.55/83.76 cut (((e22) = (e22)) = ((e21) = (e22))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Ha8. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Ha4. % 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.55/83.76 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op2 (e22) (e23)) = (e21)) = ((e22) = (e21))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Ha9. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hfc. % 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.55/83.76 cut (((op2 (e22) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hfe]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_Hfe zenon_Hfd). % 83.55/83.76 apply zenon_Haf. apply refl_equal. % 83.55/83.76 apply zenon_Ha1. apply refl_equal. % 83.55/83.76 apply zenon_Ha1. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L60_ *) % 83.55/83.76 assert (zenon_L61_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 83.55/83.76 do 0 intro. intros zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_Hf8 zenon_Hf7 zenon_Hfc zenon_Ha8. % 83.55/83.76 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.55/83.76 apply (zenon_L57_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.55/83.76 apply (zenon_L58_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.55/83.76 apply (zenon_L59_); trivial. % 83.55/83.76 apply (zenon_L60_); trivial. % 83.55/83.76 (* end of lemma zenon_L61_ *) % 83.55/83.76 assert (zenon_L62_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H102 zenon_H8a zenon_H5d zenon_Hc3 zenon_Hba zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_Hf8 zenon_Hf7 zenon_Ha8. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.55/83.76 apply (zenon_L47_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.55/83.76 apply (zenon_L55_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.55/83.76 apply (zenon_L56_); trivial. % 83.55/83.76 apply (zenon_L61_); trivial. % 83.55/83.76 (* end of lemma zenon_L62_ *) % 83.55/83.76 assert (zenon_L63_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H78 zenon_H105 zenon_Hb2. % 83.55/83.76 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ]. % 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hb2. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H106. % 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((e22) = (op2 (e20) (e20))) = ((op2 (e20) (e21)) = (op2 (e20) (e20)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H108. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H78. % 83.55/83.76 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 83.55/83.76 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H109]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ]. % 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e22) = (op2 (e20) (e21)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H109. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H106. % 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 83.55/83.76 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H10a zenon_H105). % 83.55/83.76 apply zenon_H107. apply refl_equal. % 83.55/83.76 apply zenon_H107. apply refl_equal. % 83.55/83.76 apply zenon_H84. apply refl_equal. % 83.55/83.76 apply zenon_H107. apply refl_equal. % 83.55/83.76 apply zenon_H107. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L63_ *) % 83.55/83.76 assert (zenon_L64_ : ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H10b zenon_H10c zenon_Had. % 83.55/83.76 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ]. % 83.55/83.76 cut (((e21) = (e21)) = ((e20) = (e21))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Had. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hae. % 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.55/83.76 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op2 (e23) (e20)) = (e20)) = ((e21) = (e20))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hb0. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H10b. % 83.55/83.76 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.55/83.76 cut (((op2 (e23) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H10d]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H10d zenon_H10c). % 83.55/83.76 apply zenon_H60. apply refl_equal. % 83.55/83.76 apply zenon_Haf. apply refl_equal. % 83.55/83.76 apply zenon_Haf. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L64_ *) % 83.55/83.76 assert (zenon_L65_ : ((op2 (e23) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> (~((e21) = (e22))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H10e zenon_H10f zenon_Ha8. % 83.55/83.76 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ]. % 83.55/83.76 cut (((e22) = (e22)) = ((e21) = (e22))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Ha8. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Ha4. % 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.55/83.76 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op2 (e23) (e21)) = (e21)) = ((e22) = (e21))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Ha9. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H10e. % 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.55/83.76 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H110 zenon_H10f). % 83.55/83.76 apply zenon_Haf. apply refl_equal. % 83.55/83.76 apply zenon_Ha1. apply refl_equal. % 83.55/83.76 apply zenon_Ha1. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L65_ *) % 83.55/83.76 assert (zenon_L66_ : ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e22)) = (e21)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H7a zenon_H111 zenon_H78 zenon_H112. % 83.55/83.76 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 83.55/83.76 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H112. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H113. % 83.55/83.76 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 83.55/83.76 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((e21) = (op2 (e20) (op2 (e20) (e20)))) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H115. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H7a. % 83.55/83.76 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 83.55/83.76 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 83.55/83.76 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e21) = (op2 (e23) (e22)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H116. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H113. % 83.55/83.76 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 83.55/83.76 cut (((op2 (e23) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H117 zenon_H111). % 83.55/83.76 apply zenon_H114. apply refl_equal. % 83.55/83.76 apply zenon_H114. apply refl_equal. % 83.55/83.76 apply (zenon_L27_); trivial. % 83.55/83.76 apply zenon_H114. apply refl_equal. % 83.55/83.76 apply zenon_H114. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L66_ *) % 83.55/83.76 assert (zenon_L67_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e21)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H118 zenon_Hba zenon_Hb8 zenon_H119. % 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e20)) = (e21)) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H118. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hba. % 83.55/83.76 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ]. % 83.55/83.76 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (op2 (e20) (e21)) (e20)) = (op2 (e23) (e20)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hc1. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hbd. % 83.55/83.76 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 83.55/83.76 cut (((op2 (e23) (e20)) = (op2 (op2 (e20) (e21)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 83.55/83.76 congruence. % 83.55/83.76 apply (zenon_L44_); trivial. % 83.55/83.76 apply zenon_Hbe. apply refl_equal. % 83.55/83.76 apply zenon_Hbe. apply refl_equal. % 83.55/83.76 apply zenon_H11a. apply sym_equal. exact zenon_H119. % 83.55/83.76 (* end of lemma zenon_L67_ *) % 83.55/83.76 assert (zenon_L68_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H11b zenon_Had zenon_H10b zenon_Ha8 zenon_H10f zenon_H112 zenon_H78 zenon_H7a zenon_H118 zenon_Hba zenon_Hb8. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ]. % 83.55/83.76 apply (zenon_L64_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ]. % 83.55/83.76 apply (zenon_L65_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ]. % 83.55/83.76 apply (zenon_L66_); trivial. % 83.55/83.76 apply (zenon_L67_); trivial. % 83.55/83.76 (* end of lemma zenon_L68_ *) % 83.55/83.76 assert (zenon_L69_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e22)) -> (~((e20) = (e22))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H11e zenon_H10f zenon_Ha3. % 83.55/83.76 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ]. % 83.55/83.76 cut (((e22) = (e22)) = ((e20) = (e22))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Ha3. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Ha4. % 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.55/83.76 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op2 (e23) (e21)) = (e20)) = ((e22) = (e20))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Ha5. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H11e. % 83.55/83.76 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.55/83.76 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H110 zenon_H10f). % 83.55/83.76 apply zenon_H60. apply refl_equal. % 83.55/83.76 apply zenon_Ha1. apply refl_equal. % 83.55/83.76 apply zenon_Ha1. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L69_ *) % 83.55/83.76 assert (zenon_L70_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H11f zenon_H120 zenon_H121. % 83.55/83.76 cut (((op2 (e21) (e22)) = (e20)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H11f. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H120. % 83.55/83.76 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_Hfb. apply refl_equal. % 83.55/83.76 apply zenon_H122. apply sym_equal. exact zenon_H121. % 83.55/83.76 (* end of lemma zenon_L70_ *) % 83.55/83.76 assert (zenon_L71_ : ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e21)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H7a zenon_H123 zenon_H78 zenon_H124. % 83.55/83.76 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ]. % 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H124. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H125. % 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((e21) = (op2 (e20) (op2 (e20) (e20)))) = ((op2 (e21) (e22)) = (op2 (e20) (e22)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H126. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H7a. % 83.55/83.76 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 83.55/83.76 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H127]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ]. % 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e21) = (op2 (e21) (e22)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H127. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H125. % 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 83.55/83.76 cut (((op2 (e21) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H128]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H128 zenon_H123). % 83.55/83.76 apply zenon_Hfb. apply refl_equal. % 83.55/83.76 apply zenon_Hfb. apply refl_equal. % 83.55/83.76 apply (zenon_L27_); trivial. % 83.55/83.76 apply zenon_Hfb. apply refl_equal. % 83.55/83.76 apply zenon_Hfb. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L71_ *) % 83.55/83.76 assert (zenon_L72_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H129 zenon_Hd5 zenon_H12a. % 83.55/83.76 cut (((op2 (e21) (e20)) = (e23)) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H129. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hd5. % 83.55/83.76 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 83.55/83.76 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_Hd4. apply refl_equal. % 83.55/83.76 apply zenon_H12b. apply sym_equal. exact zenon_H12a. % 83.55/83.76 (* end of lemma zenon_L72_ *) % 83.55/83.76 assert (zenon_L73_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H12c zenon_H121 zenon_H11f zenon_H124 zenon_H78 zenon_H7a zenon_Hf9 zenon_Hf7 zenon_H129 zenon_Hd5. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H120 | zenon_intro zenon_H12d ]. % 83.55/83.76 apply (zenon_L70_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H123 | zenon_intro zenon_H12e ]. % 83.55/83.76 apply (zenon_L71_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H12a ]. % 83.55/83.76 apply (zenon_L59_); trivial. % 83.55/83.76 apply (zenon_L72_); trivial. % 83.55/83.76 (* end of lemma zenon_L73_ *) % 83.55/83.76 assert (zenon_L74_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H12f zenon_H130 zenon_Hfd. % 83.55/83.76 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H12f. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H130. % 83.55/83.76 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 83.55/83.76 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_H132. apply refl_equal. % 83.55/83.76 apply zenon_H131. apply sym_equal. exact zenon_Hfd. % 83.55/83.76 (* end of lemma zenon_L74_ *) % 83.55/83.76 assert (zenon_L75_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_He1 zenon_Hff zenon_Hef zenon_He4 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_H124 zenon_Hf7 zenon_H129 zenon_Hd5 zenon_Ha3 zenon_H11b zenon_Had zenon_Ha8 zenon_H112 zenon_H118 zenon_Hba zenon_Hb8 zenon_H134 zenon_H12f zenon_H130. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.55/83.76 apply (zenon_L63_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.55/83.76 apply (zenon_L54_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.55/83.76 apply (zenon_L58_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.55/83.76 apply (zenon_L57_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.55/83.76 apply (zenon_L58_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.55/83.76 apply (zenon_L68_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.55/83.76 apply (zenon_L69_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.55/83.76 apply (zenon_L73_); trivial. % 83.55/83.76 apply (zenon_L36_); trivial. % 83.55/83.76 apply (zenon_L74_); trivial. % 83.55/83.76 (* end of lemma zenon_L75_ *) % 83.55/83.76 assert (zenon_L76_ : (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e20) (e21)) = (e21)) -> ((e22) = (op2 (e20) (e20))) -> False). % 83.55/83.76 do 0 intro. intros zenon_Hc3 zenon_H7a zenon_H139 zenon_H78. % 83.55/83.76 cut (((e21) = (op2 (e20) (op2 (e20) (e20)))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hc3. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H7a. % 83.55/83.76 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 83.55/83.76 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H13a]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ]. % 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e21) = (op2 (e20) (e21)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H13a. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H106. % 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 83.55/83.76 cut (((op2 (e20) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H13b]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H13b zenon_H139). % 83.55/83.76 apply zenon_H107. apply refl_equal. % 83.55/83.76 apply zenon_H107. apply refl_equal. % 83.55/83.76 apply (zenon_L27_); trivial. % 83.55/83.76 (* end of lemma zenon_L76_ *) % 83.55/83.76 assert (zenon_L77_ : ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (e22)) -> (~((e21) = (e22))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H13c zenon_H130 zenon_Ha8. % 83.55/83.76 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ]. % 83.55/83.76 cut (((e22) = (e22)) = ((e21) = (e22))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Ha8. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Ha4. % 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.55/83.76 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op2 (e21) (e23)) = (e21)) = ((e22) = (e21))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Ha9. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H13c. % 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.55/83.76 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H13d zenon_H130). % 83.55/83.76 apply zenon_Haf. apply refl_equal. % 83.55/83.76 apply zenon_Ha1. apply refl_equal. % 83.55/83.76 apply zenon_Ha1. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L77_ *) % 83.55/83.76 assert (zenon_L78_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H13e zenon_Hba zenon_Hb8 zenon_H10e. % 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e20)) = (e21)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H13e. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hba. % 83.55/83.76 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H13f]. % 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ]. % 83.55/83.76 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (op2 (e20) (e21)) (e20)) = (op2 (e23) (e20)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hc1. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hbd. % 83.55/83.76 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 83.55/83.76 cut (((op2 (e23) (e20)) = (op2 (op2 (e20) (e21)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 83.55/83.76 congruence. % 83.55/83.76 apply (zenon_L44_); trivial. % 83.55/83.76 apply zenon_Hbe. apply refl_equal. % 83.55/83.76 apply zenon_Hbe. apply refl_equal. % 83.55/83.76 apply zenon_H13f. apply sym_equal. exact zenon_H10e. % 83.55/83.76 (* end of lemma zenon_L78_ *) % 83.55/83.76 assert (zenon_L79_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (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) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (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) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_Hd5 zenon_H129 zenon_H11f zenon_H12c zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H133 zenon_H124 zenon_H141 zenon_Ha8 zenon_H102 zenon_H8a zenon_H5d zenon_Hc3 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_Hba zenon_Hb8. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.55/83.76 apply (zenon_L52_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.55/83.76 apply (zenon_L53_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.55/83.76 apply (zenon_L54_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.55/83.76 apply (zenon_L62_); trivial. % 83.55/83.76 apply (zenon_L75_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.55/83.76 apply (zenon_L71_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.55/83.76 apply (zenon_L76_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.55/83.76 apply (zenon_L53_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.55/83.76 apply (zenon_L54_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.55/83.76 apply (zenon_L62_); trivial. % 83.55/83.76 apply (zenon_L77_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.55/83.76 apply (zenon_L55_); trivial. % 83.55/83.76 apply (zenon_L78_); trivial. % 83.55/83.76 (* end of lemma zenon_L79_ *) % 83.55/83.76 assert (zenon_L80_ : (~((op2 (op2 (e20) (e21)) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H149 zenon_Hb8. % 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.55/83.76 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H14a zenon_Hb8). % 83.55/83.76 apply zenon_Haf. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L80_ *) % 83.55/83.76 assert (zenon_L81_ : (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H14b zenon_H11e zenon_Hb8. % 83.55/83.76 cut (((op2 (e23) (e21)) = (e20)) = ((op2 (op2 (e20) (e21)) (e21)) = (e20))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H14b. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H11e. % 83.55/83.76 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.55/83.76 cut (((op2 (e23) (e21)) = (op2 (op2 (e20) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op2 (op2 (e20) (e21)) (e21)) = (op2 (op2 (e20) (e21)) (e21)))); [ zenon_intro zenon_H14d | zenon_intro zenon_H14e ]. % 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e21)) = (op2 (op2 (e20) (e21)) (e21))) = ((op2 (e23) (e21)) = (op2 (op2 (e20) (e21)) (e21)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H14c. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H14d. % 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e21)) = (op2 (op2 (e20) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 83.55/83.76 congruence. % 83.55/83.76 apply (zenon_L80_); trivial. % 83.55/83.76 apply zenon_H14e. apply refl_equal. % 83.55/83.76 apply zenon_H14e. apply refl_equal. % 83.55/83.76 apply zenon_H60. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L81_ *) % 83.55/83.76 assert (zenon_L82_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (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)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H14f zenon_H91 zenon_H73 zenon_Hce zenon_Hab zenon_Hd1 zenon_Hba zenon_H13e zenon_Had zenon_H142 zenon_Hdc zenon_Hf7 zenon_Ha3 zenon_H78 zenon_Hef zenon_Hff zenon_H7a zenon_He8 zenon_Hc9 zenon_Hb2 zenon_Hbc zenon_Hc3 zenon_H5d zenon_H8a zenon_H102 zenon_Ha8 zenon_H141 zenon_H124 zenon_H133 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_H129 zenon_Hd5 zenon_H11b zenon_H112 zenon_H118 zenon_H134 zenon_H12f zenon_Hd6 zenon_H140 zenon_H14b zenon_Hb8. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.55/83.76 apply (zenon_L49_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.55/83.76 apply (zenon_L50_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.55/83.76 apply (zenon_L79_); trivial. % 83.55/83.76 apply (zenon_L81_); trivial. % 83.55/83.76 (* end of lemma zenon_L82_ *) % 83.55/83.76 assert (zenon_L83_ : ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> False). % 83.55/83.76 do 0 intro. intros zenon_Hbb zenon_H152 zenon_Hd6. % 83.55/83.76 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ]. % 83.55/83.76 cut (((e23) = (e23)) = ((e21) = (e23))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hd6. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hd7. % 83.55/83.76 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.55/83.76 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op2 (e22) (e20)) = (e21)) = ((e23) = (e21))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hd9. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hbb. % 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.55/83.76 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H153 zenon_H152). % 83.55/83.76 apply zenon_Haf. apply refl_equal. % 83.55/83.76 apply zenon_Hd8. apply refl_equal. % 83.55/83.76 apply zenon_Hd8. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L83_ *) % 83.55/83.76 assert (zenon_L84_ : (~((op2 (e22) (op2 (e20) (e20))) = (op2 (e22) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H154 zenon_H78. % 83.55/83.76 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_Ha1. apply refl_equal. % 83.55/83.76 apply zenon_H79. apply sym_equal. exact zenon_H78. % 83.55/83.76 (* end of lemma zenon_L84_ *) % 83.55/83.76 assert (zenon_L85_ : (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> ((e22) = (op2 (e20) (e20))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H155 zenon_Hf9 zenon_H78. % 83.55/83.76 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (op2 (e20) (e20))) = (e22))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H155. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hf9. % 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.55/83.76 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op2 (e22) (op2 (e20) (e20))) = (op2 (e22) (op2 (e20) (e20))))); [ zenon_intro zenon_H157 | zenon_intro zenon_H158 ]. % 83.55/83.76 cut (((op2 (e22) (op2 (e20) (e20))) = (op2 (e22) (op2 (e20) (e20)))) = ((op2 (e22) (e22)) = (op2 (e22) (op2 (e20) (e20))))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H156. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H157. % 83.55/83.76 cut (((op2 (e22) (op2 (e20) (e20))) = (op2 (e22) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H158]. % 83.55/83.76 cut (((op2 (e22) (op2 (e20) (e20))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 83.55/83.76 congruence. % 83.55/83.76 apply (zenon_L84_); trivial. % 83.55/83.76 apply zenon_H158. apply refl_equal. % 83.55/83.76 apply zenon_H158. apply refl_equal. % 83.55/83.76 apply zenon_Ha1. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L85_ *) % 83.55/83.76 assert (zenon_L86_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 83.55/83.76 do 0 intro. intros zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_H78 zenon_H155 zenon_Hfc zenon_Ha8. % 83.55/83.76 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.55/83.76 apply (zenon_L57_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.55/83.76 apply (zenon_L58_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.55/83.76 apply (zenon_L85_); trivial. % 83.55/83.76 apply (zenon_L60_); trivial. % 83.55/83.76 (* end of lemma zenon_L86_ *) % 83.55/83.76 assert (zenon_L87_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> (~((e21) = (e22))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H102 zenon_Hd6 zenon_H152 zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_H78 zenon_H155 zenon_Ha8. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.55/83.76 apply (zenon_L83_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.55/83.76 apply (zenon_L55_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.55/83.76 apply (zenon_L56_); trivial. % 83.55/83.76 apply (zenon_L86_); trivial. % 83.55/83.76 (* end of lemma zenon_L87_ *) % 83.55/83.76 assert (zenon_L88_ : ((op2 (e23) (e20)) = (e21)) -> ((op2 (e23) (e20)) = (e23)) -> (~((e21) = (e23))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H10c zenon_H159 zenon_Hd6. % 83.55/83.76 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ]. % 83.55/83.76 cut (((e23) = (e23)) = ((e21) = (e23))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hd6. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_Hd7. % 83.55/83.76 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.55/83.76 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op2 (e23) (e20)) = (e21)) = ((e23) = (e21))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_Hd9. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H10c. % 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.55/83.76 cut (((op2 (e23) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H15a]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H15a zenon_H159). % 83.55/83.76 apply zenon_Haf. apply refl_equal. % 83.55/83.76 apply zenon_Hd8. apply refl_equal. % 83.55/83.76 apply zenon_Hd8. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L88_ *) % 83.55/83.76 assert (zenon_L89_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H14f zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hab zenon_Hd1 zenon_Ha8 zenon_H155 zenon_H78 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_Had zenon_H102 zenon_H14b zenon_Hba zenon_H13e zenon_H142 zenon_Hdc zenon_Hf7 zenon_Hc9 zenon_Hb2 zenon_Hbc zenon_H141 zenon_H124 zenon_H133 zenon_H12c zenon_H11f zenon_H129 zenon_H11b zenon_H112 zenon_H118 zenon_H134 zenon_H12f zenon_H140 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.55/83.76 apply (zenon_L41_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.55/83.76 apply (zenon_L42_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.55/83.76 apply (zenon_L47_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.55/83.76 apply (zenon_L43_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.55/83.76 apply (zenon_L43_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.55/83.76 apply (zenon_L82_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.55/83.76 apply (zenon_L49_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.55/83.76 apply (zenon_L50_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.55/83.76 apply (zenon_L87_); trivial. % 83.55/83.76 apply (zenon_L81_); trivial. % 83.55/83.76 apply (zenon_L88_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.55/83.76 apply (zenon_L46_); trivial. % 83.55/83.76 apply (zenon_L31_); trivial. % 83.55/83.76 (* end of lemma zenon_L89_ *) % 83.55/83.76 assert (zenon_L90_ : ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((e10) = (e11))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H161 zenon_H162 zenon_H163. % 83.55/83.76 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ]. % 83.55/83.76 cut (((e11) = (e11)) = ((e10) = (e11))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H163. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H164. % 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.76 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op1 (e11) (e10)) = (e10)) = ((e11) = (e10))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H166. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H161. % 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.76 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H167 zenon_H162). % 83.55/83.76 apply zenon_H12. apply refl_equal. % 83.55/83.76 apply zenon_H165. apply refl_equal. % 83.55/83.76 apply zenon_H165. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L90_ *) % 83.55/83.76 assert (zenon_L91_ : (~((op1 (e13) (e10)) = (op1 (op1 (e10) (e11)) (e10)))) -> ((op1 (e10) (e11)) = (e13)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H168 zenon_H169. % 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.76 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_H16a. apply sym_equal. exact zenon_H169. % 83.55/83.76 apply zenon_H12. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L91_ *) % 83.55/83.76 assert (zenon_L92_ : ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H16b zenon_H169 zenon_H16c zenon_H16d. % 83.55/83.76 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ]. % 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H16d. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H16e. % 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H170]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op1 (op1 (e10) (e11)) (e10)) = (e11)) = ((op1 (e13) (e10)) = (op1 (e12) (e10)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H170. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H16b. % 83.55/83.76 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 83.55/83.76 cut (((op1 (op1 (e10) (e11)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H172]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ]. % 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (op1 (e10) (e11)) (e10)) = (op1 (e13) (e10)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H172. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H16e. % 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (op1 (e10) (e11)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H168]. % 83.55/83.76 congruence. % 83.55/83.76 apply (zenon_L91_); trivial. % 83.55/83.76 apply zenon_H16f. apply refl_equal. % 83.55/83.76 apply zenon_H16f. apply refl_equal. % 83.55/83.76 apply zenon_H171. apply sym_equal. exact zenon_H16c. % 83.55/83.76 apply zenon_H16f. apply refl_equal. % 83.55/83.76 apply zenon_H16f. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L92_ *) % 83.55/83.76 assert (zenon_L93_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H173 zenon_H16 zenon_H16d zenon_H16c zenon_H16b zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.76 apply (zenon_L3_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.76 apply (zenon_L92_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.76 apply (zenon_L4_); trivial. % 83.55/83.76 apply (zenon_L5_); trivial. % 83.55/83.76 (* end of lemma zenon_L93_ *) % 83.55/83.76 assert (zenon_L94_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e11)) = (e10)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H176 zenon_H161 zenon_H177. % 83.55/83.76 cut (((op1 (e11) (e10)) = (e10)) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H176. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H161. % 83.55/83.76 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_H179. apply refl_equal. % 83.55/83.76 apply zenon_H178. apply sym_equal. exact zenon_H177. % 83.55/83.76 (* end of lemma zenon_L94_ *) % 83.55/83.76 assert (zenon_L95_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H2c zenon_H17a zenon_H16. % 83.55/83.76 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 83.55/83.76 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H16. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H36. % 83.55/83.76 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 83.55/83.76 cut (((op1 (e10) (e11)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H17b]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((e12) = (op1 (e10) (e10))) = ((op1 (e10) (e11)) = (op1 (e10) (e10)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H17b. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H2c. % 83.55/83.76 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 83.55/83.76 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 83.55/83.76 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e12) = (op1 (e10) (e11)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H17c. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H36. % 83.55/83.76 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 83.55/83.76 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H17d zenon_H17a). % 83.55/83.76 apply zenon_H37. apply refl_equal. % 83.55/83.76 apply zenon_H37. apply refl_equal. % 83.55/83.76 apply zenon_H1b. apply refl_equal. % 83.55/83.76 apply zenon_H37. apply refl_equal. % 83.55/83.76 apply zenon_H37. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L95_ *) % 83.55/83.76 assert (zenon_L96_ : (~((e11) = (e11))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H165. % 83.55/83.76 apply zenon_H165. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L96_ *) % 83.55/83.76 assert (zenon_L97_ : ((op1 (e11) (e11)) = (e11)) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e12))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H17e zenon_H17f zenon_H2e. % 83.55/83.76 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ]. % 83.55/83.76 cut (((e12) = (e12)) = ((e11) = (e12))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H2e. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H2f. % 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.76 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op1 (e11) (e11)) = (e11)) = ((e12) = (e11))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H30. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H17e. % 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.76 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H180]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H180 zenon_H17f). % 83.55/83.76 apply zenon_H165. apply refl_equal. % 83.55/83.76 apply zenon_H2b. apply refl_equal. % 83.55/83.76 apply zenon_H2b. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L97_ *) % 83.55/83.76 assert (zenon_L98_ : ((op1 (e12) (e11)) = (e10)) -> ((op1 (e12) (e11)) = (e12)) -> (~((e10) = (e12))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H181 zenon_H182 zenon_H3f. % 83.55/83.76 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ]. % 83.55/83.76 cut (((e12) = (e12)) = ((e10) = (e12))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H3f. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H2f. % 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.76 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op1 (e12) (e11)) = (e10)) = ((e12) = (e10))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H40. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H181. % 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.76 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H183]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H183 zenon_H182). % 83.55/83.76 apply zenon_H12. apply refl_equal. % 83.55/83.76 apply zenon_H2b. apply refl_equal. % 83.55/83.76 apply zenon_H2b. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L98_ *) % 83.55/83.76 assert (zenon_L99_ : ((op1 (e12) (e11)) = (e10)) -> ((op1 (e12) (e11)) = (e11)) -> (~((e10) = (e11))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H181 zenon_H184 zenon_H163. % 83.55/83.76 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ]. % 83.55/83.76 cut (((e11) = (e11)) = ((e10) = (e11))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H163. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H164. % 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.76 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op1 (e12) (e11)) = (e10)) = ((e11) = (e10))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H166. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H181. % 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.76 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H185]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H185 zenon_H184). % 83.55/83.76 apply zenon_H12. apply refl_equal. % 83.55/83.76 apply zenon_H165. apply refl_equal. % 83.55/83.76 apply zenon_H165. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L99_ *) % 83.55/83.76 assert (zenon_L100_ : ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e12) (e12)) = (e11)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H14 zenon_H186 zenon_H2c zenon_H187. % 83.55/83.76 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ]. % 83.55/83.76 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H187. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H188. % 83.55/83.76 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 83.55/83.76 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H18a]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((e11) = (op1 (e10) (op1 (e10) (e10)))) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H18a. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H14. % 83.55/83.76 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 83.55/83.76 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ]. % 83.55/83.76 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e11) = (op1 (e12) (e12)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H18b. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H188. % 83.55/83.76 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 83.55/83.76 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H18c zenon_H186). % 83.55/83.76 apply zenon_H189. apply refl_equal. % 83.55/83.76 apply zenon_H189. apply refl_equal. % 83.55/83.76 apply (zenon_L8_); trivial. % 83.55/83.76 apply zenon_H189. apply refl_equal. % 83.55/83.76 apply zenon_H189. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L100_ *) % 83.55/83.76 assert (zenon_L101_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H2c zenon_H18d zenon_H18e. % 83.55/83.76 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ]. % 83.55/83.76 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H18e. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H18f. % 83.55/83.76 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 83.55/83.76 cut (((op1 (e12) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H191]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((e12) = (op1 (e10) (e10))) = ((op1 (e12) (e10)) = (op1 (e10) (e10)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H191. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H2c. % 83.55/83.76 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 83.55/83.76 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H192]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ]. % 83.55/83.76 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e12) = (op1 (e12) (e10)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H192. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H18f. % 83.55/83.76 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 83.55/83.76 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H193 zenon_H18d). % 83.55/83.76 apply zenon_H190. apply refl_equal. % 83.55/83.76 apply zenon_H190. apply refl_equal. % 83.55/83.76 apply zenon_H1b. apply refl_equal. % 83.55/83.76 apply zenon_H190. apply refl_equal. % 83.55/83.76 apply zenon_H190. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L101_ *) % 83.55/83.76 assert (zenon_L102_ : ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e11))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H194 zenon_H195 zenon_H163. % 83.55/83.76 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ]. % 83.55/83.76 cut (((e11) = (e11)) = ((e10) = (e11))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H163. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H164. % 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.76 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op1 (e13) (e10)) = (e10)) = ((e11) = (e10))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H166. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H194. % 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.76 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H196]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H196 zenon_H195). % 83.55/83.76 apply zenon_H12. apply refl_equal. % 83.55/83.76 apply zenon_H165. apply refl_equal. % 83.55/83.76 apply zenon_H165. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L102_ *) % 83.55/83.76 assert (zenon_L103_ : ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e12)) -> (~((e10) = (e12))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H197 zenon_H198 zenon_H3f. % 83.55/83.76 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ]. % 83.55/83.76 cut (((e12) = (e12)) = ((e10) = (e12))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H3f. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H2f. % 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.76 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op1 (e13) (e11)) = (e10)) = ((e12) = (e10))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H40. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H197. % 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.76 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H199 zenon_H198). % 83.55/83.76 apply zenon_H12. apply refl_equal. % 83.55/83.76 apply zenon_H2b. apply refl_equal. % 83.55/83.76 apply zenon_H2b. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L103_ *) % 83.55/83.76 assert (zenon_L104_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H19a zenon_H19b zenon_H19c. % 83.55/83.76 cut (((op1 (e11) (e12)) = (e10)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H19a. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H19b. % 83.55/83.76 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_H19e. apply refl_equal. % 83.55/83.76 apply zenon_H19d. apply sym_equal. exact zenon_H19c. % 83.55/83.76 (* end of lemma zenon_L104_ *) % 83.55/83.76 assert (zenon_L105_ : ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e11) (e12)) = (e11)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H14 zenon_H19f zenon_H2c zenon_H1a0. % 83.55/83.76 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ]. % 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1a0. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1a1. % 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((e11) = (op1 (e10) (op1 (e10) (e10)))) = ((op1 (e11) (e12)) = (op1 (e10) (e12)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1a2. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H14. % 83.55/83.76 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 83.55/83.76 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ]. % 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e11) = (op1 (e11) (e12)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1a3. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1a1. % 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 83.55/83.76 cut (((op1 (e11) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H1a4 zenon_H19f). % 83.55/83.76 apply zenon_H19e. apply refl_equal. % 83.55/83.76 apply zenon_H19e. apply refl_equal. % 83.55/83.76 apply (zenon_L8_); trivial. % 83.55/83.76 apply zenon_H19e. apply refl_equal. % 83.55/83.76 apply zenon_H19e. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L105_ *) % 83.55/83.76 assert (zenon_L106_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1a5 zenon_H1a6 zenon_H1a7. % 83.55/83.76 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1a5. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1a6. % 83.55/83.76 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_H19e. apply refl_equal. % 83.55/83.76 apply zenon_H1a8. apply sym_equal. exact zenon_H1a7. % 83.55/83.76 (* end of lemma zenon_L106_ *) % 83.55/83.76 assert (zenon_L107_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e12)) = (e13)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1a9 zenon_H1aa zenon_H1ab. % 83.55/83.76 cut (((op1 (e11) (e10)) = (e13)) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1a9. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1aa. % 83.55/83.76 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ac]. % 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_H179. apply refl_equal. % 83.55/83.76 apply zenon_H1ac. apply sym_equal. exact zenon_H1ab. % 83.55/83.76 (* end of lemma zenon_L107_ *) % 83.55/83.76 assert (zenon_L108_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1ad zenon_H19c zenon_H19a zenon_H1a0 zenon_H2c zenon_H14 zenon_H1a7 zenon_H1a5 zenon_H1a9 zenon_H1aa. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ]. % 83.55/83.76 apply (zenon_L104_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ]. % 83.55/83.76 apply (zenon_L105_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ]. % 83.55/83.76 apply (zenon_L106_); trivial. % 83.55/83.76 apply (zenon_L107_); trivial. % 83.55/83.76 (* end of lemma zenon_L108_ *) % 83.55/83.76 assert (zenon_L109_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1b0 zenon_H163 zenon_H195 zenon_H3f zenon_H198 zenon_H1aa zenon_H1a9 zenon_H1a5 zenon_H1a7 zenon_H1a0 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.55/83.76 apply (zenon_L102_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.55/83.76 apply (zenon_L103_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.55/83.76 apply (zenon_L108_); trivial. % 83.55/83.76 apply (zenon_L19_); trivial. % 83.55/83.76 (* end of lemma zenon_L109_ *) % 83.55/83.76 assert (zenon_L110_ : ((op1 (e12) (e13)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> (~((e11) = (e12))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1b3 zenon_H1b4 zenon_H2e. % 83.55/83.76 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ]. % 83.55/83.76 cut (((e12) = (e12)) = ((e11) = (e12))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H2e. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H2f. % 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.76 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op1 (e12) (e13)) = (e11)) = ((e12) = (e11))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H30. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1b3. % 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.76 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1b5]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H1b5 zenon_H1b4). % 83.55/83.76 apply zenon_H165. apply refl_equal. % 83.55/83.76 apply zenon_H2b. apply refl_equal. % 83.55/83.76 apply zenon_H2b. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L110_ *) % 83.55/83.76 assert (zenon_L111_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((e11) = (e12))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H181 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H1aa zenon_H198 zenon_H3f zenon_H195 zenon_H163 zenon_H1b0 zenon_H1b3 zenon_H2e. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.55/83.76 apply (zenon_L101_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.55/83.76 apply (zenon_L98_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.55/83.76 apply (zenon_L109_); trivial. % 83.55/83.76 apply (zenon_L110_); trivial. % 83.55/83.76 (* end of lemma zenon_L111_ *) % 83.55/83.76 assert (zenon_L112_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1b9 zenon_H16 zenon_H17e zenon_H1ba zenon_H16d zenon_H169 zenon_H16b zenon_H187 zenon_H1b6 zenon_H18e zenon_H181 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H1aa zenon_H3f zenon_H195 zenon_H163 zenon_H1b0 zenon_H2e. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ]. % 83.55/83.76 apply (zenon_L95_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ]. % 83.55/83.76 apply (zenon_L97_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ]. % 83.55/83.76 apply (zenon_L98_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ]. % 83.55/83.76 apply (zenon_L92_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ]. % 83.55/83.76 apply (zenon_L99_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ]. % 83.55/83.76 apply (zenon_L100_); trivial. % 83.55/83.76 apply (zenon_L111_); trivial. % 83.55/83.76 (* end of lemma zenon_L112_ *) % 83.55/83.76 assert (zenon_L113_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e11)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1bf zenon_H195 zenon_H1c0. % 83.55/83.76 cut (((op1 (e13) (e10)) = (e11)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1bf. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H195. % 83.55/83.76 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c1]. % 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_H16f. apply refl_equal. % 83.55/83.76 apply zenon_H1c1. apply sym_equal. exact zenon_H1c0. % 83.55/83.76 (* end of lemma zenon_L113_ *) % 83.55/83.76 assert (zenon_L114_ : (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1c2 zenon_H197 zenon_H169. % 83.55/83.76 cut (((op1 (e13) (e11)) = (e10)) = ((op1 (op1 (e10) (e11)) (e11)) = (e10))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1c2. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H197. % 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.76 cut (((op1 (e13) (e11)) = (op1 (op1 (e10) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c3]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op1 (op1 (e10) (e11)) (e11)) = (op1 (op1 (e10) (e11)) (e11)))); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c5 ]. % 83.55/83.76 cut (((op1 (op1 (e10) (e11)) (e11)) = (op1 (op1 (e10) (e11)) (e11))) = ((op1 (e13) (e11)) = (op1 (op1 (e10) (e11)) (e11)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1c3. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1c4. % 83.55/83.76 cut (((op1 (op1 (e10) (e11)) (e11)) = (op1 (op1 (e10) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c5]. % 83.55/83.76 cut (((op1 (op1 (e10) (e11)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c6]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.76 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1c7]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H1c7 zenon_H169). % 83.55/83.76 apply zenon_H165. apply refl_equal. % 83.55/83.76 apply zenon_H1c5. apply refl_equal. % 83.55/83.76 apply zenon_H1c5. apply refl_equal. % 83.55/83.76 apply zenon_H12. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L114_ *) % 83.55/83.76 assert (zenon_L115_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((op1 (e10) (e11)) = (e13)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1c8 zenon_H50 zenon_H45 zenon_H56 zenon_H161 zenon_H176 zenon_H195 zenon_H1bf zenon_H163 zenon_H1b9 zenon_H16 zenon_H1ba zenon_H16d zenon_H16b zenon_H187 zenon_H1b6 zenon_H18e zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H1aa zenon_H3f zenon_H1b0 zenon_H2e zenon_H1e zenon_H1c9 zenon_H1c2 zenon_H169. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.76 apply (zenon_L20_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.76 apply (zenon_L94_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.55/83.76 apply (zenon_L9_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.55/83.76 apply (zenon_L112_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.55/83.76 apply (zenon_L99_); trivial. % 83.55/83.76 apply (zenon_L113_); trivial. % 83.55/83.76 apply (zenon_L114_); trivial. % 83.55/83.76 (* end of lemma zenon_L115_ *) % 83.55/83.76 assert (zenon_L116_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H2c zenon_H1ce zenon_H1cf. % 83.55/83.76 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H179 ]. % 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1cf. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1d0. % 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d1]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((e12) = (op1 (e10) (e10))) = ((op1 (e11) (e10)) = (op1 (e10) (e10)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1d1. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H2c. % 83.55/83.76 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 83.55/83.76 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d2]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H179 ]. % 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e12) = (op1 (e11) (e10)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1d2. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1d0. % 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 83.55/83.76 cut (((op1 (e11) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H1d3 zenon_H1ce). % 83.55/83.76 apply zenon_H179. apply refl_equal. % 83.55/83.76 apply zenon_H179. apply refl_equal. % 83.55/83.76 apply zenon_H1b. apply refl_equal. % 83.55/83.76 apply zenon_H179. apply refl_equal. % 83.55/83.76 apply zenon_H179. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L116_ *) % 83.55/83.76 assert (zenon_L117_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1d4 zenon_H181 zenon_H1d5. % 83.55/83.76 cut (((op1 (e12) (e11)) = (e10)) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1d4. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H181. % 83.55/83.76 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d6]. % 83.55/83.76 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d7]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_H1d7. apply refl_equal. % 83.55/83.76 apply zenon_H1d6. apply sym_equal. exact zenon_H1d5. % 83.55/83.76 (* end of lemma zenon_L117_ *) % 83.55/83.76 assert (zenon_L118_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H1da. % 83.55/83.76 cut (((op1 (e12) (e10)) = (e13)) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1d8. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1d9. % 83.55/83.76 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1db]. % 83.55/83.76 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_H190. apply refl_equal. % 83.55/83.76 apply zenon_H1db. apply sym_equal. exact zenon_H1da. % 83.55/83.76 (* end of lemma zenon_L118_ *) % 83.55/83.76 assert (zenon_L119_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1dc zenon_H181 zenon_H1d4 zenon_H187 zenon_H2c zenon_H14 zenon_H1a6 zenon_H1a5 zenon_H1d8 zenon_H1d9. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dd ]. % 83.55/83.76 apply (zenon_L117_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H186 | zenon_intro zenon_H1de ]. % 83.55/83.76 apply (zenon_L100_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1da ]. % 83.55/83.76 apply (zenon_L106_); trivial. % 83.55/83.76 apply (zenon_L118_); trivial. % 83.55/83.76 (* end of lemma zenon_L119_ *) % 83.55/83.76 assert (zenon_L120_ : (~((op1 (e12) (op1 (e10) (e10))) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1df zenon_H2c. % 83.55/83.76 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_H2b. apply refl_equal. % 83.55/83.76 apply zenon_H33. apply sym_equal. exact zenon_H2c. % 83.55/83.76 (* end of lemma zenon_L120_ *) % 83.55/83.76 assert (zenon_L121_ : (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> ((e12) = (op1 (e10) (e10))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1e0 zenon_H1a7 zenon_H2c. % 83.55/83.76 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (op1 (e10) (e10))) = (e12))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1e0. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1a7. % 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.76 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 83.55/83.76 congruence. % 83.55/83.76 elim (classic ((op1 (e12) (op1 (e10) (e10))) = (op1 (e12) (op1 (e10) (e10))))); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e3 ]. % 83.55/83.76 cut (((op1 (e12) (op1 (e10) (e10))) = (op1 (e12) (op1 (e10) (e10)))) = ((op1 (e12) (e12)) = (op1 (e12) (op1 (e10) (e10))))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1e1. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1e2. % 83.55/83.76 cut (((op1 (e12) (op1 (e10) (e10))) = (op1 (e12) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1e3]. % 83.55/83.76 cut (((op1 (e12) (op1 (e10) (e10))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1df]. % 83.55/83.76 congruence. % 83.55/83.76 apply (zenon_L120_); trivial. % 83.55/83.76 apply zenon_H1e3. apply refl_equal. % 83.55/83.76 apply zenon_H1e3. apply refl_equal. % 83.55/83.76 apply zenon_H2b. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L121_ *) % 83.55/83.76 assert (zenon_L122_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1e4 zenon_H1e5 zenon_H1b4. % 83.55/83.76 cut (((op1 (e11) (e13)) = (e12)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1e4. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1e5. % 83.55/83.76 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e6]. % 83.55/83.76 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_H1e7. apply refl_equal. % 83.55/83.76 apply zenon_H1e6. apply sym_equal. exact zenon_H1b4. % 83.55/83.76 (* end of lemma zenon_L122_ *) % 83.55/83.76 assert (zenon_L123_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H2c zenon_H1e0 zenon_H1e4 zenon_H1e5. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.55/83.76 apply (zenon_L101_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.55/83.76 apply (zenon_L98_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.55/83.76 apply (zenon_L121_); trivial. % 83.55/83.76 apply (zenon_L122_); trivial. % 83.55/83.76 (* end of lemma zenon_L123_ *) % 83.55/83.76 assert (zenon_L124_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H1d9 zenon_H1d8 zenon_H1a5 zenon_H14 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H2c zenon_H1e0 zenon_H1e4. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.55/83.76 apply (zenon_L116_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.55/83.76 apply (zenon_L97_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.55/83.76 apply (zenon_L119_); trivial. % 83.55/83.76 apply (zenon_L123_); trivial. % 83.55/83.76 (* end of lemma zenon_L124_ *) % 83.55/83.76 assert (zenon_L125_ : ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (e13)) = (e12)) -> (~((e11) = (e12))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1eb zenon_H1e5 zenon_H2e. % 83.55/83.76 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ]. % 83.55/83.76 cut (((e12) = (e12)) = ((e11) = (e12))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H2e. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H2f. % 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.76 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op1 (e11) (e13)) = (e11)) = ((e12) = (e11))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H30. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1eb. % 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.76 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1ec]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H1ec zenon_H1e5). % 83.55/83.76 apply zenon_H165. apply refl_equal. % 83.55/83.76 apply zenon_H2b. apply refl_equal. % 83.55/83.76 apply zenon_H2b. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L125_ *) % 83.55/83.76 assert (zenon_L126_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H17e zenon_H1d9 zenon_H1d8 zenon_H1a5 zenon_H14 zenon_H2c zenon_H187 zenon_H1d4 zenon_H181 zenon_H1dc zenon_H1eb zenon_H2e. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.55/83.76 apply (zenon_L116_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.55/83.76 apply (zenon_L97_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.55/83.76 apply (zenon_L119_); trivial. % 83.55/83.76 apply (zenon_L125_); trivial. % 83.55/83.76 (* end of lemma zenon_L126_ *) % 83.55/83.76 assert (zenon_L127_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H2e zenon_H1eb zenon_H1dc zenon_H1d4 zenon_H187 zenon_H2c zenon_H14 zenon_H1a5 zenon_H1d8 zenon_H1d9 zenon_H1cf zenon_H1e8 zenon_H163 zenon_H181 zenon_H1bf zenon_H195. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.55/83.76 apply (zenon_L9_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.55/83.76 apply (zenon_L126_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.55/83.76 apply (zenon_L99_); trivial. % 83.55/83.76 apply (zenon_L113_); trivial. % 83.55/83.76 (* end of lemma zenon_L127_ *) % 83.55/83.76 assert (zenon_L128_ : ((op1 (e13) (e10)) = (e11)) -> ((op1 (e13) (e10)) = (e13)) -> (~((e11) = (e13))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H195 zenon_H1ed zenon_H1ee. % 83.55/83.76 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ]. % 83.55/83.76 cut (((e13) = (e13)) = ((e11) = (e13))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1ee. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1ef. % 83.55/83.76 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.55/83.76 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op1 (e13) (e10)) = (e11)) = ((e13) = (e11))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1f1. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H195. % 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.76 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H1f2 zenon_H1ed). % 83.55/83.76 apply zenon_H165. apply refl_equal. % 83.55/83.76 apply zenon_H1f0. apply refl_equal. % 83.55/83.76 apply zenon_H1f0. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L128_ *) % 83.55/83.76 assert (zenon_L129_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H1ee zenon_H1c8 zenon_H42 zenon_H176 zenon_H1bf zenon_H163 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1a5 zenon_H2c zenon_H187 zenon_H1d4 zenon_H1dc zenon_H2e zenon_H1c9 zenon_H1a0 zenon_H1b6 zenon_H18e zenon_H3f zenon_H1e0 zenon_H1e4 zenon_H161 zenon_H1f4 zenon_H1c2 zenon_H50 zenon_H45 zenon_H56 zenon_H1b9 zenon_H16 zenon_H1ba zenon_H16d zenon_H16b zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a9 zenon_H1b0 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.76 apply (zenon_L7_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.76 apply (zenon_L90_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.76 apply (zenon_L93_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.76 apply (zenon_L3_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.76 apply (zenon_L3_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.76 apply (zenon_L115_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.76 apply (zenon_L12_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.76 apply (zenon_L94_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.76 apply (zenon_L90_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.76 apply (zenon_L124_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.76 apply (zenon_L105_); trivial. % 83.55/83.76 apply (zenon_L127_); trivial. % 83.55/83.76 apply (zenon_L114_); trivial. % 83.55/83.76 apply (zenon_L128_); trivial. % 83.55/83.76 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.76 apply (zenon_L4_); trivial. % 83.55/83.76 apply (zenon_L5_); trivial. % 83.55/83.76 (* end of lemma zenon_L129_ *) % 83.55/83.76 assert (zenon_L130_ : (~((h1 (e11)) = (e21))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1fc zenon_H1fd zenon_H7a. % 83.55/83.76 cut (((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) = ((h1 (e11)) = (e21))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1fc. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1fd. % 83.55/83.76 cut (((op2 (e20) (op2 (e20) (e20))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 83.55/83.76 cut (((h1 (e11)) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 83.55/83.76 congruence. % 83.55/83.76 apply zenon_H1fe. apply refl_equal. % 83.55/83.76 apply zenon_H88. apply sym_equal. exact zenon_H7a. % 83.55/83.76 (* end of lemma zenon_L130_ *) % 83.55/83.76 assert (zenon_L131_ : ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((e10) = (e13))) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1ff zenon_H1d9 zenon_H200. % 83.55/83.76 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ]. % 83.55/83.76 cut (((e13) = (e13)) = ((e10) = (e13))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H200. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1ef. % 83.55/83.76 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.55/83.76 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 83.55/83.76 congruence. % 83.55/83.76 cut (((op1 (e12) (e10)) = (e10)) = ((e13) = (e10))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H201. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H1ff. % 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.76 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 83.55/83.76 congruence. % 83.55/83.76 exact (zenon_H202 zenon_H1d9). % 83.55/83.76 apply zenon_H12. apply refl_equal. % 83.55/83.76 apply zenon_H1f0. apply refl_equal. % 83.55/83.76 apply zenon_H1f0. apply refl_equal. % 83.55/83.76 (* end of lemma zenon_L131_ *) % 83.55/83.76 assert (zenon_L132_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> False). % 83.55/83.76 do 0 intro. intros zenon_H1bf zenon_H16b zenon_H169 zenon_H1c0. % 83.55/83.76 cut (((op1 (op1 (e10) (e11)) (e10)) = (e11)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 83.55/83.76 intro zenon_D_pnotp. % 83.55/83.76 apply zenon_H1bf. % 83.55/83.76 rewrite <- zenon_D_pnotp. % 83.55/83.76 exact zenon_H16b. % 83.55/83.76 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c1]. % 83.55/83.77 cut (((op1 (op1 (e10) (e11)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H172]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ]. % 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (op1 (e10) (e11)) (e10)) = (op1 (e13) (e10)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H172. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H16e. % 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (op1 (e10) (e11)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H168]. % 83.55/83.77 congruence. % 83.55/83.77 apply (zenon_L91_); trivial. % 83.55/83.77 apply zenon_H16f. apply refl_equal. % 83.55/83.77 apply zenon_H16f. apply refl_equal. % 83.55/83.77 apply zenon_H1c1. apply sym_equal. exact zenon_H1c0. % 83.55/83.77 (* end of lemma zenon_L132_ *) % 83.55/83.77 assert (zenon_L133_ : ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e13) (e12)) = (e11)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H14 zenon_H203 zenon_H2c zenon_H204. % 83.55/83.77 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.55/83.77 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H204. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H205. % 83.55/83.77 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.55/83.77 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H207]. % 83.55/83.77 congruence. % 83.55/83.77 cut (((e11) = (op1 (e10) (op1 (e10) (e10)))) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H207. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H14. % 83.55/83.77 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 83.55/83.77 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H208]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.55/83.77 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e11) = (op1 (e13) (e12)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H208. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H205. % 83.55/83.77 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.55/83.77 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 83.55/83.77 congruence. % 83.55/83.77 exact (zenon_H209 zenon_H203). % 83.55/83.77 apply zenon_H206. apply refl_equal. % 83.55/83.77 apply zenon_H206. apply refl_equal. % 83.55/83.77 apply (zenon_L8_); trivial. % 83.55/83.77 apply zenon_H206. apply refl_equal. % 83.55/83.77 apply zenon_H206. apply refl_equal. % 83.55/83.77 (* end of lemma zenon_L133_ *) % 83.55/83.77 assert (zenon_L134_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e13)) = (e11)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H20a zenon_H16b zenon_H169 zenon_H20b. % 83.55/83.77 cut (((op1 (op1 (e10) (e11)) (e10)) = (e11)) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H20a. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H16b. % 83.55/83.77 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H20c]. % 83.55/83.77 cut (((op1 (op1 (e10) (e11)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H172]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ]. % 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (op1 (e10) (e11)) (e10)) = (op1 (e13) (e10)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H172. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H16e. % 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (op1 (e10) (e11)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H168]. % 83.55/83.77 congruence. % 83.55/83.77 apply (zenon_L91_); trivial. % 83.55/83.77 apply zenon_H16f. apply refl_equal. % 83.55/83.77 apply zenon_H16f. apply refl_equal. % 83.55/83.77 apply zenon_H20c. apply sym_equal. exact zenon_H20b. % 83.55/83.77 (* end of lemma zenon_L134_ *) % 83.55/83.77 assert (zenon_L135_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H20d zenon_H1ee zenon_H1ed zenon_H1bf zenon_H204 zenon_H2c zenon_H14 zenon_H20a zenon_H16b zenon_H169. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ]. % 83.55/83.77 apply (zenon_L128_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ]. % 83.55/83.77 apply (zenon_L132_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ]. % 83.55/83.77 apply (zenon_L133_); trivial. % 83.55/83.77 apply (zenon_L134_); trivial. % 83.55/83.77 (* end of lemma zenon_L135_ *) % 83.55/83.77 assert (zenon_L136_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e21) (e20)) = (e23)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H173 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H1ee zenon_H20d zenon_H1ff zenon_H200 zenon_H210 zenon_H5c zenon_Hd5 zenon_H5d zenon_H1fd zenon_H7a zenon_H64 zenon_H16 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.77 apply (zenon_L3_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.77 apply (zenon_L3_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.77 cut (((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H210. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H5c. % 83.55/83.77 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 83.55/83.77 cut (((h1 (e13)) = (h1 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H212]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((h1 (op1 (e11) (e10))) = (h1 (op1 (e11) (e10))))); [ zenon_intro zenon_H213 | zenon_intro zenon_H214 ]. % 83.55/83.77 cut (((h1 (op1 (e11) (e10))) = (h1 (op1 (e11) (e10)))) = ((h1 (e13)) = (h1 (op1 (e11) (e10))))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H212. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H213. % 83.55/83.77 cut (((h1 (op1 (e11) (e10))) = (h1 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H214]. % 83.55/83.77 cut (((h1 (op1 (e11) (e10))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H215]. % 83.55/83.77 congruence. % 83.55/83.77 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 83.55/83.77 congruence. % 83.55/83.77 exact (zenon_H216 zenon_H1aa). % 83.55/83.77 apply zenon_H214. apply refl_equal. % 83.55/83.77 apply zenon_H214. apply refl_equal. % 83.55/83.77 elim (classic ((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [ zenon_intro zenon_H217 | zenon_intro zenon_H218 ]. % 83.55/83.77 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10)))) = ((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e11)) (h1 (e10))))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H211. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H217. % 83.55/83.77 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 83.55/83.77 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))); [idtac | apply NNPP; zenon_intro zenon_H219]. % 83.55/83.77 congruence. % 83.55/83.77 cut (((op2 (e21) (e20)) = (e23)) = ((op2 (h1 (e11)) (h1 (e10))) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H219. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_Hd5. % 83.55/83.77 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))); [idtac | apply NNPP; zenon_intro zenon_H21a]. % 83.55/83.77 cut (((op2 (e21) (e20)) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H21b]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [ zenon_intro zenon_H217 | zenon_intro zenon_H218 ]. % 83.55/83.77 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10)))) = ((op2 (e21) (e20)) = (op2 (h1 (e11)) (h1 (e10))))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H21b. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H217. % 83.55/83.77 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 83.55/83.77 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H21c]. % 83.55/83.77 congruence. % 83.55/83.77 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 83.55/83.77 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc]. % 83.55/83.77 congruence. % 83.55/83.77 apply (zenon_L130_); trivial. % 83.55/83.77 exact (zenon_H72 zenon_H64). % 83.55/83.77 apply zenon_H218. apply refl_equal. % 83.55/83.77 apply zenon_H218. apply refl_equal. % 83.55/83.77 exact (zenon_H21a zenon_H5d). % 83.55/83.77 apply zenon_H218. apply refl_equal. % 83.55/83.77 apply zenon_H218. apply refl_equal. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.77 apply (zenon_L131_); trivial. % 83.55/83.77 apply (zenon_L135_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.77 apply (zenon_L4_); trivial. % 83.55/83.77 apply (zenon_L5_); trivial. % 83.55/83.77 (* end of lemma zenon_L136_ *) % 83.55/83.77 assert (zenon_L137_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H20d zenon_H163 zenon_H194 zenon_H1bf zenon_H204 zenon_H2c zenon_H14 zenon_H20a zenon_H16b zenon_H169. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ]. % 83.55/83.77 apply (zenon_L102_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ]. % 83.55/83.77 apply (zenon_L132_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ]. % 83.55/83.77 apply (zenon_L133_); trivial. % 83.55/83.77 apply (zenon_L134_); trivial. % 83.55/83.77 (* end of lemma zenon_L137_ *) % 83.55/83.77 assert (zenon_L138_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H194 zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.77 apply (zenon_L3_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.77 apply (zenon_L137_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.77 apply (zenon_L4_); trivial. % 83.55/83.77 apply (zenon_L5_); trivial. % 83.55/83.77 (* end of lemma zenon_L138_ *) % 83.55/83.77 assert (zenon_L139_ : ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> (~((e20) = (e23))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H21d zenon_H152 zenon_H21e. % 83.55/83.77 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ]. % 83.55/83.77 cut (((e23) = (e23)) = ((e20) = (e23))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H21e. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_Hd7. % 83.55/83.77 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.55/83.77 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H21f]. % 83.55/83.77 congruence. % 83.55/83.77 cut (((op2 (e22) (e20)) = (e20)) = ((e23) = (e20))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H21f. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H21d. % 83.55/83.77 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.55/83.77 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 83.55/83.77 congruence. % 83.55/83.77 exact (zenon_H153 zenon_H152). % 83.55/83.77 apply zenon_H60. apply refl_equal. % 83.55/83.77 apply zenon_Hd8. apply refl_equal. % 83.55/83.77 apply zenon_Hd8. apply refl_equal. % 83.55/83.77 (* end of lemma zenon_L139_ *) % 83.55/83.77 assert (zenon_L140_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H11b zenon_Hd6 zenon_H159 zenon_H13e zenon_H112 zenon_H78 zenon_H7a zenon_H118 zenon_Hba zenon_Hb8. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ]. % 83.55/83.77 apply (zenon_L88_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ]. % 83.55/83.77 apply (zenon_L78_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ]. % 83.55/83.77 apply (zenon_L66_); trivial. % 83.55/83.77 apply (zenon_L67_); trivial. % 83.55/83.77 (* end of lemma zenon_L140_ *) % 83.55/83.77 assert (zenon_L141_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_Hc9 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H21d zenon_H21e zenon_H61 zenon_H220 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1f3 zenon_H1f5 zenon_H64 zenon_H1fd zenon_H5c zenon_H210 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.55/83.77 apply (zenon_L43_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.55/83.77 apply (zenon_L43_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.77 apply (zenon_L11_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.77 apply (zenon_L20_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.77 apply (zenon_L22_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.77 apply (zenon_L11_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.77 apply (zenon_L129_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.77 apply (zenon_L136_); trivial. % 83.55/83.77 apply (zenon_L138_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.55/83.77 apply (zenon_L139_); trivial. % 83.55/83.77 apply (zenon_L140_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.55/83.77 apply (zenon_L46_); trivial. % 83.55/83.77 apply (zenon_L31_); trivial. % 83.55/83.77 (* end of lemma zenon_L141_ *) % 83.55/83.77 assert (zenon_L142_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H11b zenon_Had zenon_H10b zenon_H13e zenon_H112 zenon_H78 zenon_H7a zenon_H118 zenon_Hba zenon_Hb8. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ]. % 83.55/83.77 apply (zenon_L64_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ]. % 83.55/83.77 apply (zenon_L78_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ]. % 83.55/83.77 apply (zenon_L66_); trivial. % 83.55/83.77 apply (zenon_L67_); trivial. % 83.55/83.77 (* end of lemma zenon_L142_ *) % 83.55/83.77 assert (zenon_L143_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_H10b zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.55/83.77 apply (zenon_L43_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.55/83.77 apply (zenon_L142_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.55/83.77 apply (zenon_L46_); trivial. % 83.55/83.77 apply (zenon_L31_); trivial. % 83.55/83.77 (* end of lemma zenon_L143_ *) % 83.55/83.77 assert (zenon_L144_ : (~((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H223 zenon_H169. % 83.55/83.77 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1c7]. % 83.55/83.77 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.77 congruence. % 83.55/83.77 apply zenon_H12. apply refl_equal. % 83.55/83.77 exact (zenon_H1c7 zenon_H169). % 83.55/83.77 (* end of lemma zenon_L144_ *) % 83.55/83.77 assert (zenon_L145_ : (~((op1 (e10) (op1 (e10) (e11))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H224 zenon_H42 zenon_H169. % 83.55/83.77 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (op1 (e10) (e11))) = (e10))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H224. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H42. % 83.55/83.77 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.77 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H225]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (op1 (e10) (e11))))); [ zenon_intro zenon_H226 | zenon_intro zenon_H227 ]. % 83.55/83.77 cut (((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (op1 (e10) (e11)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e10) (e11))))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H225. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H226. % 83.55/83.77 cut (((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H227]. % 83.55/83.77 cut (((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H223]. % 83.55/83.77 congruence. % 83.55/83.77 apply (zenon_L144_); trivial. % 83.55/83.77 apply zenon_H227. apply refl_equal. % 83.55/83.77 apply zenon_H227. apply refl_equal. % 83.55/83.77 apply zenon_H12. apply refl_equal. % 83.55/83.77 (* end of lemma zenon_L145_ *) % 83.55/83.77 assert (zenon_L146_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (op1 (e10) (e11))) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H56 zenon_H169 zenon_H224 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.55/83.77 apply (zenon_L145_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.55/83.77 apply (zenon_L15_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.55/83.77 apply (zenon_L17_); trivial. % 83.55/83.77 apply (zenon_L19_); trivial. % 83.55/83.77 (* end of lemma zenon_L146_ *) % 83.55/83.77 assert (zenon_L147_ : ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e11) (e11)) = (e13)) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H17 zenon_H228 zenon_H14 zenon_H229. % 83.55/83.77 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H22a | zenon_intro zenon_H22b ]. % 83.55/83.77 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H229. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H22a. % 83.55/83.77 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22b]. % 83.55/83.77 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22c]. % 83.55/83.77 congruence. % 83.55/83.77 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H22c. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H17. % 83.55/83.77 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 83.55/83.77 cut (((e13) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22d]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H22a | zenon_intro zenon_H22b ]. % 83.55/83.77 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e13) = (op1 (e11) (e11)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H22d. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H22a. % 83.55/83.77 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22b]. % 83.55/83.77 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H22e]. % 83.55/83.77 congruence. % 83.55/83.77 exact (zenon_H22e zenon_H228). % 83.55/83.77 apply zenon_H22b. apply refl_equal. % 83.55/83.77 apply zenon_H22b. apply refl_equal. % 83.55/83.77 apply (zenon_L2_); trivial. % 83.55/83.77 apply zenon_H22b. apply refl_equal. % 83.55/83.77 apply zenon_H22b. apply refl_equal. % 83.55/83.77 (* end of lemma zenon_L147_ *) % 83.55/83.77 assert (zenon_L148_ : ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e12) (e11)) = (e13)) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H17 zenon_H22f zenon_H14 zenon_H230. % 83.55/83.77 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H231 | zenon_intro zenon_H1d7 ]. % 83.55/83.77 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H230. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H231. % 83.55/83.77 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d7]. % 83.55/83.77 cut (((op1 (e12) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H232]. % 83.55/83.77 congruence. % 83.55/83.77 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((op1 (e12) (e11)) = (op1 (e10) (e11)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H232. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H17. % 83.55/83.77 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 83.55/83.77 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H233]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H231 | zenon_intro zenon_H1d7 ]. % 83.55/83.77 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e13) = (op1 (e12) (e11)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H233. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H231. % 83.55/83.77 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d7]. % 83.55/83.77 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H234]. % 83.55/83.77 congruence. % 83.55/83.77 exact (zenon_H234 zenon_H22f). % 83.55/83.77 apply zenon_H1d7. apply refl_equal. % 83.55/83.77 apply zenon_H1d7. apply refl_equal. % 83.55/83.77 apply (zenon_L2_); trivial. % 83.55/83.77 apply zenon_H1d7. apply refl_equal. % 83.55/83.77 apply zenon_H1d7. apply refl_equal. % 83.55/83.77 (* end of lemma zenon_L148_ *) % 83.55/83.77 assert (zenon_L149_ : ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e13) (e11)) = (e13)) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H17 zenon_H235 zenon_H14 zenon_H236. % 83.55/83.77 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.77 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H236. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H237. % 83.55/83.77 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.77 cut (((op1 (e13) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H239]. % 83.55/83.77 congruence. % 83.55/83.77 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((op1 (e13) (e11)) = (op1 (e10) (e11)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H239. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H17. % 83.55/83.77 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 83.55/83.77 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H23a]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.77 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e13) = (op1 (e13) (e11)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H23a. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H237. % 83.55/83.77 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.77 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H23b]. % 83.55/83.77 congruence. % 83.55/83.77 exact (zenon_H23b zenon_H235). % 83.55/83.77 apply zenon_H238. apply refl_equal. % 83.55/83.77 apply zenon_H238. apply refl_equal. % 83.55/83.77 apply (zenon_L2_); trivial. % 83.55/83.77 apply zenon_H238. apply refl_equal. % 83.55/83.77 apply zenon_H238. apply refl_equal. % 83.55/83.77 (* end of lemma zenon_L149_ *) % 83.55/83.77 assert (zenon_L150_ : (((op1 (e11) (e10)) = (op1 (e10) (e11)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e11))) = (e13))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H23c zenon_H23d zenon_H25 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H229 zenon_H230 zenon_H17 zenon_H14 zenon_H236. % 83.55/83.77 apply (zenon_and_s _ _ zenon_H23c). zenon_intro zenon_H23f. zenon_intro zenon_H23e. % 83.55/83.77 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H224. zenon_intro zenon_H240. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H169 | zenon_intro zenon_H241 ]. % 83.55/83.77 apply (zenon_L146_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H228 | zenon_intro zenon_H242 ]. % 83.55/83.77 apply (zenon_L147_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H22f | zenon_intro zenon_H235 ]. % 83.55/83.77 apply (zenon_L148_); trivial. % 83.55/83.77 apply (zenon_L149_); trivial. % 83.55/83.77 (* end of lemma zenon_L150_ *) % 83.55/83.77 assert (zenon_L151_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_Hc9 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H21d zenon_H21e zenon_Hac zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.55/83.77 apply (zenon_L43_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.55/83.77 apply (zenon_L43_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.55/83.77 apply (zenon_L52_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.55/83.77 apply (zenon_L139_); trivial. % 83.55/83.77 apply (zenon_L140_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.55/83.77 apply (zenon_L46_); trivial. % 83.55/83.77 apply (zenon_L31_); trivial. % 83.55/83.77 (* end of lemma zenon_L151_ *) % 83.55/83.77 assert (zenon_L152_ : ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((e20) = (e21))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H21d zenon_Hbb zenon_Had. % 83.55/83.77 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ]. % 83.55/83.77 cut (((e21) = (e21)) = ((e20) = (e21))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_Had. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_Hae. % 83.55/83.77 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.55/83.77 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 83.55/83.77 congruence. % 83.55/83.77 cut (((op2 (e22) (e20)) = (e20)) = ((e21) = (e20))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_Hb0. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H21d. % 83.55/83.77 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.55/83.77 cut (((op2 (e22) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H243]. % 83.55/83.77 congruence. % 83.55/83.77 exact (zenon_H243 zenon_Hbb). % 83.55/83.77 apply zenon_H60. apply refl_equal. % 83.55/83.77 apply zenon_Haf. apply refl_equal. % 83.55/83.77 apply zenon_Haf. apply refl_equal. % 83.55/83.77 (* end of lemma zenon_L152_ *) % 83.55/83.77 assert (zenon_L153_ : (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H16d zenon_H244 zenon_H245 zenon_H195. % 83.55/83.77 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H16d. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H244. % 83.55/83.77 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H246]. % 83.55/83.77 cut (((op1 (e10) (e12)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H247]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ]. % 83.55/83.77 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e10) (e12)) = (op1 (e12) (e10)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H247. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H18f. % 83.55/83.77 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 83.55/83.77 cut (((op1 (e12) (e10)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H248]. % 83.55/83.77 congruence. % 83.55/83.77 exact (zenon_H248 zenon_H245). % 83.55/83.77 apply zenon_H190. apply refl_equal. % 83.55/83.77 apply zenon_H190. apply refl_equal. % 83.55/83.77 apply zenon_H246. apply sym_equal. exact zenon_H195. % 83.55/83.77 (* end of lemma zenon_L153_ *) % 83.55/83.77 assert (zenon_L154_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H249 zenon_H245 zenon_H16d zenon_H173 zenon_H16 zenon_H16b zenon_H1e zenon_H17 zenon_H25 zenon_H161 zenon_H163 zenon_H2e zenon_H1f3 zenon_H14 zenon_H2c zenon_H3a. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.55/83.77 apply (zenon_L7_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.55/83.77 apply (zenon_L9_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.77 apply (zenon_L7_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.77 apply (zenon_L90_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.77 apply (zenon_L93_); trivial. % 83.55/83.77 apply (zenon_L153_); trivial. % 83.55/83.77 apply (zenon_L10_); trivial. % 83.55/83.77 (* end of lemma zenon_L154_ *) % 83.55/83.77 assert (zenon_L155_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e21) = (e23))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H11b zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H15c zenon_Hb2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H210 zenon_H5c zenon_H5d zenon_H1fd zenon_H7a zenon_H64 zenon_H1f5 zenon_H249 zenon_H245 zenon_H16d zenon_H2e zenon_H1f3 zenon_H3a zenon_H3f zenon_H220 zenon_H21e zenon_H21d zenon_Hd6. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.55/83.77 apply (zenon_L41_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.55/83.77 apply (zenon_L151_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.55/83.77 apply (zenon_L152_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.55/83.77 apply (zenon_L43_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.77 apply (zenon_L11_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.77 apply (zenon_L154_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.77 apply (zenon_L136_); trivial. % 83.55/83.77 apply (zenon_L138_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.55/83.77 apply (zenon_L139_); trivial. % 83.55/83.77 apply (zenon_L88_); trivial. % 83.55/83.77 (* end of lemma zenon_L155_ *) % 83.55/83.77 assert (zenon_L156_ : (~((op1 (e11) (op1 (e10) (e13))) = (op1 (e11) (e10)))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H24c zenon_H42. % 83.55/83.77 cut (((op1 (e10) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 83.55/83.77 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.77 congruence. % 83.55/83.77 apply zenon_H165. apply refl_equal. % 83.55/83.77 exact (zenon_H6c zenon_H42). % 83.55/83.77 (* end of lemma zenon_L156_ *) % 83.55/83.77 assert (zenon_L157_ : (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e13)) = (e10)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H24d zenon_H162 zenon_H42. % 83.55/83.77 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (op1 (e10) (e13))) = (e11))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H24d. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H162. % 83.55/83.77 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.77 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H24e]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op1 (e11) (op1 (e10) (e13))) = (op1 (e11) (op1 (e10) (e13))))); [ zenon_intro zenon_H24f | zenon_intro zenon_H250 ]. % 83.55/83.77 cut (((op1 (e11) (op1 (e10) (e13))) = (op1 (e11) (op1 (e10) (e13)))) = ((op1 (e11) (e10)) = (op1 (e11) (op1 (e10) (e13))))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H24e. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H24f. % 83.55/83.77 cut (((op1 (e11) (op1 (e10) (e13))) = (op1 (e11) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H250]. % 83.55/83.77 cut (((op1 (e11) (op1 (e10) (e13))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 83.55/83.77 congruence. % 83.55/83.77 apply (zenon_L156_); trivial. % 83.55/83.77 apply zenon_H250. apply refl_equal. % 83.55/83.77 apply zenon_H250. apply refl_equal. % 83.55/83.77 apply zenon_H165. apply refl_equal. % 83.55/83.77 (* end of lemma zenon_L157_ *) % 83.55/83.77 assert (zenon_L158_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e10)) -> (~((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 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H181 zenon_H42 zenon_H53 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H2c zenon_H14 zenon_H1a5 zenon_H1a9 zenon_H1aa zenon_H198 zenon_H3f zenon_H195 zenon_H163 zenon_H1b0 zenon_H1e4 zenon_H1e5. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.55/83.77 apply (zenon_L101_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.55/83.77 apply (zenon_L98_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.55/83.77 apply (zenon_L102_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.55/83.77 apply (zenon_L103_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.55/83.77 apply (zenon_L108_); trivial. % 83.55/83.77 apply (zenon_L18_); trivial. % 83.55/83.77 apply (zenon_L122_); trivial. % 83.55/83.77 (* end of lemma zenon_L158_ *) % 83.55/83.77 assert (zenon_L159_ : ((op1 (e11) (e12)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((e10) = (e13))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H19b zenon_H1ab zenon_H200. % 83.55/83.77 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ]. % 83.55/83.77 cut (((e13) = (e13)) = ((e10) = (e13))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H200. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H1ef. % 83.55/83.77 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.55/83.77 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 83.55/83.77 congruence. % 83.55/83.77 cut (((op1 (e11) (e12)) = (e10)) = ((e13) = (e10))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H201. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H19b. % 83.55/83.77 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.77 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 83.55/83.77 congruence. % 83.55/83.77 exact (zenon_H251 zenon_H1ab). % 83.55/83.77 apply zenon_H12. apply refl_equal. % 83.55/83.77 apply zenon_H1f0. apply refl_equal. % 83.55/83.77 apply zenon_H1f0. apply refl_equal. % 83.55/83.77 (* end of lemma zenon_L159_ *) % 83.55/83.77 assert (zenon_L160_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> ((op1 (e13) (e12)) = (e10)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H252 zenon_H42 zenon_H253 zenon_H19c. % 83.55/83.77 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H252. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H42. % 83.55/83.77 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 83.55/83.77 cut (((op1 (e10) (e13)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H254]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ]. % 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e10) (e13)) = (op1 (e13) (e10)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H254. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H16e. % 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H255]. % 83.55/83.77 congruence. % 83.55/83.77 exact (zenon_H255 zenon_H253). % 83.55/83.77 apply zenon_H16f. apply refl_equal. % 83.55/83.77 apply zenon_H16f. apply refl_equal. % 83.55/83.77 apply zenon_H19d. apply sym_equal. exact zenon_H19c. % 83.55/83.77 (* end of lemma zenon_L160_ *) % 83.55/83.77 assert (zenon_L161_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H256 zenon_H3a zenon_H200 zenon_H1ab zenon_H181 zenon_H1d4 zenon_H252 zenon_H42 zenon_H253. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.55/83.77 apply (zenon_L21_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.55/83.77 apply (zenon_L159_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.55/83.77 apply (zenon_L117_); trivial. % 83.55/83.77 apply (zenon_L160_); trivial. % 83.55/83.77 (* end of lemma zenon_L161_ *) % 83.55/83.77 assert (zenon_L162_ : ((op1 (e11) (e13)) = (e12)) -> ((op1 (e11) (e13)) = (e13)) -> (~((e12) = (e13))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H1e5 zenon_H259 zenon_H25a. % 83.55/83.77 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ]. % 83.55/83.77 cut (((e13) = (e13)) = ((e12) = (e13))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H25a. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H1ef. % 83.55/83.77 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.55/83.77 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H25b]. % 83.55/83.77 congruence. % 83.55/83.77 cut (((op1 (e11) (e13)) = (e12)) = ((e13) = (e12))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H25b. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H1e5. % 83.55/83.77 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.77 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H25c]. % 83.55/83.77 congruence. % 83.55/83.77 exact (zenon_H25c zenon_H259). % 83.55/83.77 apply zenon_H2b. apply refl_equal. % 83.55/83.77 apply zenon_H1f0. apply refl_equal. % 83.55/83.77 apply zenon_H1f0. apply refl_equal. % 83.55/83.77 (* end of lemma zenon_L162_ *) % 83.55/83.77 assert (zenon_L163_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((e12) = (e13))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H25d zenon_H1e4 zenon_H1b0 zenon_H163 zenon_H195 zenon_H3f zenon_H198 zenon_H1a9 zenon_H1a5 zenon_H2c zenon_H1a0 zenon_H19a zenon_H1ad zenon_H53 zenon_H18e zenon_H1b6 zenon_H229 zenon_H14 zenon_H17 zenon_H253 zenon_H42 zenon_H252 zenon_H1d4 zenon_H181 zenon_H200 zenon_H3a zenon_H256 zenon_H1e5 zenon_H25a. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.55/83.77 apply (zenon_L158_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.55/83.77 apply (zenon_L147_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.55/83.77 apply (zenon_L161_); trivial. % 83.55/83.77 apply (zenon_L162_); trivial. % 83.55/83.77 (* end of lemma zenon_L163_ *) % 83.55/83.77 assert (zenon_L164_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H1ee zenon_H20d zenon_H1c8 zenon_H161 zenon_H176 zenon_H163 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H2e zenon_H1c9 zenon_H1a0 zenon_H1b9 zenon_H16 zenon_H25d zenon_H1e4 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H53 zenon_H18e zenon_H1b6 zenon_H229 zenon_H253 zenon_H42 zenon_H252 zenon_H200 zenon_H3a zenon_H256 zenon_H25a zenon_H24d zenon_H1f4 zenon_H1c2 zenon_H50 zenon_H45 zenon_H56 zenon_H1ba zenon_H16d zenon_H49 zenon_H4d zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.77 apply (zenon_L7_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.77 apply (zenon_L157_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.77 apply (zenon_L93_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.77 apply (zenon_L3_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.77 apply (zenon_L3_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.77 apply (zenon_L115_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.77 apply (zenon_L12_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.77 apply (zenon_L94_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.77 apply (zenon_L157_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.55/83.77 apply (zenon_L116_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.55/83.77 apply (zenon_L97_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.55/83.77 apply (zenon_L119_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ]. % 83.55/83.77 apply (zenon_L95_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ]. % 83.55/83.77 apply (zenon_L97_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ]. % 83.55/83.77 apply (zenon_L98_); trivial. % 83.55/83.77 apply (zenon_L163_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.77 apply (zenon_L105_); trivial. % 83.55/83.77 apply (zenon_L127_); trivial. % 83.55/83.77 apply (zenon_L114_); trivial. % 83.55/83.77 apply (zenon_L135_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.77 apply (zenon_L4_); trivial. % 83.55/83.77 apply (zenon_L5_); trivial. % 83.55/83.77 (* end of lemma zenon_L164_ *) % 83.55/83.77 assert (zenon_L165_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((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 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_Hc9 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H21d zenon_H21e zenon_H61 zenon_H220 zenon_H4d zenon_H49 zenon_H16d zenon_H1ba zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H3a zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H53 zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1f3 zenon_H1f5 zenon_H64 zenon_H1fd zenon_H5c zenon_H210 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.55/83.77 apply (zenon_L43_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.55/83.77 apply (zenon_L43_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.77 apply (zenon_L11_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.77 apply (zenon_L20_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.77 apply (zenon_L22_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.77 apply (zenon_L11_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.77 apply (zenon_L164_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.77 apply (zenon_L136_); trivial. % 83.55/83.77 apply (zenon_L138_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.55/83.77 apply (zenon_L139_); trivial. % 83.55/83.77 apply (zenon_L140_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.55/83.77 apply (zenon_L46_); trivial. % 83.55/83.77 apply (zenon_L31_); trivial. % 83.55/83.77 (* end of lemma zenon_L165_ *) % 83.55/83.77 assert (zenon_L166_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> ((op1 (e12) (e11)) = (e10)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H230 zenon_H161 zenon_H260 zenon_H181. % 83.55/83.77 cut (((op1 (e11) (e10)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H230. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H161. % 83.55/83.77 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H261]. % 83.55/83.77 cut (((op1 (e11) (e10)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H262]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 83.55/83.77 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e11) (e10)) = (op1 (e10) (e11)))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H262. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H36. % 83.55/83.77 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 83.55/83.77 cut (((op1 (e10) (e11)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H263]. % 83.55/83.77 congruence. % 83.55/83.77 exact (zenon_H263 zenon_H260). % 83.55/83.77 apply zenon_H37. apply refl_equal. % 83.55/83.77 apply zenon_H37. apply refl_equal. % 83.55/83.77 apply zenon_H261. apply sym_equal. exact zenon_H181. % 83.55/83.77 (* end of lemma zenon_L166_ *) % 83.55/83.77 assert (zenon_L167_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H173 zenon_H16 zenon_H1c2 zenon_H230 zenon_H161 zenon_H260 zenon_H176 zenon_H42 zenon_H1c8 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.77 apply (zenon_L3_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.77 apply (zenon_L12_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.77 apply (zenon_L94_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.77 apply (zenon_L166_); trivial. % 83.55/83.77 apply (zenon_L114_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.77 apply (zenon_L4_); trivial. % 83.55/83.77 apply (zenon_L5_); trivial. % 83.55/83.77 (* end of lemma zenon_L167_ *) % 83.55/83.77 assert (zenon_L168_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e21) = (e23))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H11b zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H15c zenon_Hb2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H210 zenon_H5c zenon_H5d zenon_H1fd zenon_H7a zenon_H64 zenon_H1f5 zenon_H1c2 zenon_H230 zenon_H260 zenon_H176 zenon_H1c8 zenon_H3f zenon_H220 zenon_H56 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H61 zenon_H21e zenon_H21d zenon_Hd6. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.55/83.77 apply (zenon_L41_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.55/83.77 apply (zenon_L151_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.55/83.77 apply (zenon_L152_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.55/83.77 apply (zenon_L43_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.77 apply (zenon_L11_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.77 apply (zenon_L20_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.77 apply (zenon_L22_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.77 apply (zenon_L11_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.77 apply (zenon_L167_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.77 apply (zenon_L136_); trivial. % 83.55/83.77 apply (zenon_L138_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.55/83.77 apply (zenon_L139_); trivial. % 83.55/83.77 apply (zenon_L88_); trivial. % 83.55/83.77 (* end of lemma zenon_L168_ *) % 83.55/83.77 assert (zenon_L169_ : (~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H264 zenon_H17e. % 83.55/83.77 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H265]. % 83.55/83.77 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.77 congruence. % 83.55/83.77 apply zenon_H165. apply refl_equal. % 83.55/83.77 exact (zenon_H265 zenon_H17e). % 83.55/83.77 (* end of lemma zenon_L169_ *) % 83.55/83.77 assert (zenon_L170_ : (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> ((op1 (e11) (e11)) = (e11)) -> False). % 83.55/83.77 do 0 intro. intros zenon_H266 zenon_H17e. % 83.55/83.77 cut (((op1 (e11) (e11)) = (e11)) = ((op1 (e11) (op1 (e11) (e11))) = (e11))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H266. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H17e. % 83.55/83.77 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.77 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H267]. % 83.55/83.77 congruence. % 83.55/83.77 elim (classic ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (op1 (e11) (e11))))); [ zenon_intro zenon_H268 | zenon_intro zenon_H269 ]. % 83.55/83.77 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (op1 (e11) (e11)))) = ((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))). % 83.55/83.77 intro zenon_D_pnotp. % 83.55/83.77 apply zenon_H267. % 83.55/83.77 rewrite <- zenon_D_pnotp. % 83.55/83.77 exact zenon_H268. % 83.55/83.77 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 83.55/83.77 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H264]. % 83.55/83.77 congruence. % 83.55/83.77 apply (zenon_L169_); trivial. % 83.55/83.77 apply zenon_H269. apply refl_equal. % 83.55/83.77 apply zenon_H269. apply refl_equal. % 83.55/83.77 apply zenon_H165. apply refl_equal. % 83.55/83.77 (* end of lemma zenon_L170_ *) % 83.55/83.77 assert (zenon_L171_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H1ee zenon_H20d zenon_H1c8 zenon_H42 zenon_H176 zenon_H163 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H2e zenon_H1c9 zenon_H1a0 zenon_H266 zenon_H161 zenon_H1f4 zenon_H1c2 zenon_H50 zenon_H45 zenon_H56 zenon_H1b9 zenon_H16 zenon_H1ba zenon_H16d zenon_H1b6 zenon_H18e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.77 apply (zenon_L7_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.77 apply (zenon_L90_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.77 apply (zenon_L93_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.77 apply (zenon_L3_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.77 apply (zenon_L3_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.77 apply (zenon_L115_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.77 apply (zenon_L12_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.77 apply (zenon_L94_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.77 apply (zenon_L90_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.77 apply (zenon_L170_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.77 apply (zenon_L105_); trivial. % 83.55/83.77 apply (zenon_L127_); trivial. % 83.55/83.77 apply (zenon_L114_); trivial. % 83.55/83.77 apply (zenon_L135_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.77 apply (zenon_L4_); trivial. % 83.55/83.77 apply (zenon_L5_); trivial. % 83.55/83.77 (* end of lemma zenon_L171_ *) % 83.55/83.77 assert (zenon_L172_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.55/83.77 do 0 intro. intros zenon_Hc9 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H21d zenon_H21e zenon_H61 zenon_H220 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1f3 zenon_H1f5 zenon_H64 zenon_H1fd zenon_H5c zenon_H210 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.55/83.77 apply (zenon_L43_); trivial. % 83.55/83.77 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.55/83.77 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.55/83.78 apply (zenon_L43_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.78 apply (zenon_L20_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.78 apply (zenon_L22_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.78 apply (zenon_L171_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.78 apply (zenon_L136_); trivial. % 83.55/83.78 apply (zenon_L138_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.55/83.78 apply (zenon_L139_); trivial. % 83.55/83.78 apply (zenon_L140_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.55/83.78 apply (zenon_L46_); trivial. % 83.55/83.78 apply (zenon_L31_); trivial. % 83.55/83.78 (* end of lemma zenon_L172_ *) % 83.55/83.78 assert (zenon_L173_ : (~((op1 (e10) (op1 (e11) (e12))) = (op1 (e10) (e13)))) -> ((op1 (e11) (e12)) = (e13)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H26a zenon_H1ab. % 83.55/83.78 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H12. apply refl_equal. % 83.55/83.78 exact (zenon_H251 zenon_H1ab). % 83.55/83.78 (* end of lemma zenon_L173_ *) % 83.55/83.78 assert (zenon_L174_ : (~((op1 (e10) (op1 (e11) (e12))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H26b zenon_H42 zenon_H1ab. % 83.55/83.78 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (op1 (e11) (e12))) = (e10))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H26b. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H42. % 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.78 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H26c]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e10) (op1 (e11) (e12))) = (op1 (e10) (op1 (e11) (e12))))); [ zenon_intro zenon_H26d | zenon_intro zenon_H26e ]. % 83.55/83.78 cut (((op1 (e10) (op1 (e11) (e12))) = (op1 (e10) (op1 (e11) (e12)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e11) (e12))))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H26c. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H26d. % 83.55/83.78 cut (((op1 (e10) (op1 (e11) (e12))) = (op1 (e10) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H26e]. % 83.55/83.78 cut (((op1 (e10) (op1 (e11) (e12))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H26a]. % 83.55/83.78 congruence. % 83.55/83.78 apply (zenon_L173_); trivial. % 83.55/83.78 apply zenon_H26e. apply refl_equal. % 83.55/83.78 apply zenon_H26e. apply refl_equal. % 83.55/83.78 apply zenon_H12. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L174_ *) % 83.55/83.78 assert (zenon_L175_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e11) (e12))) = (e10))) -> ((op1 (e11) (e13)) = (e12)) -> (~((e12) = (e13))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1b9 zenon_H16 zenon_H2e zenon_H17e zenon_H25d zenon_H1e4 zenon_H1b0 zenon_H163 zenon_H195 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H2c zenon_H1a0 zenon_H19a zenon_H1ad zenon_H53 zenon_H181 zenon_H18e zenon_H1b6 zenon_H229 zenon_H14 zenon_H17 zenon_H42 zenon_H26b zenon_H1e5 zenon_H25a. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ]. % 83.55/83.78 apply (zenon_L95_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ]. % 83.55/83.78 apply (zenon_L97_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ]. % 83.55/83.78 apply (zenon_L98_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.55/83.78 apply (zenon_L158_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.55/83.78 apply (zenon_L147_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.55/83.78 apply (zenon_L174_); trivial. % 83.55/83.78 apply (zenon_L162_); trivial. % 83.55/83.78 (* end of lemma zenon_L175_ *) % 83.55/83.78 assert (zenon_L176_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (op1 (e11) (e12))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((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 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H25a zenon_H26b zenon_H42 zenon_H17 zenon_H14 zenon_H229 zenon_H1b6 zenon_H18e zenon_H53 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H2c zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1e4 zenon_H25d zenon_H2e zenon_H16 zenon_H1b9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1d8 zenon_H1d9 zenon_H1cf zenon_H1e8 zenon_H163 zenon_H181 zenon_H1bf zenon_H195. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.55/83.78 apply (zenon_L9_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.55/83.78 apply (zenon_L116_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.55/83.78 apply (zenon_L97_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.55/83.78 apply (zenon_L119_); trivial. % 83.55/83.78 apply (zenon_L175_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.55/83.78 apply (zenon_L99_); trivial. % 83.55/83.78 apply (zenon_L113_); trivial. % 83.55/83.78 (* end of lemma zenon_L176_ *) % 83.55/83.78 assert (zenon_L177_ : ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e11) = (e13))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H162 zenon_H1aa zenon_H1ee. % 83.55/83.78 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ]. % 83.55/83.78 cut (((e13) = (e13)) = ((e11) = (e13))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H1ee. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1ef. % 83.55/83.78 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.55/83.78 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 83.55/83.78 congruence. % 83.55/83.78 cut (((op1 (e11) (e10)) = (e11)) = ((e13) = (e11))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H1f1. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H162. % 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.78 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 83.55/83.78 congruence. % 83.55/83.78 exact (zenon_H216 zenon_H1aa). % 83.55/83.78 apply zenon_H165. apply refl_equal. % 83.55/83.78 apply zenon_H1f0. apply refl_equal. % 83.55/83.78 apply zenon_H1f0. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L177_ *) % 83.55/83.78 assert (zenon_L178_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H173 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H1ee zenon_H20d zenon_H1ff zenon_H200 zenon_H162 zenon_H16 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.78 apply (zenon_L177_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.78 apply (zenon_L131_); trivial. % 83.55/83.78 apply (zenon_L135_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 (* end of lemma zenon_L178_ *) % 83.55/83.78 assert (zenon_L179_ : ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((e10) = (e11))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1ff zenon_H16c zenon_H163. % 83.55/83.78 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ]. % 83.55/83.78 cut (((e11) = (e11)) = ((e10) = (e11))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H163. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H164. % 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.78 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 83.55/83.78 congruence. % 83.55/83.78 cut (((op1 (e12) (e10)) = (e10)) = ((e11) = (e10))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H166. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1ff. % 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.78 cut (((op1 (e12) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H26f]. % 83.55/83.78 congruence. % 83.55/83.78 exact (zenon_H26f zenon_H16c). % 83.55/83.78 apply zenon_H12. apply refl_equal. % 83.55/83.78 apply zenon_H165. apply refl_equal. % 83.55/83.78 apply zenon_H165. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L179_ *) % 83.55/83.78 assert (zenon_L180_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e11)) -> (~((e10) = (e11))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H177 zenon_H17e zenon_H163. % 83.55/83.78 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ]. % 83.55/83.78 cut (((e11) = (e11)) = ((e10) = (e11))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H163. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H164. % 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.78 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 83.55/83.78 congruence. % 83.55/83.78 cut (((op1 (e11) (e11)) = (e10)) = ((e11) = (e10))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H166. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H177. % 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.78 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H265]. % 83.55/83.78 congruence. % 83.55/83.78 exact (zenon_H265 zenon_H17e). % 83.55/83.78 apply zenon_H12. apply refl_equal. % 83.55/83.78 apply zenon_H165. apply refl_equal. % 83.55/83.78 apply zenon_H165. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L180_ *) % 83.55/83.78 assert (zenon_L181_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((op1 (e11) (e12)) = (e10)) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1b0 zenon_H16b zenon_H20a zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H169 zenon_H1c2 zenon_H19b zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.55/83.78 apply (zenon_L137_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.55/83.78 apply (zenon_L114_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.55/83.78 apply (zenon_L104_); trivial. % 83.55/83.78 apply (zenon_L19_); trivial. % 83.55/83.78 (* end of lemma zenon_L181_ *) % 83.55/83.78 assert (zenon_L182_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1d8 zenon_H1ff zenon_H1d5. % 83.55/83.78 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H1d8. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1ff. % 83.55/83.78 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d6]. % 83.55/83.78 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H190. apply refl_equal. % 83.55/83.78 apply zenon_H1d6. apply sym_equal. exact zenon_H1d5. % 83.55/83.78 (* end of lemma zenon_L182_ *) % 83.55/83.78 assert (zenon_L183_ : ((op1 (e12) (e11)) = (op1 (e11) (e12))) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (op1 (e11) (e12))) = (e11))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H270 zenon_H184 zenon_H1a6 zenon_H271. % 83.55/83.78 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ]. % 83.55/83.78 cut (((e11) = (e11)) = ((op1 (e11) (op1 (e11) (e12))) = (e11))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H271. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H164. % 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.78 cut (((e11) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H272]. % 83.55/83.78 congruence. % 83.55/83.78 cut (((op1 (e12) (e11)) = (op1 (e11) (e12))) = ((e11) = (op1 (e11) (op1 (e11) (e12))))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H272. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H270. % 83.55/83.78 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H273]. % 83.55/83.78 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H185]. % 83.55/83.78 congruence. % 83.55/83.78 exact (zenon_H185 zenon_H184). % 83.55/83.78 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H165. apply refl_equal. % 83.55/83.78 apply zenon_H274. apply sym_equal. exact zenon_H1a6. % 83.55/83.78 apply zenon_H165. apply refl_equal. % 83.55/83.78 apply zenon_H165. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L183_ *) % 83.55/83.78 assert (zenon_L184_ : (((op1 (e12) (e11)) = (op1 (e11) (e12)))/\((~((op1 (e10) (op1 (e11) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e12))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H275 zenon_H61 zenon_H220 zenon_H25a zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1a0 zenon_H1ad zenon_H1d8 zenon_H256 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H270. zenon_intro zenon_H277. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H26b. zenon_intro zenon_H278. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H271. zenon_intro zenon_H279. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.78 apply (zenon_L20_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.78 apply (zenon_L22_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.78 apply (zenon_L7_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.78 apply (zenon_L90_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.78 apply (zenon_L93_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.78 apply (zenon_L115_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.78 apply (zenon_L12_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.78 apply (zenon_L94_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.78 apply (zenon_L176_); trivial. % 83.55/83.78 apply (zenon_L114_); trivial. % 83.55/83.78 apply (zenon_L128_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.78 apply (zenon_L7_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.78 apply (zenon_L178_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.78 apply (zenon_L179_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ]. % 83.55/83.78 apply (zenon_L115_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.55/83.78 apply (zenon_L9_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.55/83.78 apply (zenon_L180_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.55/83.78 apply (zenon_L21_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.55/83.78 apply (zenon_L181_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.55/83.78 apply (zenon_L182_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ]. % 83.55/83.78 apply (zenon_L104_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ]. % 83.55/83.78 apply (zenon_L105_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ]. % 83.55/83.78 apply (zenon_L183_); trivial. % 83.55/83.78 apply (zenon_L174_); trivial. % 83.55/83.78 apply (zenon_L132_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ]. % 83.55/83.78 apply (zenon_L181_); trivial. % 83.55/83.78 apply (zenon_L13_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.78 apply (zenon_L131_); trivial. % 83.55/83.78 apply (zenon_L135_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 apply (zenon_L138_); trivial. % 83.55/83.78 (* end of lemma zenon_L184_ *) % 83.55/83.78 assert (zenon_L185_ : (~((op1 (e12) (op1 (e11) (e13))) = (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H27c zenon_H1e5. % 83.55/83.78 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1ec]. % 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H2b. apply refl_equal. % 83.55/83.78 exact (zenon_H1ec zenon_H1e5). % 83.55/83.78 (* end of lemma zenon_L185_ *) % 83.55/83.78 assert (zenon_L186_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e11) (e13))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H27d zenon_H1e4 zenon_H1e5. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.55/83.78 apply (zenon_L101_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.55/83.78 apply (zenon_L98_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.55/83.78 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (op1 (e11) (e13))) = (e12))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H27d. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1a7. % 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.78 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H27e]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e12) (op1 (e11) (e13))) = (op1 (e12) (op1 (e11) (e13))))); [ zenon_intro zenon_H27f | zenon_intro zenon_H280 ]. % 83.55/83.78 cut (((op1 (e12) (op1 (e11) (e13))) = (op1 (e12) (op1 (e11) (e13)))) = ((op1 (e12) (e12)) = (op1 (e12) (op1 (e11) (e13))))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H27e. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H27f. % 83.55/83.78 cut (((op1 (e12) (op1 (e11) (e13))) = (op1 (e12) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H280]. % 83.55/83.78 cut (((op1 (e12) (op1 (e11) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H27c]. % 83.55/83.78 congruence. % 83.55/83.78 apply (zenon_L185_); trivial. % 83.55/83.78 apply zenon_H280. apply refl_equal. % 83.55/83.78 apply zenon_H280. apply refl_equal. % 83.55/83.78 apply zenon_H2b. apply refl_equal. % 83.55/83.78 apply (zenon_L122_); trivial. % 83.55/83.78 (* end of lemma zenon_L186_ *) % 83.55/83.78 assert (zenon_L187_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e11) (e13))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H1d9 zenon_H1d8 zenon_H1a5 zenon_H14 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H27d zenon_H1e4. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.55/83.78 apply (zenon_L116_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.55/83.78 apply (zenon_L97_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.55/83.78 apply (zenon_L119_); trivial. % 83.55/83.78 apply (zenon_L186_); trivial. % 83.55/83.78 (* end of lemma zenon_L187_ *) % 83.55/83.78 assert (zenon_L188_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e11) (e13))) = (e12))) -> (~((e10) = (e12))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H1e4 zenon_H27d zenon_H3f zenon_H2c zenon_H18e zenon_H1b6 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H14 zenon_H1a5 zenon_H1d8 zenon_H1d9 zenon_H2e zenon_H1cf zenon_H1e8 zenon_H163 zenon_H181 zenon_H1bf zenon_H195. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.55/83.78 apply (zenon_L9_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.55/83.78 apply (zenon_L187_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.55/83.78 apply (zenon_L99_); trivial. % 83.55/83.78 apply (zenon_L113_); trivial. % 83.55/83.78 (* end of lemma zenon_L188_ *) % 83.55/83.78 assert (zenon_L189_ : (((op1 (e13) (e11)) = (op1 (e11) (e13)))/\((~((op1 (e10) (op1 (e11) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e13))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (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) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H281 zenon_H61 zenon_H220 zenon_H1e4 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H53 zenon_H1f4 zenon_H1a0 zenon_H1c9 zenon_H282 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H284. zenon_intro zenon_H283. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H286. zenon_intro zenon_H285. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H288. zenon_intro zenon_H287. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H27d. zenon_intro zenon_H289. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.78 apply (zenon_L20_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.78 apply (zenon_L22_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.78 apply (zenon_L7_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.78 apply (zenon_L90_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.78 apply (zenon_L93_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.78 apply (zenon_L115_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.78 apply (zenon_L12_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.78 apply (zenon_L94_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.78 apply (zenon_L188_); trivial. % 83.55/83.78 apply (zenon_L114_); trivial. % 83.55/83.78 apply (zenon_L128_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.78 apply (zenon_L7_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.78 apply (zenon_L178_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.78 apply (zenon_L179_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ]. % 83.55/83.78 apply (zenon_L115_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.78 apply (zenon_L177_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.78 apply (zenon_L180_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.78 apply (zenon_L105_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.55/83.78 apply (zenon_L9_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.55/83.78 apply (zenon_L180_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.55/83.78 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H282. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H237. % 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28a]. % 83.55/83.78 congruence. % 83.55/83.78 cut (((op1 (e11) (e13)) = (e11)) = ((op1 (e13) (e11)) = (op1 (e12) (e11)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H28a. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1eb. % 83.55/83.78 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28b]. % 83.55/83.78 cut (((op1 (e11) (e13)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e11) (e13)) = (op1 (e13) (e11)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H28c. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H237. % 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H28d]. % 83.55/83.78 congruence. % 83.55/83.78 exact (zenon_H28d zenon_H284). % 83.55/83.78 apply zenon_H238. apply refl_equal. % 83.55/83.78 apply zenon_H238. apply refl_equal. % 83.55/83.78 apply zenon_H28b. apply sym_equal. exact zenon_H184. % 83.55/83.78 apply zenon_H238. apply refl_equal. % 83.55/83.78 apply zenon_H238. apply refl_equal. % 83.55/83.78 apply (zenon_L113_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ]. % 83.55/83.78 apply (zenon_L181_); trivial. % 83.55/83.78 apply (zenon_L15_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.78 apply (zenon_L131_); trivial. % 83.55/83.78 apply (zenon_L135_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 apply (zenon_L138_); trivial. % 83.55/83.78 (* end of lemma zenon_L189_ *) % 83.55/83.78 assert (zenon_L190_ : (~((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H28e zenon_H1d9. % 83.55/83.78 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H12. apply refl_equal. % 83.55/83.78 exact (zenon_H202 zenon_H1d9). % 83.55/83.78 (* end of lemma zenon_L190_ *) % 83.55/83.78 assert (zenon_L191_ : (~((op1 (e10) (op1 (e12) (e10))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H28f zenon_H42 zenon_H1d9. % 83.55/83.78 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (op1 (e12) (e10))) = (e10))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H28f. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H42. % 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.78 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H290]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (op1 (e12) (e10))))); [ zenon_intro zenon_H291 | zenon_intro zenon_H292 ]. % 83.55/83.78 cut (((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (op1 (e12) (e10)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e12) (e10))))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H290. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H291. % 83.55/83.78 cut (((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H292]. % 83.55/83.78 cut (((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H28e]. % 83.55/83.78 congruence. % 83.55/83.78 apply (zenon_L190_); trivial. % 83.55/83.78 apply zenon_H292. apply refl_equal. % 83.55/83.78 apply zenon_H292. apply refl_equal. % 83.55/83.78 apply zenon_H12. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L191_ *) % 83.55/83.78 assert (zenon_L192_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (op1 (e12) (e10))) -> ((op1 (e13) (e12)) = (e10)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H204 zenon_H1ff zenon_H293 zenon_H19c. % 83.55/83.78 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H204. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1ff. % 83.55/83.78 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 83.55/83.78 cut (((op1 (e12) (e10)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H248]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ]. % 83.55/83.78 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e12) (e10)) = (op1 (e10) (e12)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H248. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1f. % 83.55/83.78 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 83.55/83.78 cut (((op1 (e10) (e12)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H247]. % 83.55/83.78 congruence. % 83.55/83.78 exact (zenon_H247 zenon_H293). % 83.55/83.78 apply zenon_H20. apply refl_equal. % 83.55/83.78 apply zenon_H20. apply refl_equal. % 83.55/83.78 apply zenon_H19d. apply sym_equal. exact zenon_H19c. % 83.55/83.78 (* end of lemma zenon_L192_ *) % 83.55/83.78 assert (zenon_L193_ : (((op1 (e10) (e12)) = (op1 (e12) (e10)))/\((~((op1 (e10) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e10))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H294 zenon_H61 zenon_H220 zenon_H1f5 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H293. zenon_intro zenon_H295. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28f. zenon_intro zenon_H296. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.78 apply (zenon_L20_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.78 apply (zenon_L22_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.78 apply (zenon_L7_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.78 apply (zenon_L90_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.78 apply (zenon_L93_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.78 apply (zenon_L115_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.78 apply (zenon_L191_); trivial. % 83.55/83.78 apply (zenon_L135_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.55/83.78 apply (zenon_L22_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.55/83.78 apply (zenon_L181_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.55/83.78 apply (zenon_L182_); trivial. % 83.55/83.78 apply (zenon_L192_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 apply (zenon_L138_); trivial. % 83.55/83.78 (* end of lemma zenon_L193_ *) % 83.55/83.78 assert (zenon_L194_ : (~((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (e10)))) -> ((op1 (e12) (e11)) = (e10)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H297 zenon_H181. % 83.55/83.78 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H165. apply refl_equal. % 83.55/83.78 exact (zenon_H298 zenon_H181). % 83.55/83.78 (* end of lemma zenon_L194_ *) % 83.55/83.78 assert (zenon_L195_ : (~((op1 (e11) (op1 (e12) (e11))) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e11)) = (e10)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H299 zenon_H162 zenon_H181. % 83.55/83.78 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (op1 (e12) (e11))) = (e11))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H299. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H162. % 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H29a]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (op1 (e12) (e11))))); [ zenon_intro zenon_H29b | zenon_intro zenon_H29c ]. % 83.55/83.78 cut (((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (op1 (e12) (e11)))) = ((op1 (e11) (e10)) = (op1 (e11) (op1 (e12) (e11))))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H29a. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H29b. % 83.55/83.78 cut (((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H29c]. % 83.55/83.78 cut (((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H297]. % 83.55/83.78 congruence. % 83.55/83.78 apply (zenon_L194_); trivial. % 83.55/83.78 apply zenon_H29c. apply refl_equal. % 83.55/83.78 apply zenon_H29c. apply refl_equal. % 83.55/83.78 apply zenon_H165. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L195_ *) % 83.55/83.78 assert (zenon_L196_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> ((op1 (e13) (e12)) = (e10)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H19a zenon_H181 zenon_H29d zenon_H19c. % 83.55/83.78 cut (((op1 (e12) (e11)) = (e10)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H19a. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H181. % 83.55/83.78 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 83.55/83.78 cut (((op1 (e12) (e11)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29e]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ]. % 83.55/83.78 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e12) (e11)) = (op1 (e11) (e12)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H29e. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1a1. % 83.55/83.78 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 83.55/83.78 cut (((op1 (e11) (e12)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29f]. % 83.55/83.78 congruence. % 83.55/83.78 exact (zenon_H29f zenon_H29d). % 83.55/83.78 apply zenon_H19e. apply refl_equal. % 83.55/83.78 apply zenon_H19e. apply refl_equal. % 83.55/83.78 apply zenon_H19d. apply sym_equal. exact zenon_H19c. % 83.55/83.78 (* end of lemma zenon_L196_ *) % 83.55/83.78 assert (zenon_L197_ : ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (op1 (e12) (e11))) = (e12))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H29d zenon_H1a6 zenon_H184 zenon_H2a0. % 83.55/83.78 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ]. % 83.55/83.78 cut (((e12) = (e12)) = ((op1 (e12) (op1 (e12) (e11))) = (e12))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2a0. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H2f. % 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.78 cut (((e12) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2a1]. % 83.55/83.78 congruence. % 83.55/83.78 cut (((op1 (e11) (e12)) = (op1 (e12) (e11))) = ((e12) = (op1 (e12) (op1 (e12) (e11))))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2a1. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H29d. % 83.55/83.78 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2a2]. % 83.55/83.78 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2a3]. % 83.55/83.78 congruence. % 83.55/83.78 exact (zenon_H2a3 zenon_H1a6). % 83.55/83.78 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28b]. % 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H2b. apply refl_equal. % 83.55/83.78 apply zenon_H28b. apply sym_equal. exact zenon_H184. % 83.55/83.78 apply zenon_H2b. apply refl_equal. % 83.55/83.78 apply zenon_H2b. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L197_ *) % 83.55/83.78 assert (zenon_L198_ : (((op1 (e11) (e12)) = (op1 (e12) (e11)))/\((~((op1 (e10) (op1 (e12) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e11))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (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 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2a4 zenon_H61 zenon_H220 zenon_H1f4 zenon_H25a zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1a9 zenon_H1a0 zenon_H1ad zenon_H1d8 zenon_H256 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1a5 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H29d. zenon_intro zenon_H2a5. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a7. zenon_intro zenon_H2a6. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H299. zenon_intro zenon_H2a8. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2a0. zenon_intro zenon_H2a9. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.78 apply (zenon_L20_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.78 apply (zenon_L22_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.78 apply (zenon_L7_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.78 apply (zenon_L90_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.78 apply (zenon_L93_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.78 apply (zenon_L115_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.78 apply (zenon_L12_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.78 apply (zenon_L94_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.78 apply (zenon_L195_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.55/83.78 apply (zenon_L116_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.55/83.78 apply (zenon_L97_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.55/83.78 apply (zenon_L119_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ]. % 83.55/83.78 apply (zenon_L95_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ]. % 83.55/83.78 apply (zenon_L97_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ]. % 83.55/83.78 apply (zenon_L98_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.55/83.78 apply (zenon_L158_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.55/83.78 apply (zenon_L147_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.55/83.78 apply (zenon_L22_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.55/83.78 apply (zenon_L159_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.55/83.78 apply (zenon_L117_); trivial. % 83.55/83.78 apply (zenon_L196_); trivial. % 83.55/83.78 apply (zenon_L162_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.78 apply (zenon_L105_); trivial. % 83.55/83.78 apply (zenon_L127_); trivial. % 83.55/83.78 apply (zenon_L114_); trivial. % 83.55/83.78 apply (zenon_L135_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.78 apply (zenon_L7_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.78 apply (zenon_L178_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.78 apply (zenon_L179_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ]. % 83.55/83.78 apply (zenon_L115_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.55/83.78 apply (zenon_L9_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.55/83.78 apply (zenon_L180_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.55/83.78 apply (zenon_L21_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.55/83.78 apply (zenon_L181_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.55/83.78 apply (zenon_L182_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ]. % 83.55/83.78 apply (zenon_L104_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ]. % 83.55/83.78 apply (zenon_L105_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ]. % 83.55/83.78 apply (zenon_L197_); trivial. % 83.55/83.78 apply (zenon_L107_); trivial. % 83.55/83.78 apply (zenon_L132_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ]. % 83.55/83.78 apply (zenon_L181_); trivial. % 83.55/83.78 apply (zenon_L13_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.78 apply (zenon_L131_); trivial. % 83.55/83.78 apply (zenon_L128_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 apply (zenon_L138_); trivial. % 83.55/83.78 (* end of lemma zenon_L198_ *) % 83.55/83.78 assert (zenon_L199_ : (~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2aa zenon_H1a7. % 83.55/83.78 cut (((op1 (e12) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ab]. % 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H2b. apply refl_equal. % 83.55/83.78 exact (zenon_H2ab zenon_H1a7). % 83.55/83.78 (* end of lemma zenon_L199_ *) % 83.55/83.78 assert (zenon_L200_ : (~((op1 (e12) (op1 (e12) (e12))) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2ac zenon_H1a7. % 83.55/83.78 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (op1 (e12) (e12))) = (e12))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2ac. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1a7. % 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.78 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2ad]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (op1 (e12) (e12))))); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2af ]. % 83.55/83.78 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (op1 (e12) (e12)))) = ((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e12))))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2ad. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H2ae. % 83.55/83.78 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2af]. % 83.55/83.78 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2aa]. % 83.55/83.78 congruence. % 83.55/83.78 apply (zenon_L199_); trivial. % 83.55/83.78 apply zenon_H2af. apply refl_equal. % 83.55/83.78 apply zenon_H2af. apply refl_equal. % 83.55/83.78 apply zenon_H2b. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L200_ *) % 83.55/83.78 assert (zenon_L201_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e12))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H2ac zenon_H1e4 zenon_H1e5. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.55/83.78 apply (zenon_L101_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.55/83.78 apply (zenon_L98_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.55/83.78 apply (zenon_L200_); trivial. % 83.55/83.78 apply (zenon_L122_); trivial. % 83.55/83.78 (* end of lemma zenon_L201_ *) % 83.55/83.78 assert (zenon_L202_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e12))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H1d9 zenon_H1d8 zenon_H1a5 zenon_H14 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H2ac zenon_H1e4. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.55/83.78 apply (zenon_L116_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.55/83.78 apply (zenon_L97_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.55/83.78 apply (zenon_L119_); trivial. % 83.55/83.78 apply (zenon_L201_); trivial. % 83.55/83.78 (* end of lemma zenon_L202_ *) % 83.55/83.78 assert (zenon_L203_ : (~((op1 (e10) (op1 (e12) (e12))) = (op1 (e10) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2b0 zenon_H1da. % 83.55/83.78 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b1]. % 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H12. apply refl_equal. % 83.55/83.78 exact (zenon_H2b1 zenon_H1da). % 83.55/83.78 (* end of lemma zenon_L203_ *) % 83.55/83.78 assert (zenon_L204_ : (((op1 (e12) (e12)) = (op1 (e12) (e12)))/\((~((op1 (e10) (op1 (e12) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e12))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2b2 zenon_H61 zenon_H220 zenon_H1f5 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H1e4 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1d4 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H187 zenon_H1d8 zenon_H1dc zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H188. zenon_intro zenon_H2b3. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2b5. zenon_intro zenon_H2b4. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2b7. zenon_intro zenon_H2b6. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2ac. zenon_intro zenon_H2b8. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.78 apply (zenon_L20_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.78 apply (zenon_L22_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.78 apply (zenon_L7_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.78 apply (zenon_L90_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.78 apply (zenon_L93_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.78 apply (zenon_L115_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.78 apply (zenon_L12_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.78 apply (zenon_L94_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.78 apply (zenon_L90_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.78 apply (zenon_L202_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.78 apply (zenon_L105_); trivial. % 83.55/83.78 apply (zenon_L127_); trivial. % 83.55/83.78 apply (zenon_L114_); trivial. % 83.55/83.78 apply (zenon_L128_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dd ]. % 83.55/83.78 apply (zenon_L182_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H186 | zenon_intro zenon_H1de ]. % 83.55/83.78 apply (zenon_L100_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1da ]. % 83.55/83.78 apply (zenon_L200_); trivial. % 83.55/83.78 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (op1 (e12) (e12))) = (e10))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2b5. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H42. % 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.78 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2b9]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e10) (op1 (e12) (e12))) = (op1 (e10) (op1 (e12) (e12))))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ]. % 83.55/83.78 cut (((op1 (e10) (op1 (e12) (e12))) = (op1 (e10) (op1 (e12) (e12)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e12) (e12))))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2b9. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H2ba. % 83.55/83.78 cut (((op1 (e10) (op1 (e12) (e12))) = (op1 (e10) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2bb]. % 83.55/83.78 cut (((op1 (e10) (op1 (e12) (e12))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2b0]. % 83.55/83.78 congruence. % 83.55/83.78 apply (zenon_L203_); trivial. % 83.55/83.78 apply zenon_H2bb. apply refl_equal. % 83.55/83.78 apply zenon_H2bb. apply refl_equal. % 83.55/83.78 apply zenon_H12. apply refl_equal. % 83.55/83.78 apply (zenon_L138_); trivial. % 83.55/83.78 (* end of lemma zenon_L204_ *) % 83.55/83.78 assert (zenon_L205_ : ((op1 (e13) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (op1 (e12) (e13))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H19c zenon_H2bc zenon_H42 zenon_H50. % 83.55/83.78 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H50. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H2bd. % 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bf]. % 83.55/83.78 congruence. % 83.55/83.78 cut (((op1 (e13) (e12)) = (e10)) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2bf. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H19c. % 83.55/83.78 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c0]. % 83.55/83.78 cut (((op1 (e13) (e12)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c1]. % 83.55/83.78 congruence. % 83.55/83.78 exact (zenon_H2c1 zenon_H2bc). % 83.55/83.78 apply zenon_H2c0. apply sym_equal. exact zenon_H42. % 83.55/83.78 apply zenon_H2be. apply refl_equal. % 83.55/83.78 apply zenon_H2be. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L205_ *) % 83.55/83.78 assert (zenon_L206_ : (((op1 (e13) (e12)) = (op1 (e12) (e13)))/\((~((op1 (e10) (op1 (e12) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e13))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2c2 zenon_H61 zenon_H3f zenon_H45 zenon_H56 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H1c2 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1b0 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2bc. zenon_intro zenon_H2c3. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.78 apply (zenon_L20_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.78 apply (zenon_L22_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.55/83.78 apply (zenon_L138_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.55/83.78 apply (zenon_L114_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.55/83.78 apply (zenon_L205_); trivial. % 83.55/83.78 apply (zenon_L19_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 (* end of lemma zenon_L206_ *) % 83.55/83.78 assert (zenon_L207_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (op1 (e13) (e10))) -> ((op1 (e13) (e12)) = (e10)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H252 zenon_H42 zenon_H2c4 zenon_H19c. % 83.55/83.78 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H252. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H42. % 83.55/83.78 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 83.55/83.78 cut (((op1 (e10) (e13)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H254]. % 83.55/83.78 congruence. % 83.55/83.78 exact (zenon_H254 zenon_H2c4). % 83.55/83.78 apply zenon_H19d. apply sym_equal. exact zenon_H19c. % 83.55/83.78 (* end of lemma zenon_L207_ *) % 83.55/83.78 assert (zenon_L208_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e10) (e13)) = (op1 (e13) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H56 zenon_H19c zenon_H2c4 zenon_H252 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.55/83.78 apply (zenon_L207_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.55/83.78 apply (zenon_L15_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.55/83.78 apply (zenon_L17_); trivial. % 83.55/83.78 apply (zenon_L19_); trivial. % 83.55/83.78 (* end of lemma zenon_L208_ *) % 83.55/83.78 assert (zenon_L209_ : (((op1 (e10) (e13)) = (op1 (e13) (e10)))/\((~((op1 (e10) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e10))) = (e13))))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (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 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2c5 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H56 zenon_H252 zenon_H45 zenon_H50 zenon_H1c2 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1b0 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c4. zenon_intro zenon_H2c6. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.55/83.78 apply (zenon_L138_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.55/83.78 apply (zenon_L114_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.55/83.78 apply (zenon_L208_); trivial. % 83.55/83.78 apply (zenon_L19_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 (* end of lemma zenon_L209_ *) % 83.55/83.78 assert (zenon_L210_ : ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1eb zenon_H2c7 zenon_H184 zenon_H282. % 83.55/83.78 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H282. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H237. % 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28a]. % 83.55/83.78 congruence. % 83.55/83.78 cut (((op1 (e11) (e13)) = (e11)) = ((op1 (e13) (e11)) = (op1 (e12) (e11)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H28a. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1eb. % 83.55/83.78 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28b]. % 83.55/83.78 cut (((op1 (e11) (e13)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 83.55/83.78 congruence. % 83.55/83.78 exact (zenon_H28c zenon_H2c7). % 83.55/83.78 apply zenon_H28b. apply sym_equal. exact zenon_H184. % 83.55/83.78 apply zenon_H238. apply refl_equal. % 83.55/83.78 apply zenon_H238. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L210_ *) % 83.55/83.78 assert (zenon_L211_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1c9 zenon_H2c zenon_H14 zenon_H1e zenon_H163 zenon_H177 zenon_H282 zenon_H2c7 zenon_H1eb zenon_H1bf zenon_H195. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.55/83.78 apply (zenon_L9_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.55/83.78 apply (zenon_L180_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.55/83.78 apply (zenon_L210_); trivial. % 83.55/83.78 apply (zenon_L113_); trivial. % 83.55/83.78 (* end of lemma zenon_L211_ *) % 83.55/83.78 assert (zenon_L212_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1f4 zenon_H161 zenon_H1a0 zenon_H1c9 zenon_H2c zenon_H14 zenon_H1e zenon_H163 zenon_H177 zenon_H282 zenon_H2c7 zenon_H1bf zenon_H195. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.78 apply (zenon_L90_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.78 apply (zenon_L180_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.78 apply (zenon_L105_); trivial. % 83.55/83.78 apply (zenon_L211_); trivial. % 83.55/83.78 (* end of lemma zenon_L212_ *) % 83.55/83.78 assert (zenon_L213_ : (~((op1 (e12) (op1 (e13) (e11))) = (op1 (e12) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2c8 zenon_H198. % 83.55/83.78 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H2b. apply refl_equal. % 83.55/83.78 exact (zenon_H199 zenon_H198). % 83.55/83.78 (* end of lemma zenon_L213_ *) % 83.55/83.78 assert (zenon_L214_ : (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e11)) = (e12)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2c9 zenon_H1a7 zenon_H198. % 83.55/83.78 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (op1 (e13) (e11))) = (e12))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2c9. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1a7. % 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.78 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ca]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e12) (op1 (e13) (e11))) = (op1 (e12) (op1 (e13) (e11))))); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2cc ]. % 83.55/83.78 cut (((op1 (e12) (op1 (e13) (e11))) = (op1 (e12) (op1 (e13) (e11)))) = ((op1 (e12) (e12)) = (op1 (e12) (op1 (e13) (e11))))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2ca. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H2cb. % 83.55/83.78 cut (((op1 (e12) (op1 (e13) (e11))) = (op1 (e12) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2cc]. % 83.55/83.78 cut (((op1 (e12) (op1 (e13) (e11))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 83.55/83.78 congruence. % 83.55/83.78 apply (zenon_L213_); trivial. % 83.55/83.78 apply zenon_H2cc. apply refl_equal. % 83.55/83.78 apply zenon_H2cc. apply refl_equal. % 83.55/83.78 apply zenon_H2b. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L214_ *) % 83.55/83.78 assert (zenon_L215_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H198 zenon_H2c9 zenon_H1e4 zenon_H1e5. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.55/83.78 apply (zenon_L101_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.55/83.78 apply (zenon_L98_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.55/83.78 apply (zenon_L214_); trivial. % 83.55/83.78 apply (zenon_L122_); trivial. % 83.55/83.78 (* end of lemma zenon_L215_ *) % 83.55/83.78 assert (zenon_L216_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1b9 zenon_H16 zenon_H2e zenon_H17e zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H2c9 zenon_H1e4 zenon_H1e5. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ]. % 83.55/83.78 apply (zenon_L95_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ]. % 83.55/83.78 apply (zenon_L97_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ]. % 83.55/83.78 apply (zenon_L98_); trivial. % 83.55/83.78 apply (zenon_L215_); trivial. % 83.55/83.78 (* end of lemma zenon_L216_ *) % 83.55/83.78 assert (zenon_L217_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1f4 zenon_H1ee zenon_H1aa zenon_H1a0 zenon_H1c9 zenon_H2c zenon_H14 zenon_H1e zenon_H163 zenon_H177 zenon_H282 zenon_H2c7 zenon_H1bf zenon_H195. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.78 apply (zenon_L177_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.78 apply (zenon_L180_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.78 apply (zenon_L105_); trivial. % 83.55/83.78 apply (zenon_L211_); trivial. % 83.55/83.78 (* end of lemma zenon_L217_ *) % 83.55/83.78 assert (zenon_L218_ : (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e11)) = (e10)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2cd zenon_H1ff zenon_H181. % 83.55/83.78 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2cd. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1ff. % 83.55/83.78 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H261]. % 83.55/83.78 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H190. apply refl_equal. % 83.55/83.78 apply zenon_H261. apply sym_equal. exact zenon_H181. % 83.55/83.78 (* end of lemma zenon_L218_ *) % 83.55/83.78 assert (zenon_L219_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H173 zenon_H1ee zenon_H195 zenon_H1ff zenon_H200 zenon_H1c8 zenon_H42 zenon_H1bf zenon_H2c7 zenon_H282 zenon_H163 zenon_H2c zenon_H1c9 zenon_H1a0 zenon_H1f4 zenon_H2cd zenon_H1c2 zenon_H16 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.78 apply (zenon_L12_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.78 apply (zenon_L217_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.78 apply (zenon_L218_); trivial. % 83.55/83.78 apply (zenon_L114_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.78 apply (zenon_L131_); trivial. % 83.55/83.78 apply (zenon_L128_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 (* end of lemma zenon_L219_ *) % 83.55/83.78 assert (zenon_L220_ : (((op1 (e11) (e13)) = (op1 (e13) (e11)))/\((~((op1 (e10) (op1 (e13) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e11))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2ce zenon_H61 zenon_H220 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H16d zenon_H1ba zenon_H1e4 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1b9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H56 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f3 zenon_H1f5 zenon_H1c2 zenon_H2cd zenon_H1f4 zenon_H1a0 zenon_H1c9 zenon_H282 zenon_H1c8 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2c7. zenon_intro zenon_H2cf. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d3. zenon_intro zenon_H2d2. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H2c9. zenon_intro zenon_H2d4. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.78 apply (zenon_L20_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.78 apply (zenon_L22_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.78 apply (zenon_L7_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.78 apply (zenon_L90_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.78 apply (zenon_L93_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.78 apply (zenon_L12_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.78 apply (zenon_L212_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.78 apply (zenon_L90_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.78 apply (zenon_L112_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.78 apply (zenon_L105_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.55/83.78 apply (zenon_L9_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.55/83.78 apply (zenon_L112_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.55/83.78 apply (zenon_L210_); trivial. % 83.55/83.78 apply (zenon_L132_); trivial. % 83.55/83.78 apply (zenon_L114_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.78 apply (zenon_L20_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.78 apply (zenon_L212_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.78 apply (zenon_L90_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.55/83.78 apply (zenon_L116_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.55/83.78 apply (zenon_L97_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.55/83.78 apply (zenon_L119_); trivial. % 83.55/83.78 apply (zenon_L216_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.78 apply (zenon_L105_); trivial. % 83.55/83.78 apply (zenon_L127_); trivial. % 83.55/83.78 apply (zenon_L114_); trivial. % 83.55/83.78 apply (zenon_L128_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ]. % 83.55/83.78 apply (zenon_L219_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ]. % 83.55/83.78 apply (zenon_L132_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ]. % 83.55/83.78 apply (zenon_L133_); trivial. % 83.55/83.78 apply (zenon_L134_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 apply (zenon_L138_); trivial. % 83.55/83.78 (* end of lemma zenon_L220_ *) % 83.55/83.78 assert (zenon_L221_ : ((op1 (e13) (e12)) = (e10)) -> ((op1 (e12) (e13)) = (op1 (e13) (e12))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H19c zenon_H2d5 zenon_H42 zenon_H50. % 83.55/83.78 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H50. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H2bd. % 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bf]. % 83.55/83.78 congruence. % 83.55/83.78 cut (((op1 (e13) (e12)) = (e10)) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2bf. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H19c. % 83.55/83.78 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c0]. % 83.55/83.78 cut (((op1 (e13) (e12)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c1]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e13) (e12)) = (op1 (e12) (e13)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2c1. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H2bd. % 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2d6]. % 83.55/83.78 congruence. % 83.55/83.78 exact (zenon_H2d6 zenon_H2d5). % 83.55/83.78 apply zenon_H2be. apply refl_equal. % 83.55/83.78 apply zenon_H2be. apply refl_equal. % 83.55/83.78 apply zenon_H2c0. apply sym_equal. exact zenon_H42. % 83.55/83.78 apply zenon_H2be. apply refl_equal. % 83.55/83.78 apply zenon_H2be. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L221_ *) % 83.55/83.78 assert (zenon_L222_ : (((op1 (e12) (e13)) = (op1 (e13) (e12)))/\((~((op1 (e10) (op1 (e13) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e12))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2d7 zenon_H61 zenon_H3f zenon_H45 zenon_H56 zenon_H173 zenon_H16 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H1c2 zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H20a zenon_H16b zenon_H1b0 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2d5. zenon_intro zenon_H2d8. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.78 apply (zenon_L20_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.78 apply (zenon_L22_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.55/83.78 apply (zenon_L137_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.55/83.78 apply (zenon_L114_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.55/83.78 apply (zenon_L221_); trivial. % 83.55/83.78 apply (zenon_L19_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 (* end of lemma zenon_L222_ *) % 83.55/83.78 assert (zenon_L223_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2d9 zenon_H198 zenon_H2da. % 83.55/83.78 cut (((op1 (e13) (e11)) = (e12)) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2d9. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H198. % 83.55/83.78 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2db]. % 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H238. apply refl_equal. % 83.55/83.78 apply zenon_H2db. apply sym_equal. exact zenon_H2da. % 83.55/83.78 (* end of lemma zenon_L223_ *) % 83.55/83.78 assert (zenon_L224_ : (~((op1 (e10) (op1 (e13) (e13))) = (op1 (e10) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2dc zenon_H2dd. % 83.55/83.78 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2de]. % 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H12. apply refl_equal. % 83.55/83.78 exact (zenon_H2de zenon_H2dd). % 83.55/83.78 (* end of lemma zenon_L224_ *) % 83.55/83.78 assert (zenon_L225_ : (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2df zenon_H42 zenon_H2dd. % 83.55/83.78 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (op1 (e13) (e13))) = (e10))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2df. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H42. % 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.78 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2e0]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e10) (op1 (e13) (e13))) = (op1 (e10) (op1 (e13) (e13))))); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H2e2 ]. % 83.55/83.78 cut (((op1 (e10) (op1 (e13) (e13))) = (op1 (e10) (op1 (e13) (e13)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e13) (e13))))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2e0. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H2e1. % 83.55/83.78 cut (((op1 (e10) (op1 (e13) (e13))) = (op1 (e10) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2e2]. % 83.55/83.78 cut (((op1 (e10) (op1 (e13) (e13))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2dc]. % 83.55/83.78 congruence. % 83.55/83.78 apply (zenon_L224_); trivial. % 83.55/83.78 apply zenon_H2e2. apply refl_equal. % 83.55/83.78 apply zenon_H2e2. apply refl_equal. % 83.55/83.78 apply zenon_H12. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L225_ *) % 83.55/83.78 assert (zenon_L226_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2e3 zenon_H53 zenon_H169 zenon_H16b zenon_H20a zenon_H198 zenon_H2d9 zenon_H2df zenon_H42. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e4 ]. % 83.55/83.78 apply (zenon_L18_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H20b | zenon_intro zenon_H2e5 ]. % 83.55/83.78 apply (zenon_L134_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2da | zenon_intro zenon_H2dd ]. % 83.55/83.78 apply (zenon_L223_); trivial. % 83.55/83.78 apply (zenon_L225_); trivial. % 83.55/83.78 (* end of lemma zenon_L226_ *) % 83.55/83.78 assert (zenon_L227_ : (((op1 (e13) (e13)) = (op1 (e13) (e13)))/\((~((op1 (e10) (op1 (e13) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2e6 zenon_H61 zenon_H3f zenon_H2c zenon_H49 zenon_H3a zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H173 zenon_H16 zenon_H236 zenon_H2e3 zenon_H53 zenon_H16b zenon_H20a zenon_H2d9 zenon_H1bf zenon_H1c2 zenon_H2e7 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2df. zenon_intro zenon_H2ea. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.78 apply (zenon_L11_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.78 apply (zenon_L20_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.78 apply (zenon_L22_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.78 apply (zenon_L3_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.55/83.78 apply (zenon_L114_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.55/83.78 apply (zenon_L132_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.55/83.78 apply (zenon_L226_); trivial. % 83.55/83.78 apply (zenon_L149_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.78 apply (zenon_L4_); trivial. % 83.55/83.78 apply (zenon_L5_); trivial. % 83.55/83.78 (* end of lemma zenon_L227_ *) % 83.55/83.78 assert (zenon_L228_ : (~((op1 (e11) (e10)) = (op1 (op1 (e10) (e12)) (e10)))) -> ((op1 (e10) (e12)) = (e11)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2ed zenon_H244. % 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.78 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2ee]. % 83.55/83.78 congruence. % 83.55/83.78 apply zenon_H2ee. apply sym_equal. exact zenon_H244. % 83.55/83.78 apply zenon_H12. apply refl_equal. % 83.55/83.78 (* end of lemma zenon_L228_ *) % 83.55/83.78 assert (zenon_L229_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (op1 (e10) (e12)) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e11)) = (e12)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H176 zenon_H2ef zenon_H244 zenon_H17f. % 83.55/83.78 cut (((op1 (op1 (e10) (e12)) (e10)) = (e12)) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H176. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H2ef. % 83.55/83.78 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2f0]. % 83.55/83.78 cut (((op1 (op1 (e10) (e12)) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f1]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H179 ]. % 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (op1 (e10) (e12)) (e10)) = (op1 (e11) (e10)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2f1. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1d0. % 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (op1 (e10) (e12)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2ed]. % 83.55/83.78 congruence. % 83.55/83.78 apply (zenon_L228_); trivial. % 83.55/83.78 apply zenon_H179. apply refl_equal. % 83.55/83.78 apply zenon_H179. apply refl_equal. % 83.55/83.78 apply zenon_H2f0. apply sym_equal. exact zenon_H17f. % 83.55/83.78 (* end of lemma zenon_L229_ *) % 83.55/83.78 assert (zenon_L230_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (op1 (e10) (e12)) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> False). % 83.55/83.78 do 0 intro. intros zenon_H1a9 zenon_H2ef zenon_H244 zenon_H1a6. % 83.55/83.78 cut (((op1 (op1 (e10) (e12)) (e10)) = (e12)) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H1a9. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H2ef. % 83.55/83.78 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 83.55/83.78 cut (((op1 (op1 (e10) (e12)) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f1]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H179 ]. % 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (op1 (e10) (e12)) (e10)) = (op1 (e11) (e10)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2f1. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1d0. % 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (op1 (e10) (e12)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2ed]. % 83.55/83.78 congruence. % 83.55/83.78 apply (zenon_L228_); trivial. % 83.55/83.78 apply zenon_H179. apply refl_equal. % 83.55/83.78 apply zenon_H179. apply refl_equal. % 83.55/83.78 apply zenon_H274. apply sym_equal. exact zenon_H1a6. % 83.55/83.78 (* end of lemma zenon_L230_ *) % 83.55/83.78 assert (zenon_L231_ : ((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(((op1 (op1 (e10) (e12)) (e10)) = (e12))/\(~((op1 (op1 (e10) (e12)) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False). % 83.55/83.78 do 0 intro. intros zenon_H2f2 zenon_H249 zenon_H2e zenon_H1e zenon_H2f3 zenon_H1a9 zenon_H176 zenon_H1cf zenon_H1e8 zenon_H14 zenon_H2c zenon_H3a. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 83.55/83.78 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2ef. zenon_intro zenon_H2f6. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.55/83.78 apply (zenon_L7_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.55/83.78 apply (zenon_L9_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.55/83.78 apply (zenon_L116_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.55/83.78 apply (zenon_L229_); trivial. % 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.55/83.78 apply (zenon_L230_); trivial. % 83.55/83.78 cut (((op1 (op1 (e10) (e12)) (e10)) = (e12)) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2f3. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H2ef. % 83.55/83.78 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f7]. % 83.55/83.78 cut (((op1 (op1 (e10) (e12)) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f1]. % 83.55/83.78 congruence. % 83.55/83.78 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H179 ]. % 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (op1 (e10) (e12)) (e10)) = (op1 (e11) (e10)))). % 83.55/83.78 intro zenon_D_pnotp. % 83.55/83.78 apply zenon_H2f1. % 83.55/83.78 rewrite <- zenon_D_pnotp. % 83.55/83.78 exact zenon_H1d0. % 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (op1 (e10) (e12)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2ed]. % 83.55/83.78 congruence. % 83.55/83.78 apply (zenon_L228_); trivial. % 83.55/83.78 apply zenon_H179. apply refl_equal. % 83.55/83.78 apply zenon_H179. apply refl_equal. % 83.55/83.78 apply zenon_H2f7. apply sym_equal. exact zenon_H1e5. % 83.55/83.78 apply (zenon_L10_); trivial. % 83.55/83.78 (* end of lemma zenon_L231_ *) % 83.55/83.79 assert (zenon_L232_ : (~((op1 (e10) (e10)) = (op1 (op1 (e10) (e13)) (e10)))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H2f8 zenon_H42. % 83.55/83.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.79 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c0]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H2c0. apply sym_equal. exact zenon_H42. % 83.55/83.79 apply zenon_H12. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L232_ *) % 83.55/83.79 assert (zenon_L233_ : (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (op1 (e10) (e13)) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H1cf zenon_H2f9 zenon_H42 zenon_H1aa. % 83.55/83.79 cut (((op1 (op1 (e10) (e13)) (e10)) = (e13)) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H1cf. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H2f9. % 83.55/83.79 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fa]. % 83.55/83.79 cut (((op1 (op1 (e10) (e13)) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fb]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ]. % 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e10) (e13)) (e10)) = (op1 (e10) (e10)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H2fb. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H1a. % 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (op1 (e10) (e13)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f8]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L232_); trivial. % 83.55/83.79 apply zenon_H1b. apply refl_equal. % 83.55/83.79 apply zenon_H1b. apply refl_equal. % 83.55/83.79 apply zenon_H2fa. apply sym_equal. exact zenon_H1aa. % 83.55/83.79 (* end of lemma zenon_L233_ *) % 83.55/83.79 assert (zenon_L234_ : ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e13)) -> (~((e11) = (e13))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H16c zenon_H1d9 zenon_H1ee. % 83.55/83.79 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ]. % 83.55/83.79 cut (((e13) = (e13)) = ((e11) = (e13))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H1ee. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H1ef. % 83.55/83.79 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.55/83.79 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (e12) (e10)) = (e11)) = ((e13) = (e11))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H1f1. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H16c. % 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.79 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 83.55/83.79 congruence. % 83.55/83.79 exact (zenon_H202 zenon_H1d9). % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 apply zenon_H1f0. apply refl_equal. % 83.55/83.79 apply zenon_H1f0. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L234_ *) % 83.55/83.79 assert (zenon_L235_ : (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (op1 (e10) (e13)) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H2fc zenon_H2f9 zenon_H42 zenon_H1ed. % 83.55/83.79 cut (((op1 (op1 (e10) (e13)) (e10)) = (e13)) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H2fc. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H2f9. % 83.55/83.79 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fd]. % 83.55/83.79 cut (((op1 (op1 (e10) (e13)) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fb]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ]. % 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e10) (e13)) (e10)) = (op1 (e10) (e10)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H2fb. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H1a. % 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (op1 (e10) (e13)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f8]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L232_); trivial. % 83.55/83.79 apply zenon_H1b. apply refl_equal. % 83.55/83.79 apply zenon_H1b. apply refl_equal. % 83.55/83.79 apply zenon_H2fd. apply sym_equal. exact zenon_H1ed. % 83.55/83.79 (* end of lemma zenon_L235_ *) % 83.55/83.79 assert (zenon_L236_ : (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (op1 (e10) (e13)) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H18e zenon_H2f9 zenon_H42 zenon_H1d9. % 83.55/83.79 cut (((op1 (op1 (e10) (e13)) (e10)) = (e13)) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H18e. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H2f9. % 83.55/83.79 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 83.55/83.79 cut (((op1 (op1 (e10) (e13)) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fb]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ]. % 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e10) (e13)) (e10)) = (op1 (e10) (e10)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H2fb. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H1a. % 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (op1 (e10) (e13)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f8]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L232_); trivial. % 83.55/83.79 apply zenon_H1b. apply refl_equal. % 83.55/83.79 apply zenon_H1b. apply refl_equal. % 83.55/83.79 apply zenon_H2fe. apply sym_equal. exact zenon_H1d9. % 83.55/83.79 (* end of lemma zenon_L236_ *) % 83.55/83.79 assert (zenon_L237_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (op1 (e10) (e13)) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e11) = (e13))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H1f5 zenon_H14 zenon_H17 zenon_H16 zenon_H1cf zenon_H42 zenon_H2f9 zenon_H18e zenon_H195 zenon_H1ee. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.79 apply (zenon_L3_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.79 apply (zenon_L233_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.79 apply (zenon_L236_); trivial. % 83.55/83.79 apply (zenon_L128_); trivial. % 83.55/83.79 (* end of lemma zenon_L237_ *) % 83.55/83.79 assert (zenon_L238_ : ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> (~((e10) = (e13))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H194 zenon_H1ed zenon_H200. % 83.55/83.79 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ]. % 83.55/83.79 cut (((e13) = (e13)) = ((e10) = (e13))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H200. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H1ef. % 83.55/83.79 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.55/83.79 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (e13) (e10)) = (e10)) = ((e13) = (e10))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H201. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H194. % 83.55/83.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.79 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 83.55/83.79 congruence. % 83.55/83.79 exact (zenon_H1f2 zenon_H1ed). % 83.55/83.79 apply zenon_H12. apply refl_equal. % 83.55/83.79 apply zenon_H1f0. apply refl_equal. % 83.55/83.79 apply zenon_H1f0. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L238_ *) % 83.55/83.79 assert (zenon_L239_ : ((~((op1 (e10) (op1 (e10) (e13))) = (e13)))/\(((op1 (op1 (e10) (e13)) (e10)) = (e13))/\(~((op1 (op1 (e10) (e13)) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e11))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H2ff zenon_H61 zenon_H25 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H2fc zenon_H1f3 zenon_H2e zenon_H2c zenon_H18e zenon_H200 zenon_H1ee zenon_H1cf zenon_H16 zenon_H17 zenon_H14 zenon_H1f5 zenon_H163. % 83.55/83.79 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H301. zenon_intro zenon_H300. % 83.55/83.79 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H2f9. zenon_intro zenon_H302. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.79 apply (zenon_L11_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.79 apply (zenon_L20_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.79 apply (zenon_L22_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.79 apply (zenon_L11_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.79 apply (zenon_L7_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.79 apply (zenon_L90_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.79 apply (zenon_L3_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.79 apply (zenon_L233_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.79 apply (zenon_L234_); trivial. % 83.55/83.79 apply (zenon_L235_); trivial. % 83.55/83.79 apply (zenon_L237_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.79 apply (zenon_L3_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.79 apply (zenon_L233_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.79 apply (zenon_L131_); trivial. % 83.55/83.79 apply (zenon_L235_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.79 apply (zenon_L7_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.79 apply (zenon_L3_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.79 apply (zenon_L177_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.79 apply (zenon_L236_); trivial. % 83.55/83.79 apply (zenon_L238_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.79 apply (zenon_L3_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.79 apply (zenon_L233_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.79 apply (zenon_L234_); trivial. % 83.55/83.79 apply (zenon_L238_); trivial. % 83.55/83.79 apply (zenon_L102_); trivial. % 83.55/83.79 (* end of lemma zenon_L239_ *) % 83.55/83.79 assert (zenon_L240_ : (~((op1 (e10) (e11)) = (op1 (op1 (e11) (e10)) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H303 zenon_H161. % 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.79 cut (((e10) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H304]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H304. apply sym_equal. exact zenon_H161. % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L240_ *) % 83.55/83.79 assert (zenon_L241_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (op1 (e11) (e10)) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e11)) = (e10)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H229 zenon_H305 zenon_H161 zenon_H177. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H229. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H305. % 83.55/83.79 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H306]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (op1 (e11) (e10)) (e11)) = (op1 (e10) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H306. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H36. % 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (op1 (e11) (e10)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H303]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L240_); trivial. % 83.55/83.79 apply zenon_H37. apply refl_equal. % 83.55/83.79 apply zenon_H37. apply refl_equal. % 83.55/83.79 apply zenon_H178. apply sym_equal. exact zenon_H177. % 83.55/83.79 (* end of lemma zenon_L241_ *) % 83.55/83.79 assert (zenon_L242_ : (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (op1 (e11) (e10)) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H236 zenon_H305 zenon_H161 zenon_H197. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H236. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H305. % 83.55/83.79 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H307]. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H306]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (op1 (e11) (e10)) (e11)) = (op1 (e10) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H306. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H36. % 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (op1 (e11) (e10)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H303]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L240_); trivial. % 83.55/83.79 apply zenon_H37. apply refl_equal. % 83.55/83.79 apply zenon_H37. apply refl_equal. % 83.55/83.79 apply zenon_H307. apply sym_equal. exact zenon_H197. % 83.55/83.79 (* end of lemma zenon_L242_ *) % 83.55/83.79 assert (zenon_L243_ : (~((op1 (e11) (op1 (e11) (e10))) = (e10))) -> ((op1 (op1 (e11) (e10)) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H308 zenon_H305 zenon_H162. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (e10)) = ((op1 (e11) (op1 (e11) (e10))) = (e10))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H308. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H305. % 83.55/83.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H309]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (op1 (e11) (e10))))); [ zenon_intro zenon_H30a | zenon_intro zenon_H30b ]. % 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (op1 (e11) (e10)))) = ((op1 (op1 (e11) (e10)) (e11)) = (op1 (e11) (op1 (e11) (e10))))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H309. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H30a. % 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H30b]. % 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (op1 (e11) (e10)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H30c]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 83.55/83.79 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30d]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H30d. apply sym_equal. exact zenon_H162. % 83.55/83.79 exact (zenon_H167 zenon_H162). % 83.55/83.79 apply zenon_H30b. apply refl_equal. % 83.55/83.79 apply zenon_H30b. apply refl_equal. % 83.55/83.79 apply zenon_H12. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L243_ *) % 83.55/83.79 assert (zenon_L244_ : (~((op1 (op1 (e11) (e10)) (e10)) = (e11))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e11) (e10)) = (e13)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H30e zenon_H195 zenon_H1aa. % 83.55/83.79 cut (((op1 (e13) (e10)) = (e11)) = ((op1 (op1 (e11) (e10)) (e10)) = (e11))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H30e. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H195. % 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.79 cut (((op1 (e13) (e10)) = (op1 (op1 (e11) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30f]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (op1 (e11) (e10)) (e10)) = (op1 (op1 (e11) (e10)) (e10)))); [ zenon_intro zenon_H310 | zenon_intro zenon_H311 ]. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e10)) = (op1 (op1 (e11) (e10)) (e10))) = ((op1 (e13) (e10)) = (op1 (op1 (e11) (e10)) (e10)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H30f. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H310. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e10)) = (op1 (op1 (e11) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H311]. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H312]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.79 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 83.55/83.79 congruence. % 83.55/83.79 exact (zenon_H216 zenon_H1aa). % 83.55/83.79 apply zenon_H12. apply refl_equal. % 83.55/83.79 apply zenon_H311. apply refl_equal. % 83.55/83.79 apply zenon_H311. apply refl_equal. % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L244_ *) % 83.55/83.79 assert (zenon_L245_ : (~((op1 (e13) (e11)) = (op1 (op1 (e11) (e10)) (e11)))) -> ((op1 (e11) (e10)) = (e13)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H313 zenon_H1aa. % 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.79 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fa]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H2fa. apply sym_equal. exact zenon_H1aa. % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L245_ *) % 83.55/83.79 assert (zenon_L246_ : ((op1 (op1 (e11) (e10)) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H305 zenon_H1aa zenon_H181 zenon_H282. % 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H282. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H237. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28a]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (e10)) = ((op1 (e13) (e11)) = (op1 (e12) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H28a. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H305. % 83.55/83.79 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H261]. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H314]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (op1 (e11) (e10)) (e11)) = (op1 (e13) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H314. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H237. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (op1 (e11) (e10)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H313]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L245_); trivial. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H261. apply sym_equal. exact zenon_H181. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L246_ *) % 83.55/83.79 assert (zenon_L247_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H1bf zenon_H194 zenon_H197. % 83.55/83.79 cut (((op1 (e13) (e10)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H1bf. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H194. % 83.55/83.79 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H307]. % 83.55/83.79 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H16f. apply refl_equal. % 83.55/83.79 apply zenon_H307. apply sym_equal. exact zenon_H197. % 83.55/83.79 (* end of lemma zenon_L247_ *) % 83.55/83.79 assert (zenon_L248_ : ((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\(((op1 (op1 (e11) (e10)) (e11)) = (e10))/\(~((op1 (op1 (e11) (e10)) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> ((e12) = (op1 (e10) (e10))) -> (~((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) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e11))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H315 zenon_H61 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H236 zenon_H230 zenon_H229 zenon_H1f3 zenon_H2e zenon_H2c zenon_H200 zenon_H1ee zenon_H1c8 zenon_H25 zenon_H316 zenon_H282 zenon_H1bf zenon_H16 zenon_H17 zenon_H14 zenon_H1f5 zenon_H163. % 83.55/83.79 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H308. zenon_intro zenon_H317. % 83.55/83.79 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H305. zenon_intro zenon_H30e. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.79 apply (zenon_L11_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.79 apply (zenon_L20_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.79 apply (zenon_L22_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.79 apply (zenon_L11_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.79 apply (zenon_L12_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.79 apply (zenon_L241_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H230. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H305. % 83.55/83.79 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H261]. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H306]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (op1 (e11) (e10)) (e11)) = (op1 (e10) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H306. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H36. % 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (op1 (e11) (e10)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H303]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L240_); trivial. % 83.55/83.79 apply zenon_H37. apply refl_equal. % 83.55/83.79 apply zenon_H37. apply refl_equal. % 83.55/83.79 apply zenon_H261. apply sym_equal. exact zenon_H181. % 83.55/83.79 apply (zenon_L242_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.79 apply (zenon_L7_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.79 apply (zenon_L243_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.79 apply (zenon_L179_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.79 apply (zenon_L3_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.79 apply (zenon_L244_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.79 apply (zenon_L131_); trivial. % 83.55/83.79 apply (zenon_L128_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.79 apply (zenon_L7_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.79 apply (zenon_L243_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.79 apply (zenon_L3_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.79 apply (zenon_L12_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H316. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H237. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H318]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (e10)) = ((op1 (e13) (e11)) = (op1 (e11) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H318. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H305. % 83.55/83.79 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H314]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (op1 (e11) (e10)) (e11)) = (op1 (e13) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H314. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H237. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (op1 (e11) (e10)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H313]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L245_); trivial. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H178. apply sym_equal. exact zenon_H177. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.79 apply (zenon_L246_); trivial. % 83.55/83.79 apply (zenon_L247_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.79 apply (zenon_L234_); trivial. % 83.55/83.79 apply (zenon_L238_); trivial. % 83.55/83.79 apply (zenon_L102_); trivial. % 83.55/83.79 (* end of lemma zenon_L248_ *) % 83.55/83.79 assert (zenon_L249_ : ((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\(((op1 (op1 (e11) (e11)) (e11)) = (e11))/\(~((op1 (op1 (e11) (e11)) (e11)) = (e11))))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H319. % 83.55/83.79 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H266. zenon_intro zenon_H31a. % 83.55/83.79 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31c. zenon_intro zenon_H31b. % 83.55/83.79 exact (zenon_H31b zenon_H31c). % 83.55/83.79 (* end of lemma zenon_L249_ *) % 83.55/83.79 assert (zenon_L250_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H2c zenon_H31d zenon_H31e. % 83.55/83.79 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ]. % 83.55/83.79 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H31e. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H1f. % 83.55/83.79 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 83.55/83.79 cut (((op1 (e10) (e12)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H31f]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((e12) = (op1 (e10) (e10))) = ((op1 (e10) (e12)) = (op1 (e10) (e10)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H31f. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H2c. % 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 83.55/83.79 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H320]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ]. % 83.55/83.79 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e12) = (op1 (e10) (e12)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H320. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H1f. % 83.55/83.79 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 83.55/83.79 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H321]. % 83.55/83.79 congruence. % 83.55/83.79 exact (zenon_H321 zenon_H31d). % 83.55/83.79 apply zenon_H20. apply refl_equal. % 83.55/83.79 apply zenon_H20. apply refl_equal. % 83.55/83.79 apply zenon_H1b. apply refl_equal. % 83.55/83.79 apply zenon_H20. apply refl_equal. % 83.55/83.79 apply zenon_H20. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L250_ *) % 83.55/83.79 assert (zenon_L251_ : (~((op1 (e11) (op1 (e11) (e12))) = (e12))) -> ((op1 (e11) (e12)) = (e12)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H322 zenon_H1a6. % 83.55/83.79 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (op1 (e11) (e12))) = (e12))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H322. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H1a6. % 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.79 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H273]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [ zenon_intro zenon_H323 | zenon_intro zenon_H324 ]. % 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12)))) = ((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e12))))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H273. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H323. % 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H324]. % 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H325]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2a3]. % 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 exact (zenon_H2a3 zenon_H1a6). % 83.55/83.79 apply zenon_H324. apply refl_equal. % 83.55/83.79 apply zenon_H324. apply refl_equal. % 83.55/83.79 apply zenon_H2b. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L251_ *) % 83.55/83.79 assert (zenon_L252_ : ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (op1 (e11) (e12)) (e12)) = (e11))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H14 zenon_H2c zenon_H19b zenon_H326. % 83.55/83.79 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ]. % 83.55/83.79 cut (((e11) = (e11)) = ((op1 (op1 (e11) (e12)) (e12)) = (e11))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H326. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H164. % 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.79 cut (((e11) = (op1 (op1 (e11) (e12)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H327]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((e11) = (op1 (e10) (op1 (e10) (e10)))) = ((e11) = (op1 (op1 (e11) (e12)) (e12)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H327. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H14. % 83.55/83.79 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (op1 (e11) (e12)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H328]. % 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 83.55/83.79 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H329]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H329. apply sym_equal. exact zenon_H19b. % 83.55/83.79 apply zenon_H33. apply sym_equal. exact zenon_H2c. % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L252_ *) % 83.55/83.79 assert (zenon_L253_ : (~((op1 (e13) (e11)) = (op1 (op1 (e11) (e12)) (e11)))) -> ((op1 (e11) (e12)) = (e13)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H32a zenon_H1ab. % 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.79 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ac]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H1ac. apply sym_equal. exact zenon_H1ab. % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L253_ *) % 83.55/83.79 assert (zenon_L254_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e11) (e12)) (e11)) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e12)) = (e12)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H32b zenon_H32c zenon_H1ab zenon_H32d. % 83.55/83.79 cut (((op1 (op1 (e11) (e12)) (e11)) = (e12)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H32b. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H32c. % 83.55/83.79 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32e]. % 83.55/83.79 cut (((op1 (op1 (e11) (e12)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H32f]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (op1 (e11) (e12)) (e11)) = (op1 (e13) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H32f. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H237. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (op1 (e11) (e12)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H32a]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L253_); trivial. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H32e. apply sym_equal. exact zenon_H32d. % 83.55/83.79 (* end of lemma zenon_L254_ *) % 83.55/83.79 assert (zenon_L255_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (op1 (e11) (e12)) (e12)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (op1 (e11) (e12))) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e11) (e12)) (e11)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H1ad zenon_H326 zenon_H1a0 zenon_H2c zenon_H14 zenon_H322 zenon_H32b zenon_H32c zenon_H32d. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ]. % 83.55/83.79 apply (zenon_L252_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ]. % 83.55/83.79 apply (zenon_L105_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ]. % 83.55/83.79 apply (zenon_L251_); trivial. % 83.55/83.79 apply (zenon_L254_); trivial. % 83.55/83.79 (* end of lemma zenon_L255_ *) % 83.55/83.79 assert (zenon_L256_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (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 (op1 (e11) (e12)) (e12)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (op1 (e11) (e12))) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e11) (e12)) (e11)) = (e12)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H330 zenon_H31e zenon_H316 zenon_H17f zenon_H1a5 zenon_H1ad zenon_H326 zenon_H1a0 zenon_H2c zenon_H14 zenon_H322 zenon_H32b zenon_H32c. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H31d | zenon_intro zenon_H331 ]. % 83.55/83.79 apply (zenon_L250_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H332 ]. % 83.55/83.79 apply (zenon_L251_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H32d ]. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ]. % 83.55/83.79 apply (zenon_L252_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ]. % 83.55/83.79 apply (zenon_L105_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ]. % 83.55/83.79 apply (zenon_L106_); trivial. % 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H316. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H237. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H318]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (op1 (e11) (e12)) (e11)) = (e12)) = ((op1 (e13) (e11)) = (op1 (e11) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H318. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H32c. % 83.55/83.79 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2f0]. % 83.55/83.79 cut (((op1 (op1 (e11) (e12)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H32f]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (op1 (e11) (e12)) (e11)) = (op1 (e13) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H32f. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H237. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (op1 (e11) (e12)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H32a]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L253_); trivial. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H2f0. apply sym_equal. exact zenon_H17f. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply (zenon_L255_); trivial. % 83.55/83.79 (* end of lemma zenon_L256_ *) % 83.55/83.79 assert (zenon_L257_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (op1 (e11) (e12)) (e12)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (op1 (e11) (e12))) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H1ad zenon_H326 zenon_H1a0 zenon_H2c zenon_H14 zenon_H322 zenon_H1a9 zenon_H1aa. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ]. % 83.55/83.79 apply (zenon_L252_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ]. % 83.55/83.79 apply (zenon_L105_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ]. % 83.55/83.79 apply (zenon_L251_); trivial. % 83.55/83.79 apply (zenon_L107_); trivial. % 83.55/83.79 (* end of lemma zenon_L257_ *) % 83.55/83.79 assert (zenon_L258_ : ((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(((op1 (op1 (e11) (e12)) (e11)) = (e12))/\(~((op1 (op1 (e11) (e12)) (e12)) = (e11))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((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 (e11) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((e12) = (e13))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H333 zenon_H1e8 zenon_H1cf zenon_H32b zenon_H1a5 zenon_H316 zenon_H31e zenon_H330 zenon_H25d zenon_H1a9 zenon_H2c zenon_H1a0 zenon_H1ad zenon_H229 zenon_H14 zenon_H17 zenon_H25a. % 83.55/83.79 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H322. zenon_intro zenon_H334. % 83.55/83.79 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H32c. zenon_intro zenon_H326. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.55/83.79 apply (zenon_L116_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.55/83.79 apply (zenon_L256_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.55/83.79 apply (zenon_L251_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.55/83.79 apply (zenon_L257_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.55/83.79 apply (zenon_L147_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.55/83.79 cut (((op1 (e11) (e13)) = (e12)) = ((op1 (e11) (op1 (e11) (e12))) = (e12))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H322. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H1e5. % 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.79 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H335]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [ zenon_intro zenon_H323 | zenon_intro zenon_H324 ]. % 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12)))) = ((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e12))))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H335. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H323. % 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H324]. % 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H336]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 exact (zenon_H251 zenon_H1ab). % 83.55/83.79 apply zenon_H324. apply refl_equal. % 83.55/83.79 apply zenon_H324. apply refl_equal. % 83.55/83.79 apply zenon_H2b. apply refl_equal. % 83.55/83.79 apply (zenon_L162_); trivial. % 83.55/83.79 (* end of lemma zenon_L258_ *) % 83.55/83.79 assert (zenon_L259_ : (~((op1 (e12) (e11)) = (op1 (op1 (e11) (e13)) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H337 zenon_H1e5. % 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.79 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f7]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H2f7. apply sym_equal. exact zenon_H1e5. % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L259_ *) % 83.55/83.79 assert (zenon_L260_ : ((op1 (op1 (e11) (e13)) (e11)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H338 zenon_H1e5 zenon_H169 zenon_H230. % 83.55/83.79 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H231 | zenon_intro zenon_H1d7 ]. % 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H230. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H231. % 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d7]. % 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H232]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (op1 (e11) (e13)) (e11)) = (e13)) = ((op1 (e12) (e11)) = (op1 (e10) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H232. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H338. % 83.55/83.79 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 83.55/83.79 cut (((op1 (op1 (e11) (e13)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H339]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H231 | zenon_intro zenon_H1d7 ]. % 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (op1 (e11) (e13)) (e11)) = (op1 (e12) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H339. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H231. % 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d7]. % 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (op1 (e11) (e13)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H337]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L259_); trivial. % 83.55/83.79 apply zenon_H1d7. apply refl_equal. % 83.55/83.79 apply zenon_H1d7. apply refl_equal. % 83.55/83.79 apply zenon_H16a. apply sym_equal. exact zenon_H169. % 83.55/83.79 apply zenon_H1d7. apply refl_equal. % 83.55/83.79 apply zenon_H1d7. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L260_ *) % 83.55/83.79 assert (zenon_L261_ : ((op1 (op1 (e11) (e13)) (e11)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H338 zenon_H1eb zenon_H169 zenon_H229. % 83.55/83.79 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H22a | zenon_intro zenon_H22b ]. % 83.55/83.79 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H229. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H22a. % 83.55/83.79 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22b]. % 83.55/83.79 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22c]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (op1 (e11) (e13)) (e11)) = (e13)) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H22c. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H338. % 83.55/83.79 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 83.55/83.79 cut (((op1 (op1 (e11) (e13)) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H33a]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H22a | zenon_intro zenon_H22b ]. % 83.55/83.79 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (op1 (e11) (e13)) (e11)) = (op1 (e11) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H33a. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H22a. % 83.55/83.79 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22b]. % 83.55/83.79 cut (((op1 (e11) (e11)) = (op1 (op1 (e11) (e13)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H33b]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.79 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33c]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H33c. apply sym_equal. exact zenon_H1eb. % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 apply zenon_H22b. apply refl_equal. % 83.55/83.79 apply zenon_H22b. apply refl_equal. % 83.55/83.79 apply zenon_H16a. apply sym_equal. exact zenon_H169. % 83.55/83.79 apply zenon_H22b. apply refl_equal. % 83.55/83.79 apply zenon_H22b. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L261_ *) % 83.55/83.79 assert (zenon_L262_ : (~((op1 (e13) (e11)) = (op1 (op1 (e11) (e13)) (e11)))) -> ((op1 (e11) (e13)) = (e13)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H33d zenon_H259. % 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.55/83.79 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33e]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H33e. apply sym_equal. exact zenon_H259. % 83.55/83.79 apply zenon_H165. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L262_ *) % 83.55/83.79 assert (zenon_L263_ : ((op1 (op1 (e11) (e13)) (e11)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H338 zenon_H259 zenon_H169 zenon_H236. % 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H236. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H237. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H239]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (op1 (e11) (e13)) (e11)) = (e13)) = ((op1 (e13) (e11)) = (op1 (e10) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H239. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H338. % 83.55/83.79 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 83.55/83.79 cut (((op1 (op1 (e11) (e13)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H33f]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (op1 (e11) (e13)) (e11)) = (op1 (e13) (e11)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H33f. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H237. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (op1 (e11) (e13)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H33d]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L262_); trivial. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H16a. apply sym_equal. exact zenon_H169. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 apply zenon_H238. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L263_ *) % 83.55/83.79 assert (zenon_L264_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (op1 (e11) (e13)) (e11)) = (e13)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H340 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H229 zenon_H1b4 zenon_H1e4 zenon_H338 zenon_H169 zenon_H236. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H46 | zenon_intro zenon_H341 ]. % 83.55/83.79 apply (zenon_L15_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H1eb | zenon_intro zenon_H342 ]. % 83.55/83.79 apply (zenon_L261_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H259 ]. % 83.55/83.79 apply (zenon_L122_); trivial. % 83.55/83.79 apply (zenon_L263_); trivial. % 83.55/83.79 (* end of lemma zenon_L264_ *) % 83.55/83.79 assert (zenon_L265_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H343 zenon_H1e5 zenon_H2da. % 83.55/83.79 cut (((op1 (e11) (e13)) = (e12)) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H343. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H1e5. % 83.55/83.79 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2db]. % 83.55/83.79 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H1e7. apply refl_equal. % 83.55/83.79 apply zenon_H2db. apply sym_equal. exact zenon_H2da. % 83.55/83.79 (* end of lemma zenon_L265_ *) % 83.55/83.79 assert (zenon_L266_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e11) (e13)) (e11)) = (e13)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H340 zenon_H42 zenon_H45 zenon_H229 zenon_H2da zenon_H343 zenon_H338 zenon_H169 zenon_H236. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H46 | zenon_intro zenon_H341 ]. % 83.55/83.79 apply (zenon_L13_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H1eb | zenon_intro zenon_H342 ]. % 83.55/83.79 apply (zenon_L261_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H259 ]. % 83.55/83.79 apply (zenon_L265_); trivial. % 83.55/83.79 apply (zenon_L263_); trivial. % 83.55/83.79 (* end of lemma zenon_L266_ *) % 83.55/83.79 assert (zenon_L267_ : ((~((op1 (e11) (op1 (e11) (e13))) = (e13)))/\(((op1 (op1 (e11) (e13)) (e11)) = (e13))/\(~((op1 (op1 (e11) (e13)) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H344 zenon_H61 zenon_H3f zenon_H53 zenon_H50 zenon_H56 zenon_H173 zenon_H16 zenon_H236 zenon_H343 zenon_H229 zenon_H45 zenon_H340 zenon_H2c zenon_H49 zenon_H3a zenon_H4d zenon_H1e4 zenon_H230 zenon_H345 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.55/83.79 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H347. zenon_intro zenon_H346. % 83.55/83.79 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H338. zenon_intro zenon_H348. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.55/83.79 apply (zenon_L11_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.55/83.79 apply (zenon_L20_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.55/83.79 apply (zenon_L22_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.55/83.79 apply (zenon_L3_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H48 | zenon_intro zenon_H349 ]. % 83.55/83.79 apply (zenon_L14_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H34a ]. % 83.55/83.79 apply (zenon_L260_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2da ]. % 83.55/83.79 apply (zenon_L264_); trivial. % 83.55/83.79 apply (zenon_L266_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.55/83.79 apply (zenon_L4_); trivial. % 83.55/83.79 apply (zenon_L5_); trivial. % 83.55/83.79 (* end of lemma zenon_L267_ *) % 83.55/83.79 assert (zenon_L268_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H2c zenon_H1ff zenon_H34b. % 83.55/83.79 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ]. % 83.55/83.79 cut (((e12) = (e12)) = ((op1 (op1 (e12) (e10)) (e10)) = (e12))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H34b. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H2f. % 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.79 cut (((e12) = (op1 (op1 (e12) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H34c]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((e12) = (op1 (e10) (e10))) = ((e12) = (op1 (op1 (e12) (e10)) (e10)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H34c. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H2c. % 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (op1 (e12) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H34d]. % 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H2b. apply refl_equal. % 83.55/83.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.79 cut (((e10) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H34e]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H34e. apply sym_equal. exact zenon_H1ff. % 83.55/83.79 apply zenon_H12. apply refl_equal. % 83.55/83.79 apply zenon_H2b. apply refl_equal. % 83.55/83.79 apply zenon_H2b. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L268_ *) % 83.55/83.79 assert (zenon_L269_ : (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H34f zenon_H181 zenon_H16c. % 83.55/83.79 cut (((op1 (e12) (e11)) = (e10)) = ((op1 (e12) (op1 (e12) (e10))) = (e10))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H34f. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H181. % 83.55/83.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H350]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (op1 (e12) (e10))))); [ zenon_intro zenon_H351 | zenon_intro zenon_H352 ]. % 83.55/83.79 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (op1 (e12) (e10)))) = ((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e10))))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H350. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H351. % 83.55/83.79 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H352]. % 83.55/83.79 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H353]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (e12) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H26f]. % 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H2b. apply refl_equal. % 83.55/83.79 exact (zenon_H26f zenon_H16c). % 83.55/83.79 apply zenon_H352. apply refl_equal. % 83.55/83.79 apply zenon_H352. apply refl_equal. % 83.55/83.79 apply zenon_H12. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L269_ *) % 83.55/83.79 assert (zenon_L270_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e12)) = (e10)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H1a5 zenon_H354 zenon_H16c zenon_H1d5. % 83.55/83.79 cut (((op1 (op1 (e12) (e10)) (e12)) = (e10)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H1a5. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H354. % 83.55/83.79 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d6]. % 83.55/83.79 cut (((op1 (op1 (e12) (e10)) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H355]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ]. % 83.55/83.79 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (op1 (e12) (e10)) (e12)) = (op1 (e11) (e12)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H355. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H1a1. % 83.55/83.79 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 83.55/83.79 cut (((op1 (e11) (e12)) = (op1 (op1 (e12) (e10)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H356]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.79 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H171. apply sym_equal. exact zenon_H16c. % 83.55/83.79 apply zenon_H2b. apply refl_equal. % 83.55/83.79 apply zenon_H19e. apply refl_equal. % 83.55/83.79 apply zenon_H19e. apply refl_equal. % 83.55/83.79 apply zenon_H1d6. apply sym_equal. exact zenon_H1d5. % 83.55/83.79 (* end of lemma zenon_L270_ *) % 83.55/83.79 assert (zenon_L271_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H357 zenon_H34b zenon_H34f zenon_H16c zenon_H354 zenon_H1a5 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.55/83.79 apply (zenon_L268_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.55/83.79 apply (zenon_L269_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.55/83.79 apply (zenon_L270_); trivial. % 83.55/83.79 apply (zenon_L17_); trivial. % 83.55/83.79 (* end of lemma zenon_L271_ *) % 83.55/83.79 assert (zenon_L272_ : (~((op1 (e13) (e12)) = (op1 (op1 (e12) (e10)) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H35a zenon_H1d9. % 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.79 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 83.55/83.79 congruence. % 83.55/83.79 apply zenon_H2fe. apply sym_equal. exact zenon_H1d9. % 83.55/83.79 apply zenon_H2b. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L272_ *) % 83.55/83.79 assert (zenon_L273_ : ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H354 zenon_H1d9 zenon_H19b zenon_H19a. % 83.55/83.79 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H19a. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H205. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35b]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (op1 (e12) (e10)) (e12)) = (e10)) = ((op1 (e13) (e12)) = (op1 (e11) (e12)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H35b. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H354. % 83.55/83.79 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H329]. % 83.55/83.79 cut (((op1 (op1 (e12) (e10)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35c]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (op1 (e12) (e10)) (e12)) = (op1 (e13) (e12)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H35c. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H205. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (op1 (e12) (e10)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35a]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L272_); trivial. % 83.55/83.79 apply zenon_H206. apply refl_equal. % 83.55/83.79 apply zenon_H206. apply refl_equal. % 83.55/83.79 apply zenon_H329. apply sym_equal. exact zenon_H19b. % 83.55/83.79 apply zenon_H206. apply refl_equal. % 83.55/83.79 apply zenon_H206. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L273_ *) % 83.55/83.79 assert (zenon_L274_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H35d zenon_H2cd zenon_H181 zenon_H34f zenon_H18e zenon_H2c zenon_H354 zenon_H19b zenon_H19a. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ]. % 83.55/83.79 apply (zenon_L218_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ]. % 83.55/83.79 apply (zenon_L269_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ]. % 83.55/83.79 apply (zenon_L101_); trivial. % 83.55/83.79 apply (zenon_L273_); trivial. % 83.55/83.79 (* end of lemma zenon_L274_ *) % 83.55/83.79 assert (zenon_L275_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H357 zenon_H163 zenon_H34f zenon_H16c zenon_H354 zenon_H1a5 zenon_H50 zenon_H42. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.55/83.79 apply (zenon_L179_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.55/83.79 apply (zenon_L269_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.55/83.79 apply (zenon_L270_); trivial. % 83.55/83.79 apply (zenon_L16_); trivial. % 83.55/83.79 (* end of lemma zenon_L275_ *) % 83.55/83.79 assert (zenon_L276_ : ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H354 zenon_H1d9 zenon_H1d5 zenon_H360. % 83.55/83.79 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H360. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H205. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H361]. % 83.55/83.79 congruence. % 83.55/83.79 cut (((op1 (op1 (e12) (e10)) (e12)) = (e10)) = ((op1 (e13) (e12)) = (op1 (e12) (e12)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H361. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H354. % 83.55/83.79 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d6]. % 83.55/83.79 cut (((op1 (op1 (e12) (e10)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35c]. % 83.55/83.79 congruence. % 83.55/83.79 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (op1 (e12) (e10)) (e12)) = (op1 (e13) (e12)))). % 83.55/83.79 intro zenon_D_pnotp. % 83.55/83.79 apply zenon_H35c. % 83.55/83.79 rewrite <- zenon_D_pnotp. % 83.55/83.79 exact zenon_H205. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (op1 (e12) (e10)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35a]. % 83.55/83.79 congruence. % 83.55/83.79 apply (zenon_L272_); trivial. % 83.55/83.79 apply zenon_H206. apply refl_equal. % 83.55/83.79 apply zenon_H206. apply refl_equal. % 83.55/83.79 apply zenon_H1d6. apply sym_equal. exact zenon_H1d5. % 83.55/83.79 apply zenon_H206. apply refl_equal. % 83.55/83.79 apply zenon_H206. apply refl_equal. % 83.55/83.79 (* end of lemma zenon_L276_ *) % 83.55/83.79 assert (zenon_L277_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H357 zenon_H200 zenon_H1d8 zenon_H1a5 zenon_H1a6 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H360 zenon_H1d9 zenon_H354 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.55/83.79 apply (zenon_L131_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.55/83.79 apply (zenon_L119_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.55/83.79 apply (zenon_L276_); trivial. % 83.55/83.79 apply (zenon_L17_); trivial. % 83.55/83.79 (* end of lemma zenon_L277_ *) % 83.55/83.79 assert (zenon_L278_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H35d zenon_H34b zenon_H42 zenon_H34f zenon_H163 zenon_H18e zenon_H357 zenon_H200 zenon_H1d8 zenon_H1a5 zenon_H1a6 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H360 zenon_H354 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ]. % 83.55/83.79 apply (zenon_L268_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ]. % 83.55/83.79 apply (zenon_L275_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ]. % 83.55/83.79 apply (zenon_L101_); trivial. % 83.55/83.79 apply (zenon_L277_); trivial. % 83.55/83.79 (* end of lemma zenon_L278_ *) % 83.55/83.79 assert (zenon_L279_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H256 zenon_H2cd zenon_H181 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H354 zenon_H360 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H200 zenon_H357 zenon_H18e zenon_H163 zenon_H34f zenon_H42 zenon_H34b zenon_H35d zenon_H1a9 zenon_H1aa. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.55/83.79 apply (zenon_L21_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.55/83.79 apply (zenon_L274_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.55/83.79 apply (zenon_L117_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ]. % 83.55/83.79 apply (zenon_L104_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ]. % 83.55/83.79 apply (zenon_L105_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ]. % 83.55/83.79 apply (zenon_L278_); trivial. % 83.55/83.79 apply (zenon_L107_); trivial. % 83.55/83.79 (* end of lemma zenon_L279_ *) % 83.55/83.79 assert (zenon_L280_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H56 zenon_H1aa zenon_H1a9 zenon_H35d zenon_H34b zenon_H34f zenon_H163 zenon_H18e zenon_H357 zenon_H200 zenon_H1d8 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H360 zenon_H354 zenon_H1a0 zenon_H19a zenon_H1ad zenon_H181 zenon_H2cd zenon_H256 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.55/83.79 apply (zenon_L279_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.55/83.79 apply (zenon_L15_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.55/83.79 apply (zenon_L17_); trivial. % 83.55/83.79 apply (zenon_L19_); trivial. % 83.55/83.79 (* end of lemma zenon_L280_ *) % 83.55/83.79 assert (zenon_L281_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H35d zenon_H34b zenon_H1a5 zenon_H18e zenon_H2c zenon_H354 zenon_H1d5 zenon_H360. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ]. % 83.55/83.79 apply (zenon_L268_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ]. % 83.55/83.79 apply (zenon_L270_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ]. % 83.55/83.79 apply (zenon_L101_); trivial. % 83.55/83.79 apply (zenon_L276_); trivial. % 83.55/83.79 (* end of lemma zenon_L281_ *) % 83.55/83.79 assert (zenon_L282_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (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)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H53 zenon_H45 zenon_H256 zenon_H2cd zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1d8 zenon_H200 zenon_H357 zenon_H163 zenon_H34f zenon_H1a9 zenon_H1aa zenon_H56 zenon_H360 zenon_H354 zenon_H18e zenon_H1a5 zenon_H34b zenon_H35d zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.55/83.79 apply (zenon_L268_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.55/83.79 apply (zenon_L280_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.55/83.79 apply (zenon_L281_); trivial. % 83.55/83.79 apply (zenon_L17_); trivial. % 83.55/83.79 (* end of lemma zenon_L282_ *) % 83.55/83.79 assert (zenon_L283_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H357 zenon_H200 zenon_H163 zenon_H184 zenon_H360 zenon_H1d9 zenon_H354 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.55/83.79 apply (zenon_L131_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.55/83.79 apply (zenon_L99_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.55/83.79 apply (zenon_L276_); trivial. % 83.55/83.79 apply (zenon_L17_); trivial. % 83.55/83.79 (* end of lemma zenon_L283_ *) % 83.55/83.79 assert (zenon_L284_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H177 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H354 zenon_H1d9 zenon_H360 zenon_H163 zenon_H200 zenon_H357 zenon_H1bf zenon_H195. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.55/83.79 apply (zenon_L9_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.55/83.79 apply (zenon_L180_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.55/83.79 apply (zenon_L283_); trivial. % 83.55/83.79 apply (zenon_L113_); trivial. % 83.55/83.79 (* end of lemma zenon_L284_ *) % 83.55/83.79 assert (zenon_L285_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H2e zenon_H1eb zenon_H1dc zenon_H181 zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H354 zenon_H1d9 zenon_H360 zenon_H163 zenon_H200 zenon_H357 zenon_H1bf zenon_H195. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.55/83.79 apply (zenon_L9_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.55/83.79 apply (zenon_L126_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.55/83.79 apply (zenon_L283_); trivial. % 83.55/83.79 apply (zenon_L113_); trivial. % 83.55/83.79 (* end of lemma zenon_L285_ *) % 83.55/83.79 assert (zenon_L286_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 83.55/83.79 do 0 intro. intros zenon_H1f4 zenon_H161 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H1e zenon_H2e zenon_H1dc zenon_H181 zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H354 zenon_H1d9 zenon_H360 zenon_H163 zenon_H200 zenon_H357 zenon_H1bf zenon_H195. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.79 apply (zenon_L90_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.79 apply (zenon_L124_); trivial. % 83.55/83.79 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.79 apply (zenon_L105_); trivial. % 83.55/83.79 apply (zenon_L285_); trivial. % 83.55/83.79 (* end of lemma zenon_L286_ *) % 83.55/83.79 assert (zenon_L287_ : ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 83.55/83.79 do 0 intro. intros zenon_H354 zenon_H1d9 zenon_H197 zenon_H32b. % 83.55/83.79 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 83.55/83.80 intro zenon_D_pnotp. % 83.55/83.80 apply zenon_H32b. % 83.55/83.80 rewrite <- zenon_D_pnotp. % 83.55/83.80 exact zenon_H205. % 83.55/83.80 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.55/83.80 cut (((op1 (e13) (e12)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H362]. % 83.55/83.80 congruence. % 83.55/83.80 cut (((op1 (op1 (e12) (e10)) (e12)) = (e10)) = ((op1 (e13) (e12)) = (op1 (e13) (e11)))). % 83.55/83.80 intro zenon_D_pnotp. % 83.55/83.80 apply zenon_H362. % 83.55/83.80 rewrite <- zenon_D_pnotp. % 83.55/83.80 exact zenon_H354. % 83.55/83.80 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H307]. % 83.55/83.80 cut (((op1 (op1 (e12) (e10)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35c]. % 83.55/83.80 congruence. % 83.55/83.80 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.55/83.80 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (op1 (e12) (e10)) (e12)) = (op1 (e13) (e12)))). % 83.55/83.80 intro zenon_D_pnotp. % 83.55/83.80 apply zenon_H35c. % 83.55/83.80 rewrite <- zenon_D_pnotp. % 83.55/83.80 exact zenon_H205. % 83.55/83.80 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.55/83.80 cut (((op1 (e13) (e12)) = (op1 (op1 (e12) (e10)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35a]. % 83.55/83.80 congruence. % 83.55/83.80 apply (zenon_L272_); trivial. % 83.55/83.80 apply zenon_H206. apply refl_equal. % 83.55/83.80 apply zenon_H206. apply refl_equal. % 83.55/83.80 apply zenon_H307. apply sym_equal. exact zenon_H197. % 83.55/83.80 apply zenon_H206. apply refl_equal. % 83.55/83.80 apply zenon_H206. apply refl_equal. % 83.55/83.80 (* end of lemma zenon_L287_ *) % 83.55/83.80 assert (zenon_L288_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H252 zenon_H194 zenon_H19c. % 83.55/83.80 cut (((op1 (e13) (e10)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 83.55/83.80 intro zenon_D_pnotp. % 83.55/83.80 apply zenon_H252. % 83.55/83.80 rewrite <- zenon_D_pnotp. % 83.55/83.80 exact zenon_H194. % 83.55/83.80 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 83.55/83.80 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 83.55/83.80 congruence. % 83.55/83.80 apply zenon_H16f. apply refl_equal. % 83.55/83.80 apply zenon_H19d. apply sym_equal. exact zenon_H19c. % 83.55/83.80 (* end of lemma zenon_L288_ *) % 83.55/83.80 assert (zenon_L289_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H256 zenon_H3a zenon_H42 zenon_H200 zenon_H1ab zenon_H181 zenon_H1d4 zenon_H252 zenon_H194. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.55/83.80 apply (zenon_L21_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.55/83.80 apply (zenon_L159_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.55/83.80 apply (zenon_L117_); trivial. % 83.55/83.80 apply (zenon_L288_); trivial. % 83.55/83.80 (* end of lemma zenon_L289_ *) % 83.55/83.80 assert (zenon_L290_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H56 zenon_H194 zenon_H252 zenon_H1d4 zenon_H181 zenon_H1ab zenon_H200 zenon_H256 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.55/83.80 apply (zenon_L289_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.55/83.80 apply (zenon_L15_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.55/83.80 apply (zenon_L17_); trivial. % 83.55/83.80 apply (zenon_L19_); trivial. % 83.55/83.80 (* end of lemma zenon_L290_ *) % 83.55/83.80 assert (zenon_L291_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H357 zenon_H53 zenon_H45 zenon_H256 zenon_H200 zenon_H1ab zenon_H1d4 zenon_H252 zenon_H194 zenon_H56 zenon_H360 zenon_H1d9 zenon_H354 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.55/83.80 apply (zenon_L131_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.55/83.80 apply (zenon_L290_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.55/83.80 apply (zenon_L276_); trivial. % 83.55/83.80 apply (zenon_L17_); trivial. % 83.55/83.80 (* end of lemma zenon_L291_ *) % 83.55/83.80 assert (zenon_L292_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H256 zenon_H3a zenon_H42 zenon_H19a zenon_H1d9 zenon_H354 zenon_H181 zenon_H1d4 zenon_H252 zenon_H194. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.55/83.80 apply (zenon_L21_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.55/83.80 apply (zenon_L273_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.55/83.80 apply (zenon_L117_); trivial. % 83.55/83.80 apply (zenon_L288_); trivial. % 83.55/83.80 (* end of lemma zenon_L292_ *) % 83.55/83.80 assert (zenon_L293_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H35d zenon_H2cd zenon_H181 zenon_H34f zenon_H18e zenon_H2c zenon_H1d8 zenon_H1da. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ]. % 83.55/83.80 apply (zenon_L218_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ]. % 83.55/83.80 apply (zenon_L269_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ]. % 83.55/83.80 apply (zenon_L101_); trivial. % 83.55/83.80 apply (zenon_L118_); trivial. % 83.55/83.80 (* end of lemma zenon_L293_ *) % 83.55/83.80 assert (zenon_L294_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H1e4 zenon_H259 zenon_H363. % 83.55/83.80 cut (((op1 (e11) (e13)) = (e13)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 83.55/83.80 intro zenon_D_pnotp. % 83.55/83.80 apply zenon_H1e4. % 83.55/83.80 rewrite <- zenon_D_pnotp. % 83.55/83.80 exact zenon_H259. % 83.55/83.80 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H364]. % 83.55/83.80 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 83.55/83.80 congruence. % 83.55/83.80 apply zenon_H1e7. apply refl_equal. % 83.55/83.80 apply zenon_H364. apply sym_equal. exact zenon_H363. % 83.55/83.80 (* end of lemma zenon_L294_ *) % 83.55/83.80 assert (zenon_L295_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H365 zenon_H194 zenon_H252 zenon_H1d4 zenon_H354 zenon_H19a zenon_H42 zenon_H3a zenon_H256 zenon_H230 zenon_H14 zenon_H17 zenon_H1d8 zenon_H2c zenon_H18e zenon_H34f zenon_H181 zenon_H2cd zenon_H35d zenon_H1e4 zenon_H259. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ]. % 83.55/83.80 apply (zenon_L292_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ]. % 83.55/83.80 apply (zenon_L148_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ]. % 83.55/83.80 apply (zenon_L293_); trivial. % 83.55/83.80 apply (zenon_L294_); trivial. % 83.55/83.80 (* end of lemma zenon_L295_ *) % 83.55/83.80 assert (zenon_L296_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (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) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (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 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H357 zenon_H53 zenon_H45 zenon_H365 zenon_H194 zenon_H252 zenon_H1d4 zenon_H19a zenon_H256 zenon_H230 zenon_H1d8 zenon_H34f zenon_H2cd zenon_H1e4 zenon_H259 zenon_H56 zenon_H360 zenon_H354 zenon_H18e zenon_H1a5 zenon_H34b zenon_H35d zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.55/83.80 apply (zenon_L295_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.55/83.80 apply (zenon_L15_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.55/83.80 apply (zenon_L17_); trivial. % 83.55/83.80 apply (zenon_L19_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.55/83.80 apply (zenon_L281_); trivial. % 83.55/83.80 apply (zenon_L17_); trivial. % 83.55/83.80 (* end of lemma zenon_L296_ *) % 83.55/83.80 assert (zenon_L297_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (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) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e11))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H1f3 zenon_H2e zenon_H200 zenon_H25d zenon_H1ee zenon_H229 zenon_H53 zenon_H45 zenon_H365 zenon_H252 zenon_H1d4 zenon_H19a zenon_H256 zenon_H230 zenon_H1d8 zenon_H2cd zenon_H1e4 zenon_H56 zenon_H360 zenon_H18e zenon_H35d zenon_H16 zenon_H1f5 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H1a5 zenon_H354 zenon_H34f zenon_H34b zenon_H357 zenon_H194 zenon_H163. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L177_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.55/83.80 apply (zenon_L177_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.55/83.80 apply (zenon_L147_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.55/83.80 apply (zenon_L291_); trivial. % 83.55/83.80 apply (zenon_L296_); trivial. % 83.55/83.80 apply (zenon_L238_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_L102_); trivial. % 83.55/83.80 (* end of lemma zenon_L297_ *) % 83.55/83.80 assert (zenon_L298_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H56 zenon_H19c zenon_H253 zenon_H252 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.55/83.80 apply (zenon_L160_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.55/83.80 apply (zenon_L15_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.55/83.80 apply (zenon_L17_); trivial. % 83.55/83.80 apply (zenon_L19_); trivial. % 83.55/83.80 (* end of lemma zenon_L298_ *) % 83.55/83.80 assert (zenon_L299_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H1f4 zenon_H161 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H1e zenon_H2e zenon_H1dc zenon_H181 zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H354 zenon_H1d9 zenon_H360 zenon_H163 zenon_H200 zenon_H357 zenon_H1bf zenon_H195. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.80 apply (zenon_L170_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.80 apply (zenon_L105_); trivial. % 83.55/83.80 apply (zenon_L285_); trivial. % 83.55/83.80 (* end of lemma zenon_L299_ *) % 83.55/83.80 assert (zenon_L300_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e10) (op1 (e11) (e12))) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H56 zenon_H1ab zenon_H26b zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.55/83.80 apply (zenon_L174_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.55/83.80 apply (zenon_L15_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.55/83.80 apply (zenon_L17_); trivial. % 83.55/83.80 apply (zenon_L19_); trivial. % 83.55/83.80 (* end of lemma zenon_L300_ *) % 83.55/83.80 assert (zenon_L301_ : ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H1aa zenon_H1a9 zenon_H42 zenon_H34f zenon_H163 zenon_H357 zenon_H200 zenon_H1d8 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1a0 zenon_H19a zenon_H1ad zenon_H2cd zenon_H256 zenon_H360 zenon_H354 zenon_H18e zenon_H1a5 zenon_H34b zenon_H35d zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.55/83.80 apply (zenon_L279_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.55/83.80 apply (zenon_L281_); trivial. % 83.55/83.80 apply (zenon_L17_); trivial. % 83.55/83.80 (* end of lemma zenon_L301_ *) % 83.55/83.80 assert (zenon_L302_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e12) (e10))) = (e10))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e11) = (e13))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H1f5 zenon_H16 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H35d zenon_H34b zenon_H1a5 zenon_H18e zenon_H354 zenon_H360 zenon_H256 zenon_H2cd zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1d8 zenon_H200 zenon_H357 zenon_H163 zenon_H34f zenon_H1a9 zenon_H42 zenon_H28f zenon_H195 zenon_H1ee. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L301_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_L191_); trivial. % 83.55/83.80 apply (zenon_L128_); trivial. % 83.55/83.80 (* end of lemma zenon_L302_ *) % 83.55/83.80 assert (zenon_L303_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H1b0 zenon_H163 zenon_H357 zenon_H34b zenon_H34f zenon_H1a5 zenon_H50 zenon_H1f5 zenon_H16 zenon_H35d zenon_H18e zenon_H360 zenon_H56 zenon_H1e4 zenon_H2cd zenon_H1d8 zenon_H230 zenon_H256 zenon_H1d4 zenon_H252 zenon_H365 zenon_H45 zenon_H229 zenon_H1ee zenon_H25d zenon_H200 zenon_H2e zenon_H1f3 zenon_H32b zenon_H1d9 zenon_H354 zenon_H29d zenon_H181 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.55/83.80 apply (zenon_L287_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.55/83.80 apply (zenon_L196_); trivial. % 83.55/83.80 apply (zenon_L19_); trivial. % 83.55/83.80 (* end of lemma zenon_L303_ *) % 83.55/83.80 assert (zenon_L304_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e12) (op1 (e12) (e12))) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H1dc zenon_H360 zenon_H1d9 zenon_H354 zenon_H187 zenon_H14 zenon_H2ac zenon_H35d zenon_H2cd zenon_H181 zenon_H34f zenon_H18e zenon_H2c zenon_H1d8. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dd ]. % 83.55/83.80 apply (zenon_L276_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H186 | zenon_intro zenon_H1de ]. % 83.55/83.80 apply (zenon_L100_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1da ]. % 83.55/83.80 apply (zenon_L200_); trivial. % 83.55/83.80 apply (zenon_L293_); trivial. % 83.55/83.80 (* end of lemma zenon_L304_ *) % 83.55/83.80 assert (zenon_L305_ : ((op1 (e13) (e12)) = (op1 (e12) (e13))) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H2bc zenon_H19c zenon_H1d9 zenon_H34f. % 83.55/83.80 elim (classic ((e10) = (e10))); [ zenon_intro zenon_H368 | zenon_intro zenon_H12 ]. % 83.55/83.80 cut (((e10) = (e10)) = ((op1 (e12) (op1 (e12) (e10))) = (e10))). % 83.55/83.80 intro zenon_D_pnotp. % 83.55/83.80 apply zenon_H34f. % 83.55/83.80 rewrite <- zenon_D_pnotp. % 83.55/83.80 exact zenon_H368. % 83.55/83.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.80 cut (((e10) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H369]. % 83.55/83.80 congruence. % 83.55/83.80 cut (((op1 (e13) (e12)) = (op1 (e12) (e13))) = ((e10) = (op1 (e12) (op1 (e12) (e10))))). % 83.55/83.80 intro zenon_D_pnotp. % 83.55/83.80 apply zenon_H369. % 83.55/83.80 rewrite <- zenon_D_pnotp. % 83.55/83.80 exact zenon_H2bc. % 83.55/83.80 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H36a]. % 83.55/83.80 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H36b]. % 83.55/83.80 congruence. % 83.55/83.80 exact (zenon_H36b zenon_H19c). % 83.55/83.80 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 83.55/83.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.80 congruence. % 83.55/83.80 apply zenon_H2b. apply refl_equal. % 83.55/83.80 apply zenon_H2fe. apply sym_equal. exact zenon_H1d9. % 83.55/83.80 apply zenon_H12. apply refl_equal. % 83.55/83.80 apply zenon_H12. apply refl_equal. % 83.55/83.80 (* end of lemma zenon_L305_ *) % 83.55/83.80 assert (zenon_L306_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H1dc zenon_H360 zenon_H1a5 zenon_H34b zenon_H187 zenon_H236 zenon_H14 zenon_H17 zenon_H2c9 zenon_H1bf zenon_H195 zenon_H354 zenon_H1d9 zenon_H32b zenon_H2e7 zenon_H35d zenon_H2cd zenon_H181 zenon_H34f zenon_H18e zenon_H2c zenon_H1d8. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dd ]. % 83.55/83.80 apply (zenon_L281_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H186 | zenon_intro zenon_H1de ]. % 83.55/83.80 apply (zenon_L100_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1da ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.55/83.80 apply (zenon_L287_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.55/83.80 apply (zenon_L113_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.55/83.80 apply (zenon_L214_); trivial. % 83.55/83.80 apply (zenon_L149_); trivial. % 83.55/83.80 apply (zenon_L293_); trivial. % 83.55/83.80 (* end of lemma zenon_L306_ *) % 83.55/83.80 assert (zenon_L307_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H357 zenon_H1d8 zenon_H34f zenon_H2cd zenon_H2e7 zenon_H32b zenon_H1d9 zenon_H195 zenon_H1bf zenon_H2c9 zenon_H236 zenon_H187 zenon_H1dc zenon_H360 zenon_H354 zenon_H18e zenon_H1a5 zenon_H34b zenon_H35d zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.55/83.80 apply (zenon_L306_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.55/83.80 apply (zenon_L281_); trivial. % 83.55/83.80 apply (zenon_L17_); trivial. % 83.55/83.80 (* end of lemma zenon_L307_ *) % 83.55/83.80 assert (zenon_L308_ : (~((op1 (e10) (op1 (e13) (e12))) = (op1 (e10) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H36c zenon_H36d. % 83.55/83.80 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H36e]. % 83.55/83.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.80 congruence. % 83.55/83.80 apply zenon_H12. apply refl_equal. % 83.55/83.80 exact (zenon_H36e zenon_H36d). % 83.55/83.80 (* end of lemma zenon_L308_ *) % 83.55/83.80 assert (zenon_L309_ : (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H36f zenon_H42 zenon_H36d. % 83.55/83.80 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (op1 (e13) (e12))) = (e10))). % 83.55/83.80 intro zenon_D_pnotp. % 83.55/83.80 apply zenon_H36f. % 83.55/83.80 rewrite <- zenon_D_pnotp. % 83.55/83.80 exact zenon_H42. % 83.55/83.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.55/83.80 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H370]. % 83.55/83.80 congruence. % 83.55/83.80 elim (classic ((op1 (e10) (op1 (e13) (e12))) = (op1 (e10) (op1 (e13) (e12))))); [ zenon_intro zenon_H371 | zenon_intro zenon_H372 ]. % 83.55/83.80 cut (((op1 (e10) (op1 (e13) (e12))) = (op1 (e10) (op1 (e13) (e12)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e13) (e12))))). % 83.55/83.80 intro zenon_D_pnotp. % 83.55/83.80 apply zenon_H370. % 83.55/83.80 rewrite <- zenon_D_pnotp. % 83.55/83.80 exact zenon_H371. % 83.55/83.80 cut (((op1 (e10) (op1 (e13) (e12))) = (op1 (e10) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H372]. % 83.55/83.80 cut (((op1 (e10) (op1 (e13) (e12))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H36c]. % 83.55/83.80 congruence. % 83.55/83.80 apply (zenon_L308_); trivial. % 83.55/83.80 apply zenon_H372. apply refl_equal. % 83.55/83.80 apply zenon_H372. apply refl_equal. % 83.55/83.80 apply zenon_H12. apply refl_equal. % 83.55/83.80 (* end of lemma zenon_L309_ *) % 83.55/83.80 assert (zenon_L310_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H373 zenon_H1e zenon_H14 zenon_H17 zenon_H200 zenon_H19b zenon_H1d9 zenon_H1d8 zenon_H36f zenon_H42. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H1d | zenon_intro zenon_H374 ]. % 83.55/83.80 apply (zenon_L4_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H1ab | zenon_intro zenon_H375 ]. % 83.55/83.80 apply (zenon_L159_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H1da | zenon_intro zenon_H36d ]. % 83.55/83.80 apply (zenon_L118_); trivial. % 83.55/83.80 apply (zenon_L309_); trivial. % 83.55/83.80 (* end of lemma zenon_L310_ *) % 83.55/83.80 assert (zenon_L311_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((e10) = (e13))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e13)) = (op1 (e13) (e12))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H256 zenon_H3a zenon_H36f zenon_H1d8 zenon_H1d9 zenon_H200 zenon_H17 zenon_H14 zenon_H1e zenon_H373 zenon_H181 zenon_H1d4 zenon_H2d5 zenon_H42 zenon_H50. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.55/83.80 apply (zenon_L21_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.55/83.80 apply (zenon_L310_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.55/83.80 apply (zenon_L117_); trivial. % 83.55/83.80 apply (zenon_L221_); trivial. % 83.55/83.80 (* end of lemma zenon_L311_ *) % 83.55/83.80 assert (zenon_L312_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H20a zenon_H195 zenon_H20b. % 83.55/83.80 cut (((op1 (e13) (e10)) = (e11)) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))). % 83.55/83.80 intro zenon_D_pnotp. % 83.55/83.80 apply zenon_H20a. % 83.55/83.80 rewrite <- zenon_D_pnotp. % 83.55/83.80 exact zenon_H195. % 83.55/83.80 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H20c]. % 83.55/83.80 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 83.55/83.80 congruence. % 83.55/83.80 apply zenon_H16f. apply refl_equal. % 83.55/83.80 apply zenon_H20c. apply sym_equal. exact zenon_H20b. % 83.55/83.80 (* end of lemma zenon_L312_ *) % 83.55/83.80 assert (zenon_L313_ : (~((op1 (e12) (op1 (e13) (e13))) = (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H376 zenon_H2da. % 83.55/83.80 cut (((op1 (e13) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H377]. % 83.55/83.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.80 congruence. % 83.55/83.80 apply zenon_H2b. apply refl_equal. % 83.55/83.80 exact (zenon_H377 zenon_H2da). % 83.55/83.80 (* end of lemma zenon_L313_ *) % 83.55/83.80 assert (zenon_L314_ : (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False). % 83.55/83.80 do 0 intro. intros zenon_H378 zenon_H1a7 zenon_H2da. % 83.55/83.80 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (op1 (e13) (e13))) = (e12))). % 83.55/83.80 intro zenon_D_pnotp. % 83.55/83.80 apply zenon_H378. % 83.55/83.80 rewrite <- zenon_D_pnotp. % 83.55/83.80 exact zenon_H1a7. % 83.55/83.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.55/83.80 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H379]. % 83.55/83.80 congruence. % 83.55/83.80 elim (classic ((op1 (e12) (op1 (e13) (e13))) = (op1 (e12) (op1 (e13) (e13))))); [ zenon_intro zenon_H37a | zenon_intro zenon_H37b ]. % 83.55/83.80 cut (((op1 (e12) (op1 (e13) (e13))) = (op1 (e12) (op1 (e13) (e13)))) = ((op1 (e12) (e12)) = (op1 (e12) (op1 (e13) (e13))))). % 83.55/83.80 intro zenon_D_pnotp. % 83.55/83.80 apply zenon_H379. % 83.55/83.80 rewrite <- zenon_D_pnotp. % 83.55/83.80 exact zenon_H37a. % 83.55/83.80 cut (((op1 (e12) (op1 (e13) (e13))) = (op1 (e12) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H37b]. % 83.55/83.80 cut (((op1 (e12) (op1 (e13) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H376]. % 83.55/83.80 congruence. % 83.55/83.80 apply (zenon_L313_); trivial. % 83.55/83.80 apply zenon_H37b. apply refl_equal. % 83.55/83.80 apply zenon_H37b. apply refl_equal. % 83.55/83.80 apply zenon_H2b. apply refl_equal. % 83.55/83.80 (* end of lemma zenon_L314_ *) % 83.55/83.80 assert (zenon_L315_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H1dc zenon_H360 zenon_H1d9 zenon_H354 zenon_H187 zenon_H14 zenon_H42 zenon_H2df zenon_H378 zenon_H20a zenon_H195 zenon_H53 zenon_H2e3 zenon_H35d zenon_H2cd zenon_H181 zenon_H34f zenon_H18e zenon_H2c zenon_H1d8. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dd ]. % 83.55/83.80 apply (zenon_L276_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H186 | zenon_intro zenon_H1de ]. % 83.55/83.80 apply (zenon_L100_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1da ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e4 ]. % 83.55/83.80 apply (zenon_L18_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H20b | zenon_intro zenon_H2e5 ]. % 83.55/83.80 apply (zenon_L312_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2da | zenon_intro zenon_H2dd ]. % 83.55/83.80 apply (zenon_L314_); trivial. % 83.55/83.80 apply (zenon_L225_); trivial. % 83.55/83.80 apply (zenon_L293_); trivial. % 83.55/83.80 (* end of lemma zenon_L315_ *) % 83.55/83.80 assert (zenon_L316_ : ((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\(((op1 (op1 (e12) (e10)) (e12)) = (e10))/\(~((op1 (op1 (e12) (e10)) (e10)) = (e12))))) -> ((((op1 (e10) (e10)) = (op1 (e10) (e10)))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e10))) = (e13)))))))\/((((op1 (e11) (e10)) = (op1 (e10) (e11)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e11))) = (e13)))))))\/((((op1 (e12) (e10)) = (op1 (e10) (e12)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e12))) = (e13)))))))\/((((op1 (e13) (e10)) = (op1 (e10) (e13)))/\((~((op1 (e10) (op1 (e10) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e13))) = (e13)))))))\/((((op1 (e10) (e11)) = (op1 (e11) (e10)))/\((~((op1 (e10) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e10))) = (e13)))))))\/((((op1 (e11) (e11)) = (op1 (e11) (e11)))/\((~((op1 (e10) (op1 (e11) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e11))) = (e13)))))))\/((((op1 (e12) (e11)) = (op1 (e11) (e12)))/\((~((op1 (e10) (op1 (e11) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e12))) = (e13)))))))\/((((op1 (e13) (e11)) = (op1 (e11) (e13)))/\((~((op1 (e10) (op1 (e11) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e13))) = (e13)))))))\/((((op1 (e10) (e12)) = (op1 (e12) (e10)))/\((~((op1 (e10) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e10))) = (e13)))))))\/((((op1 (e11) (e12)) = (op1 (e12) (e11)))/\((~((op1 (e10) (op1 (e12) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e11))) = (e13)))))))\/((((op1 (e12) (e12)) = (op1 (e12) (e12)))/\((~((op1 (e10) (op1 (e12) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e12))) = (e13)))))))\/((((op1 (e13) (e12)) = (op1 (e12) (e13)))/\((~((op1 (e10) (op1 (e12) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e13))) = (e13)))))))\/((((op1 (e10) (e13)) = (op1 (e13) (e10)))/\((~((op1 (e10) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e10))) = (e13)))))))\/((((op1 (e11) (e13)) = (op1 (e13) (e11)))/\((~((op1 (e10) (op1 (e13) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e11))) = (e13)))))))\/((((op1 (e12) (e13)) = (op1 (e13) (e12)))/\((~((op1 (e10) (op1 (e13) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e12))) = (e13)))))))\/(((op1 (e13) (e13)) = (op1 (e13) (e13)))/\((~((op1 (e10) (op1 (e13) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((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) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (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) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> False). % 83.55/83.80 do 0 intro. intros zenon_H37c zenon_H37d zenon_H23d zenon_H249 zenon_H16d zenon_H1b9 zenon_H1f4 zenon_H25a zenon_H1c9 zenon_H1b6 zenon_H1cf zenon_H1e8 zenon_H1c8 zenon_H1b0 zenon_H236 zenon_H1bf zenon_H32b zenon_H2e7 zenon_H373 zenon_H1e zenon_H220 zenon_H3f zenon_H1dc zenon_H187 zenon_H20a zenon_H2e3 zenon_H1ad zenon_H1a0 zenon_H1a9 zenon_H1f3 zenon_H2e zenon_H200 zenon_H25d zenon_H1ee zenon_H229 zenon_H53 zenon_H45 zenon_H365 zenon_H252 zenon_H1d4 zenon_H19a zenon_H256 zenon_H230 zenon_H1d8 zenon_H2cd zenon_H1e4 zenon_H56 zenon_H360 zenon_H18e zenon_H35d zenon_H16 zenon_H1f5 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H1a5 zenon_H357 zenon_H163. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H34f. zenon_intro zenon_H37e. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H354. zenon_intro zenon_H34b. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L282_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.80 apply (zenon_L20_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.80 apply (zenon_L284_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.80 apply (zenon_L286_); trivial. % 83.55/83.80 apply (zenon_L287_); trivial. % 83.55/83.80 apply (zenon_L128_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.55/83.80 apply (zenon_L150_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.55/83.80 apply (zenon_L9_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_L153_); trivial. % 83.55/83.80 apply (zenon_L10_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L282_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.80 apply (zenon_L20_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.80 apply (zenon_L284_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.55/83.80 apply (zenon_L116_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.55/83.80 apply (zenon_L97_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.55/83.80 apply (zenon_L277_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ]. % 83.55/83.80 apply (zenon_L95_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ]. % 83.55/83.80 apply (zenon_L97_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ]. % 83.55/83.80 apply (zenon_L98_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.55/83.80 apply (zenon_L280_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.55/83.80 apply (zenon_L147_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.55/83.80 apply (zenon_L290_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.55/83.80 apply (zenon_L103_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.55/83.80 apply (zenon_L298_); trivial. % 83.55/83.80 apply (zenon_L19_); trivial. % 83.55/83.80 apply (zenon_L162_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.80 apply (zenon_L105_); trivial. % 83.55/83.80 apply (zenon_L285_); trivial. % 83.55/83.80 apply (zenon_L287_); trivial. % 83.55/83.80 apply (zenon_L128_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L282_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.80 apply (zenon_L20_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.80 apply (zenon_L284_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.80 apply (zenon_L166_); trivial. % 83.55/83.80 apply (zenon_L287_); trivial. % 83.55/83.80 apply (zenon_L128_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L282_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.80 apply (zenon_L20_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.80 apply (zenon_L284_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.80 apply (zenon_L299_); trivial. % 83.55/83.80 apply (zenon_L287_); trivial. % 83.55/83.80 apply (zenon_L128_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H270. zenon_intro zenon_H277. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H26b. zenon_intro zenon_H278. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L282_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.80 apply (zenon_L20_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.80 apply (zenon_L284_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.55/83.80 apply (zenon_L116_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.55/83.80 apply (zenon_L97_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.55/83.80 apply (zenon_L277_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.55/83.80 apply (zenon_L280_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.55/83.80 apply (zenon_L147_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.55/83.80 apply (zenon_L300_); trivial. % 83.55/83.80 apply (zenon_L162_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.55/83.80 apply (zenon_L105_); trivial. % 83.55/83.80 apply (zenon_L285_); trivial. % 83.55/83.80 apply (zenon_L287_); trivial. % 83.55/83.80 apply (zenon_L128_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H284. zenon_intro zenon_H283. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H286. zenon_intro zenon_H285. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H288. zenon_intro zenon_H287. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H27d. zenon_intro zenon_H289. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L282_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.55/83.80 apply (zenon_L20_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.55/83.80 apply (zenon_L284_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.55/83.80 apply (zenon_L188_); trivial. % 83.55/83.80 apply (zenon_L287_); trivial. % 83.55/83.80 apply (zenon_L128_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H293. zenon_intro zenon_H295. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28f. zenon_intro zenon_H296. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.55/83.80 apply (zenon_L302_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.55/83.80 apply (zenon_L15_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.55/83.80 apply (zenon_L17_); trivial. % 83.55/83.80 apply (zenon_L19_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H29d. zenon_intro zenon_H2a5. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L282_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.55/83.80 apply (zenon_L303_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.55/83.80 apply (zenon_L281_); trivial. % 83.55/83.80 apply (zenon_L17_); trivial. % 83.55/83.80 apply (zenon_L128_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H188. zenon_intro zenon_H2b3. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2b5. zenon_intro zenon_H2b4. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2b7. zenon_intro zenon_H2b6. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2ac. zenon_intro zenon_H2b8. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L282_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.55/83.80 apply (zenon_L131_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.55/83.80 apply (zenon_L304_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.55/83.80 apply (zenon_L276_); trivial. % 83.55/83.80 apply (zenon_L17_); trivial. % 83.55/83.80 apply (zenon_L128_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2bc. zenon_intro zenon_H2c3. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L282_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.55/83.80 apply (zenon_L287_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.55/83.80 apply (zenon_L305_); trivial. % 83.55/83.80 apply (zenon_L19_); trivial. % 83.55/83.80 apply (zenon_L128_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c4. zenon_intro zenon_H2c6. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L282_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.55/83.80 apply (zenon_L287_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.55/83.80 apply (zenon_L208_); trivial. % 83.55/83.80 apply (zenon_L19_); trivial. % 83.55/83.80 apply (zenon_L128_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2c7. zenon_intro zenon_H2cf. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d3. zenon_intro zenon_H2d2. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H2c9. zenon_intro zenon_H2d4. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.55/83.80 apply (zenon_L271_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.55/83.80 apply (zenon_L3_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.55/83.80 apply (zenon_L282_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.55/83.80 apply (zenon_L307_); trivial. % 83.55/83.80 apply (zenon_L128_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.55/83.80 apply (zenon_L268_); trivial. % 83.55/83.80 apply (zenon_L297_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2d5. zenon_intro zenon_H2d8. % 83.55/83.80 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H36f. zenon_intro zenon_H39e. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.55/83.80 apply (zenon_L11_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.55/83.80 apply (zenon_L7_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.55/83.80 apply (zenon_L90_); trivial. % 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.80 apply (zenon_L271_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.65/83.80 apply (zenon_L3_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.65/83.80 apply (zenon_L282_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.80 apply (zenon_L131_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.80 apply (zenon_L311_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.80 apply (zenon_L15_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.80 apply (zenon_L17_); trivial. % 83.65/83.80 apply (zenon_L19_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.80 apply (zenon_L276_); trivial. % 83.65/83.80 apply (zenon_L17_); trivial. % 83.65/83.80 apply (zenon_L128_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.80 apply (zenon_L268_); trivial. % 83.65/83.80 apply (zenon_L297_); trivial. % 83.65/83.80 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8. % 83.65/83.80 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2df. zenon_intro zenon_H2ea. % 83.65/83.80 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H3a0. zenon_intro zenon_H39f. % 83.65/83.80 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_H378. zenon_intro zenon_H3a1. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.65/83.80 apply (zenon_L11_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.80 apply (zenon_L7_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.80 apply (zenon_L90_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.80 apply (zenon_L271_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.65/83.80 apply (zenon_L3_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.65/83.80 apply (zenon_L282_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.80 apply (zenon_L131_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.80 apply (zenon_L315_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.80 apply (zenon_L15_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.80 apply (zenon_L17_); trivial. % 83.65/83.80 apply (zenon_L19_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.80 apply (zenon_L276_); trivial. % 83.65/83.80 apply (zenon_L17_); trivial. % 83.65/83.80 apply (zenon_L128_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.80 apply (zenon_L268_); trivial. % 83.65/83.80 apply (zenon_L297_); trivial. % 83.65/83.80 (* end of lemma zenon_L316_ *) % 83.65/83.80 assert (zenon_L317_ : (~((op1 (e11) (e12)) = (op1 (op1 (e12) (e11)) (e12)))) -> ((op1 (e12) (e11)) = (e11)) -> False). % 83.65/83.80 do 0 intro. intros zenon_H3a2 zenon_H184. % 83.65/83.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.65/83.80 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28b]. % 83.65/83.80 congruence. % 83.65/83.80 apply zenon_H28b. apply sym_equal. exact zenon_H184. % 83.65/83.80 apply zenon_H2b. apply refl_equal. % 83.65/83.80 (* end of lemma zenon_L317_ *) % 83.65/83.80 assert (zenon_L318_ : ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> False). % 83.65/83.80 do 0 intro. intros zenon_H3a3 zenon_H184 zenon_H244 zenon_H1a0. % 83.65/83.80 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ]. % 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H1a0. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H1a1. % 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 83.65/83.80 congruence. % 83.65/83.80 cut (((op1 (op1 (e12) (e11)) (e12)) = (e11)) = ((op1 (e11) (e12)) = (op1 (e10) (e12)))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H1a2. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H3a3. % 83.65/83.80 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2ee]. % 83.65/83.80 cut (((op1 (op1 (e12) (e11)) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a4]. % 83.65/83.80 congruence. % 83.65/83.80 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ]. % 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (op1 (e12) (e11)) (e12)) = (op1 (e11) (e12)))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H3a4. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H1a1. % 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (op1 (e12) (e11)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a2]. % 83.65/83.80 congruence. % 83.65/83.80 apply (zenon_L317_); trivial. % 83.65/83.80 apply zenon_H19e. apply refl_equal. % 83.65/83.80 apply zenon_H19e. apply refl_equal. % 83.65/83.80 apply zenon_H2ee. apply sym_equal. exact zenon_H244. % 83.65/83.80 apply zenon_H19e. apply refl_equal. % 83.65/83.80 apply zenon_H19e. apply refl_equal. % 83.65/83.80 (* end of lemma zenon_L318_ *) % 83.65/83.80 assert (zenon_L319_ : ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False). % 83.65/83.80 do 0 intro. intros zenon_H3a3 zenon_H182 zenon_H244 zenon_H187. % 83.65/83.80 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ]. % 83.65/83.80 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H187. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H188. % 83.65/83.80 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 83.65/83.80 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H18a]. % 83.65/83.80 congruence. % 83.65/83.80 cut (((op1 (op1 (e12) (e11)) (e12)) = (e11)) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H18a. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H3a3. % 83.65/83.80 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2ee]. % 83.65/83.80 cut (((op1 (op1 (e12) (e11)) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a5]. % 83.65/83.80 congruence. % 83.65/83.80 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ]. % 83.65/83.80 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e12) (e11)) (e12)) = (op1 (e12) (e12)))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H3a5. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H188. % 83.65/83.80 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 83.65/83.80 cut (((op1 (e12) (e12)) = (op1 (op1 (e12) (e11)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 83.65/83.80 congruence. % 83.65/83.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.65/83.80 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3a7]. % 83.65/83.80 congruence. % 83.65/83.80 apply zenon_H3a7. apply sym_equal. exact zenon_H182. % 83.65/83.80 apply zenon_H2b. apply refl_equal. % 83.65/83.80 apply zenon_H189. apply refl_equal. % 83.65/83.80 apply zenon_H189. apply refl_equal. % 83.65/83.80 apply zenon_H2ee. apply sym_equal. exact zenon_H244. % 83.65/83.80 apply zenon_H189. apply refl_equal. % 83.65/83.80 apply zenon_H189. apply refl_equal. % 83.65/83.80 (* end of lemma zenon_L319_ *) % 83.65/83.80 assert (zenon_L320_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False). % 83.65/83.80 do 0 intro. intros zenon_H3a8 zenon_H1ff zenon_H2cd zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H17 zenon_H14 zenon_H230. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H181 | zenon_intro zenon_H3a9 ]. % 83.65/83.80 apply (zenon_L218_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H184 | zenon_intro zenon_H3aa ]. % 83.65/83.80 apply (zenon_L318_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H182 | zenon_intro zenon_H22f ]. % 83.65/83.80 apply (zenon_L319_); trivial. % 83.65/83.80 apply (zenon_L148_); trivial. % 83.65/83.80 (* end of lemma zenon_L320_ *) % 83.65/83.80 assert (zenon_L321_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e10)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False). % 83.65/83.80 do 0 intro. intros zenon_H249 zenon_H2e zenon_H1e zenon_H230 zenon_H17 zenon_H3a3 zenon_H187 zenon_H1a0 zenon_H2cd zenon_H1ff zenon_H3a8 zenon_H14 zenon_H2c zenon_H3a. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.80 apply (zenon_L7_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.80 apply (zenon_L9_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.80 apply (zenon_L320_); trivial. % 83.65/83.80 apply (zenon_L10_); trivial. % 83.65/83.80 (* end of lemma zenon_L321_ *) % 83.65/83.80 assert (zenon_L322_ : (~((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e10)))) -> ((op1 (e12) (e11)) = (e10)) -> False). % 83.65/83.80 do 0 intro. intros zenon_H3ab zenon_H181. % 83.65/83.80 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 83.65/83.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.65/83.80 congruence. % 83.65/83.80 apply zenon_H2b. apply refl_equal. % 83.65/83.80 exact (zenon_H298 zenon_H181). % 83.65/83.80 (* end of lemma zenon_L322_ *) % 83.65/83.80 assert (zenon_L323_ : (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e11)) = (e10)) -> False). % 83.65/83.80 do 0 intro. intros zenon_H3ac zenon_H16c zenon_H181. % 83.65/83.80 cut (((op1 (e12) (e10)) = (e11)) = ((op1 (e12) (op1 (e12) (e11))) = (e11))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H3ac. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H16c. % 83.65/83.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.80 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ad]. % 83.65/83.80 congruence. % 83.65/83.80 elim (classic ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (op1 (e12) (e11))))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ]. % 83.65/83.80 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (op1 (e12) (e11)))) = ((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e11))))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H3ad. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H3ae. % 83.65/83.80 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3af]. % 83.65/83.80 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3ab]. % 83.65/83.80 congruence. % 83.65/83.80 apply (zenon_L322_); trivial. % 83.65/83.80 apply zenon_H3af. apply refl_equal. % 83.65/83.80 apply zenon_H3af. apply refl_equal. % 83.65/83.80 apply zenon_H165. apply refl_equal. % 83.65/83.80 (* end of lemma zenon_L323_ *) % 83.65/83.80 assert (zenon_L324_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e11) = (e12))) -> False). % 83.65/83.80 do 0 intro. intros zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H14 zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H2c zenon_H1e0 zenon_H2e. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ]. % 83.65/83.80 apply (zenon_L323_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ]. % 83.65/83.80 apply (zenon_L318_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ]. % 83.65/83.80 apply (zenon_L100_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.80 apply (zenon_L101_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.80 apply (zenon_L98_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.80 apply (zenon_L121_); trivial. % 83.65/83.80 apply (zenon_L110_); trivial. % 83.65/83.80 (* end of lemma zenon_L324_ *) % 83.65/83.80 assert (zenon_L325_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False). % 83.65/83.80 do 0 intro. intros zenon_H3a8 zenon_H1d5 zenon_H1d4 zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H17 zenon_H14 zenon_H230. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H181 | zenon_intro zenon_H3a9 ]. % 83.65/83.80 apply (zenon_L117_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H184 | zenon_intro zenon_H3aa ]. % 83.65/83.80 apply (zenon_L318_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H182 | zenon_intro zenon_H22f ]. % 83.65/83.80 apply (zenon_L319_); trivial. % 83.65/83.80 apply (zenon_L148_); trivial. % 83.65/83.80 (* end of lemma zenon_L325_ *) % 83.65/83.80 assert (zenon_L326_ : (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> False). % 83.65/83.80 do 0 intro. intros zenon_H3ac zenon_H245 zenon_H181 zenon_H244. % 83.65/83.80 cut (((op1 (e12) (e10)) = (op1 (e10) (e12))) = ((op1 (e12) (op1 (e12) (e11))) = (e11))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H3ac. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H245. % 83.65/83.80 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3b0]. % 83.65/83.80 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ad]. % 83.65/83.80 congruence. % 83.65/83.80 elim (classic ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (op1 (e12) (e11))))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ]. % 83.65/83.80 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (op1 (e12) (e11)))) = ((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e11))))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H3ad. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H3ae. % 83.65/83.80 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3af]. % 83.65/83.80 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3ab]. % 83.65/83.80 congruence. % 83.65/83.80 apply (zenon_L322_); trivial. % 83.65/83.80 apply zenon_H3af. apply refl_equal. % 83.65/83.80 apply zenon_H3af. apply refl_equal. % 83.65/83.80 exact (zenon_H3b0 zenon_H244). % 83.65/83.80 (* end of lemma zenon_L326_ *) % 83.65/83.80 assert (zenon_L327_ : (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e11) (e13)) = (e11)) -> False). % 83.65/83.80 do 0 intro. intros zenon_H3b1 zenon_H3a3 zenon_H184 zenon_H1eb. % 83.65/83.80 cut (((op1 (op1 (e12) (e11)) (e12)) = (e11)) = ((op1 (e11) (e12)) = (op1 (e11) (e13)))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H3b1. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H3a3. % 83.65/83.80 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33c]. % 83.65/83.80 cut (((op1 (op1 (e12) (e11)) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a4]. % 83.65/83.80 congruence. % 83.65/83.80 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ]. % 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (op1 (e12) (e11)) (e12)) = (op1 (e11) (e12)))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H3a4. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H1a1. % 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (op1 (e12) (e11)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a2]. % 83.65/83.80 congruence. % 83.65/83.80 apply (zenon_L317_); trivial. % 83.65/83.80 apply zenon_H19e. apply refl_equal. % 83.65/83.80 apply zenon_H19e. apply refl_equal. % 83.65/83.80 apply zenon_H33c. apply sym_equal. exact zenon_H1eb. % 83.65/83.80 (* end of lemma zenon_L327_ *) % 83.65/83.80 assert (zenon_L328_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False). % 83.65/83.80 do 0 intro. intros zenon_H3a8 zenon_H1d5 zenon_H1d4 zenon_H1eb zenon_H3b1 zenon_H187 zenon_H244 zenon_H3a3 zenon_H17 zenon_H14 zenon_H230. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H181 | zenon_intro zenon_H3a9 ]. % 83.65/83.80 apply (zenon_L117_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H184 | zenon_intro zenon_H3aa ]. % 83.65/83.80 apply (zenon_L327_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H182 | zenon_intro zenon_H22f ]. % 83.65/83.80 apply (zenon_L319_); trivial. % 83.65/83.80 apply (zenon_L148_); trivial. % 83.65/83.80 (* end of lemma zenon_L328_ *) % 83.65/83.80 assert (zenon_L329_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.80 do 0 intro. intros zenon_H357 zenon_H163 zenon_H16c zenon_H3ac zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H3b1 zenon_H1eb zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.80 apply (zenon_L179_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.80 apply (zenon_L323_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.80 apply (zenon_L328_); trivial. % 83.65/83.80 apply (zenon_L17_); trivial. % 83.65/83.80 (* end of lemma zenon_L329_ *) % 83.65/83.80 assert (zenon_L330_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> False). % 83.65/83.80 do 0 intro. intros zenon_H1e4 zenon_H1eb zenon_H1b3. % 83.65/83.80 cut (((op1 (e11) (e13)) = (e11)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 83.65/83.80 intro zenon_D_pnotp. % 83.65/83.80 apply zenon_H1e4. % 83.65/83.80 rewrite <- zenon_D_pnotp. % 83.65/83.80 exact zenon_H1eb. % 83.65/83.80 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3b2]. % 83.65/83.80 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 83.65/83.80 congruence. % 83.65/83.80 apply zenon_H1e7. apply refl_equal. % 83.65/83.80 apply zenon_H3b2. apply sym_equal. exact zenon_H1b3. % 83.65/83.80 (* end of lemma zenon_L330_ *) % 83.65/83.80 assert (zenon_L331_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> False). % 83.65/83.80 do 0 intro. intros zenon_H1ba zenon_H25 zenon_H17 zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H230 zenon_H3ac zenon_H163 zenon_H357 zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H2c zenon_H14 zenon_H1e4 zenon_H1eb. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ]. % 83.65/83.80 apply (zenon_L329_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ]. % 83.65/83.80 apply (zenon_L318_); trivial. % 83.65/83.80 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ]. % 83.65/83.80 apply (zenon_L100_); trivial. % 83.65/83.80 apply (zenon_L330_); trivial. % 83.65/83.80 (* end of lemma zenon_L331_ *) % 83.65/83.80 assert (zenon_L332_ : (((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 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1f4 zenon_H161 zenon_H177 zenon_H1ba zenon_H25 zenon_H17 zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H230 zenon_H3ac zenon_H163 zenon_H357 zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H2c zenon_H14 zenon_H1e4. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.65/83.81 apply (zenon_L90_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.65/83.81 apply (zenon_L180_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.65/83.81 apply (zenon_L105_); trivial. % 83.65/83.81 apply (zenon_L331_); trivial. % 83.65/83.81 (* end of lemma zenon_L332_ *) % 83.65/83.81 assert (zenon_L333_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e12))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1b9 zenon_H16 zenon_H2c zenon_H2e zenon_H17e zenon_H187 zenon_H244 zenon_H3a3 zenon_H197 zenon_H3f. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ]. % 83.65/83.81 apply (zenon_L95_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ]. % 83.65/83.81 apply (zenon_L97_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ]. % 83.65/83.81 apply (zenon_L319_); trivial. % 83.65/83.81 apply (zenon_L103_); trivial. % 83.65/83.81 (* end of lemma zenon_L333_ *) % 83.65/83.81 assert (zenon_L334_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1f4 zenon_H161 zenon_H3f zenon_H197 zenon_H2e zenon_H16 zenon_H1b9 zenon_H1ba zenon_H25 zenon_H17 zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H230 zenon_H3ac zenon_H163 zenon_H357 zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H2c zenon_H14 zenon_H1e4. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.65/83.81 apply (zenon_L90_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.65/83.81 apply (zenon_L333_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.65/83.81 apply (zenon_L105_); trivial. % 83.65/83.81 apply (zenon_L331_); trivial. % 83.65/83.81 (* end of lemma zenon_L334_ *) % 83.65/83.81 assert (zenon_L335_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1c8 zenon_H53 zenon_H45 zenon_H56 zenon_H16c zenon_H1f4 zenon_H161 zenon_H3f zenon_H2e zenon_H16 zenon_H1b9 zenon_H1ba zenon_H25 zenon_H17 zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H230 zenon_H3ac zenon_H163 zenon_H357 zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H2c zenon_H14 zenon_H1e4. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.81 apply (zenon_L20_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.81 apply (zenon_L332_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.81 apply (zenon_L323_); trivial. % 83.65/83.81 apply (zenon_L334_); trivial. % 83.65/83.81 (* end of lemma zenon_L335_ *) % 83.65/83.81 assert (zenon_L336_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H14 zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H1a6 zenon_H1a5 zenon_H2e. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ]. % 83.65/83.81 apply (zenon_L323_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ]. % 83.65/83.81 apply (zenon_L318_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ]. % 83.65/83.81 apply (zenon_L100_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.81 apply (zenon_L101_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.81 apply (zenon_L98_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.81 apply (zenon_L106_); trivial. % 83.65/83.81 apply (zenon_L110_); trivial. % 83.65/83.81 (* end of lemma zenon_L336_ *) % 83.65/83.81 assert (zenon_L337_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H357 zenon_H2cd zenon_H2e zenon_H1a5 zenon_H1a6 zenon_H3f zenon_H18e zenon_H1b6 zenon_H3ac zenon_H1ba zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.81 apply (zenon_L320_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.81 apply (zenon_L336_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.81 apply (zenon_L325_); trivial. % 83.65/83.81 apply (zenon_L17_); trivial. % 83.65/83.81 (* end of lemma zenon_L337_ *) % 83.65/83.81 assert (zenon_L338_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1e4 zenon_H357 zenon_H3ac zenon_H230 zenon_H3b1 zenon_H1d4 zenon_H3a8 zenon_H50 zenon_H1ba zenon_H1b9 zenon_H16 zenon_H161 zenon_H1f4 zenon_H56 zenon_H45 zenon_H1c8 zenon_H244 zenon_H3a3 zenon_H187 zenon_H1b6 zenon_H18e zenon_H181 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H1aa zenon_H198 zenon_H3f zenon_H195 zenon_H163 zenon_H1b0 zenon_H2e. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ]. % 83.65/83.81 apply (zenon_L335_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ]. % 83.65/83.81 apply (zenon_L318_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ]. % 83.65/83.81 apply (zenon_L100_); trivial. % 83.65/83.81 apply (zenon_L111_); trivial. % 83.65/83.81 (* end of lemma zenon_L338_ *) % 83.65/83.81 assert (zenon_L339_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False). % 83.65/83.81 do 0 intro. intros zenon_H256 zenon_H3a zenon_H42 zenon_H200 zenon_H1ab zenon_H230 zenon_H14 zenon_H17 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H252 zenon_H194. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.65/83.81 apply (zenon_L21_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.65/83.81 apply (zenon_L159_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.65/83.81 apply (zenon_L325_); trivial. % 83.65/83.81 apply (zenon_L288_); trivial. % 83.65/83.81 (* end of lemma zenon_L339_ *) % 83.65/83.81 assert (zenon_L340_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H56 zenon_H194 zenon_H252 zenon_H3a8 zenon_H1d4 zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H230 zenon_H1ab zenon_H200 zenon_H256 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.81 apply (zenon_L339_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.81 apply (zenon_L15_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.81 apply (zenon_L17_); trivial. % 83.65/83.81 apply (zenon_L19_); trivial. % 83.65/83.81 (* end of lemma zenon_L340_ *) % 83.65/83.81 assert (zenon_L341_ : ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H16c zenon_H162 zenon_H3b3. % 83.65/83.81 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ]. % 83.65/83.81 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H3b3. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H18f. % 83.65/83.81 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 83.65/83.81 cut (((op1 (e12) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3b4]. % 83.65/83.81 congruence. % 83.65/83.81 cut (((op1 (e12) (e10)) = (e11)) = ((op1 (e12) (e10)) = (op1 (e11) (e10)))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H3b4. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H16c. % 83.65/83.81 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30d]. % 83.65/83.81 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 83.65/83.81 congruence. % 83.65/83.81 apply zenon_H190. apply refl_equal. % 83.65/83.81 apply zenon_H30d. apply sym_equal. exact zenon_H162. % 83.65/83.81 apply zenon_H190. apply refl_equal. % 83.65/83.81 apply zenon_H190. apply refl_equal. % 83.65/83.81 (* end of lemma zenon_L341_ *) % 83.65/83.81 assert (zenon_L342_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1c8 zenon_H53 zenon_H45 zenon_H56 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H187 zenon_H244 zenon_H3a3 zenon_H230 zenon_H163 zenon_H357 zenon_H1a0 zenon_H3b3 zenon_H1f4 zenon_H16c zenon_H3ac zenon_H1bf zenon_H194. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.81 apply (zenon_L20_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.65/83.81 apply (zenon_L341_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.65/83.81 apply (zenon_L180_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.65/83.81 apply (zenon_L105_); trivial. % 83.65/83.81 apply (zenon_L329_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.81 apply (zenon_L323_); trivial. % 83.65/83.81 apply (zenon_L247_); trivial. % 83.65/83.81 (* end of lemma zenon_L342_ *) % 83.65/83.81 assert (zenon_L343_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H249 zenon_H1e zenon_H163 zenon_H194 zenon_H1c8 zenon_H53 zenon_H45 zenon_H56 zenon_H25 zenon_H17 zenon_H49 zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H187 zenon_H3a3 zenon_H230 zenon_H357 zenon_H1a0 zenon_H3b3 zenon_H1f4 zenon_H3ac zenon_H1bf zenon_H24d zenon_H42 zenon_H2e zenon_H1f3 zenon_H14 zenon_H2c zenon_H3a. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.81 apply (zenon_L7_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.81 apply (zenon_L9_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.81 apply (zenon_L7_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.81 apply (zenon_L157_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.81 apply (zenon_L342_); trivial. % 83.65/83.81 apply (zenon_L102_); trivial. % 83.65/83.81 apply (zenon_L10_); trivial. % 83.65/83.81 (* end of lemma zenon_L343_ *) % 83.65/83.81 assert (zenon_L344_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H249 zenon_H1e zenon_H1e4 zenon_H187 zenon_H3a3 zenon_H1a0 zenon_H357 zenon_H163 zenon_H3ac zenon_H230 zenon_H3b1 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H49 zenon_H17 zenon_H25 zenon_H1ba zenon_H1b9 zenon_H16 zenon_H2e zenon_H3f zenon_H161 zenon_H1f4 zenon_H260 zenon_H56 zenon_H45 zenon_H53 zenon_H1c8 zenon_H14 zenon_H2c zenon_H3a. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.81 apply (zenon_L7_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.81 apply (zenon_L9_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.81 apply (zenon_L20_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.81 apply (zenon_L332_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.81 apply (zenon_L166_); trivial. % 83.65/83.81 apply (zenon_L334_); trivial. % 83.65/83.81 apply (zenon_L10_); trivial. % 83.65/83.81 (* end of lemma zenon_L344_ *) % 83.65/83.81 assert (zenon_L345_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((e12) = (e13))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H256 zenon_H200 zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H252 zenon_H194 zenon_H56 zenon_H1e5 zenon_H25a. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.81 apply (zenon_L177_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.81 apply (zenon_L147_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.81 apply (zenon_L340_); trivial. % 83.65/83.81 apply (zenon_L162_); trivial. % 83.65/83.81 (* end of lemma zenon_L345_ *) % 83.65/83.81 assert (zenon_L346_ : (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> ((op1 (e13) (e11)) = (e11)) -> False). % 83.65/83.81 do 0 intro. intros zenon_H236 zenon_H162 zenon_H260 zenon_H1c0. % 83.65/83.81 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H236. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H162. % 83.65/83.81 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c1]. % 83.65/83.81 cut (((op1 (e11) (e10)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H262]. % 83.65/83.81 congruence. % 83.65/83.81 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 83.65/83.81 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e11) (e10)) = (op1 (e10) (e11)))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H262. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H36. % 83.65/83.81 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 83.65/83.81 cut (((op1 (e10) (e11)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H263]. % 83.65/83.81 congruence. % 83.65/83.81 exact (zenon_H263 zenon_H260). % 83.65/83.81 apply zenon_H37. apply refl_equal. % 83.65/83.81 apply zenon_H37. apply refl_equal. % 83.65/83.81 apply zenon_H1c1. apply sym_equal. exact zenon_H1c0. % 83.65/83.81 (* end of lemma zenon_L346_ *) % 83.65/83.81 assert (zenon_L347_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H249 zenon_H2e zenon_H1e zenon_H1e4 zenon_H187 zenon_H3a3 zenon_H1a0 zenon_H357 zenon_H163 zenon_H3ac zenon_H230 zenon_H3b1 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H49 zenon_H17 zenon_H25 zenon_H1ba zenon_H266 zenon_H161 zenon_H1f4 zenon_H14 zenon_H2c zenon_H3a. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.81 apply (zenon_L7_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.81 apply (zenon_L9_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.65/83.81 apply (zenon_L90_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.65/83.81 apply (zenon_L170_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.65/83.81 apply (zenon_L105_); trivial. % 83.65/83.81 apply (zenon_L331_); trivial. % 83.65/83.81 apply (zenon_L10_); trivial. % 83.65/83.81 (* end of lemma zenon_L347_ *) % 83.65/83.81 assert (zenon_L348_ : (~((op1 (e12) (op1 (e11) (e11))) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> False). % 83.65/83.81 do 0 intro. intros zenon_H3b5 zenon_H17f. % 83.65/83.81 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H180]. % 83.65/83.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.65/83.81 congruence. % 83.65/83.81 apply zenon_H2b. apply refl_equal. % 83.65/83.81 exact (zenon_H180 zenon_H17f). % 83.65/83.81 (* end of lemma zenon_L348_ *) % 83.65/83.81 assert (zenon_L349_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e12) (op1 (e11) (e11))) = (e12))) -> (~((e11) = (e12))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H14 zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H17f zenon_H3b6 zenon_H2e. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ]. % 83.65/83.81 apply (zenon_L323_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ]. % 83.65/83.81 apply (zenon_L318_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ]. % 83.65/83.81 apply (zenon_L100_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.81 apply (zenon_L101_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.81 apply (zenon_L98_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.81 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (op1 (e11) (e11))) = (e12))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H3b6. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H1a7. % 83.65/83.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.65/83.81 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b7]. % 83.65/83.81 congruence. % 83.65/83.81 elim (classic ((op1 (e12) (op1 (e11) (e11))) = (op1 (e12) (op1 (e11) (e11))))); [ zenon_intro zenon_H3b8 | zenon_intro zenon_H3b9 ]. % 83.65/83.81 cut (((op1 (e12) (op1 (e11) (e11))) = (op1 (e12) (op1 (e11) (e11)))) = ((op1 (e12) (e12)) = (op1 (e12) (op1 (e11) (e11))))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H3b7. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H3b8. % 83.65/83.81 cut (((op1 (e12) (op1 (e11) (e11))) = (op1 (e12) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b9]. % 83.65/83.81 cut (((op1 (e12) (op1 (e11) (e11))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3b5]. % 83.65/83.81 congruence. % 83.65/83.81 apply (zenon_L348_); trivial. % 83.65/83.81 apply zenon_H3b9. apply refl_equal. % 83.65/83.81 apply zenon_H3b9. apply refl_equal. % 83.65/83.81 apply zenon_H2b. apply refl_equal. % 83.65/83.81 apply (zenon_L110_); trivial. % 83.65/83.81 (* end of lemma zenon_L349_ *) % 83.65/83.81 assert (zenon_L350_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (op1 (e11) (e11))) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H357 zenon_H2cd zenon_H2e zenon_H3b6 zenon_H17f zenon_H3f zenon_H18e zenon_H1b6 zenon_H3ac zenon_H1ba zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.81 apply (zenon_L320_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.81 apply (zenon_L349_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.81 apply (zenon_L325_); trivial. % 83.65/83.81 apply (zenon_L17_); trivial. % 83.65/83.81 (* end of lemma zenon_L350_ *) % 83.65/83.81 assert (zenon_L351_ : ((op1 (e11) (e11)) = (e11)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (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 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (op1 (e11) (e12))) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((e12) = (e13))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H17e zenon_H25d zenon_H2e zenon_H1b0 zenon_H163 zenon_H195 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H19a zenon_H1ad zenon_H181 zenon_H18e zenon_H1b6 zenon_H187 zenon_H3a3 zenon_H244 zenon_H1c8 zenon_H1f4 zenon_H161 zenon_H16 zenon_H1b9 zenon_H1ba zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H230 zenon_H3ac zenon_H357 zenon_H1e4 zenon_H229 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H26b zenon_H56 zenon_H1e5 zenon_H25a. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ]. % 83.65/83.81 apply (zenon_L95_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ]. % 83.65/83.81 apply (zenon_L97_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ]. % 83.65/83.81 apply (zenon_L98_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.81 apply (zenon_L338_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.81 apply (zenon_L147_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.81 apply (zenon_L300_); trivial. % 83.65/83.81 apply (zenon_L162_); trivial. % 83.65/83.81 (* end of lemma zenon_L351_ *) % 83.65/83.81 assert (zenon_L352_ : (~((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e10)))) -> ((op1 (e11) (e12)) = (e10)) -> False). % 83.65/83.81 do 0 intro. intros zenon_H3ba zenon_H19b. % 83.65/83.81 cut (((op1 (e11) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3bb]. % 83.65/83.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.81 congruence. % 83.65/83.81 apply zenon_H165. apply refl_equal. % 83.65/83.81 exact (zenon_H3bb zenon_H19b). % 83.65/83.81 (* end of lemma zenon_L352_ *) % 83.65/83.81 assert (zenon_L353_ : (~((op1 (e11) (op1 (e11) (e12))) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e12)) = (e10)) -> False). % 83.65/83.81 do 0 intro. intros zenon_H271 zenon_H162 zenon_H19b. % 83.65/83.81 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (op1 (e11) (e12))) = (e11))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H271. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H162. % 83.65/83.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.81 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3bc]. % 83.65/83.81 congruence. % 83.65/83.81 elim (classic ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [ zenon_intro zenon_H323 | zenon_intro zenon_H324 ]. % 83.65/83.81 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12)))) = ((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e12))))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H3bc. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H323. % 83.65/83.81 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H324]. % 83.65/83.81 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3ba]. % 83.65/83.81 congruence. % 83.65/83.81 apply (zenon_L352_); trivial. % 83.65/83.81 apply zenon_H324. apply refl_equal. % 83.65/83.81 apply zenon_H324. apply refl_equal. % 83.65/83.81 apply zenon_H165. apply refl_equal. % 83.65/83.81 (* end of lemma zenon_L353_ *) % 83.65/83.81 assert (zenon_L354_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (op1 (e11) (e12))) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False). % 83.65/83.81 do 0 intro. intros zenon_H256 zenon_H3a zenon_H42 zenon_H162 zenon_H271 zenon_H181 zenon_H1d4 zenon_H252 zenon_H194. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.65/83.81 apply (zenon_L21_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.65/83.81 apply (zenon_L353_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.65/83.81 apply (zenon_L117_); trivial. % 83.65/83.81 apply (zenon_L288_); trivial. % 83.65/83.81 (* end of lemma zenon_L354_ *) % 83.65/83.81 assert (zenon_L355_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e11) (op1 (e11) (e12))) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H56 zenon_H194 zenon_H252 zenon_H1d4 zenon_H181 zenon_H271 zenon_H162 zenon_H256 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.81 apply (zenon_L354_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.81 apply (zenon_L15_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.81 apply (zenon_L17_); trivial. % 83.65/83.81 apply (zenon_L19_); trivial. % 83.65/83.81 (* end of lemma zenon_L355_ *) % 83.65/83.81 assert (zenon_L356_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e11)) = (e11)) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e11) (e13))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H17e zenon_H2e zenon_H1a5 zenon_H14 zenon_H187 zenon_H3a3 zenon_H244 zenon_H1a0 zenon_H3ac zenon_H1ba zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H27d zenon_H1e4. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.81 apply (zenon_L116_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.81 apply (zenon_L97_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.81 apply (zenon_L336_); trivial. % 83.65/83.81 apply (zenon_L186_); trivial. % 83.65/83.81 (* end of lemma zenon_L356_ *) % 83.65/83.81 assert (zenon_L357_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e12) (op1 (e11) (e13))) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1f4 zenon_H161 zenon_H27d zenon_H181 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a5 zenon_H2e zenon_H1cf zenon_H1e8 zenon_H1ba zenon_H25 zenon_H17 zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H230 zenon_H3ac zenon_H163 zenon_H357 zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H2c zenon_H14 zenon_H1e4. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.65/83.81 apply (zenon_L90_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.65/83.81 apply (zenon_L356_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.65/83.81 apply (zenon_L105_); trivial. % 83.65/83.81 apply (zenon_L331_); trivial. % 83.65/83.81 (* end of lemma zenon_L357_ *) % 83.65/83.81 assert (zenon_L358_ : ((op1 (e13) (e11)) = (op1 (e11) (e13))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (op1 (e11) (e13))) = (e11))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H284 zenon_H1c0 zenon_H259 zenon_H288. % 83.65/83.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ]. % 83.65/83.81 cut (((e11) = (e11)) = ((op1 (e11) (op1 (e11) (e13))) = (e11))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H288. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H164. % 83.65/83.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.81 cut (((e11) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3bd]. % 83.65/83.81 congruence. % 83.65/83.81 cut (((op1 (e13) (e11)) = (op1 (e11) (e13))) = ((e11) = (op1 (e11) (op1 (e11) (e13))))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H3bd. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H284. % 83.65/83.81 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3be]. % 83.65/83.81 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3bf]. % 83.65/83.81 congruence. % 83.65/83.81 exact (zenon_H3bf zenon_H1c0). % 83.65/83.81 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33e]. % 83.65/83.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.81 congruence. % 83.65/83.81 apply zenon_H165. apply refl_equal. % 83.65/83.81 apply zenon_H33e. apply sym_equal. exact zenon_H259. % 83.65/83.81 apply zenon_H165. apply refl_equal. % 83.65/83.81 apply zenon_H165. apply refl_equal. % 83.65/83.81 (* end of lemma zenon_L358_ *) % 83.65/83.81 assert (zenon_L359_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e11)) = (op1 (e11) (e13))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e11) (op1 (e11) (e13))) = (e11))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H256 zenon_H200 zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H252 zenon_H194 zenon_H56 zenon_H284 zenon_H1c0 zenon_H288. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.81 apply (zenon_L177_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.81 apply (zenon_L147_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.81 apply (zenon_L340_); trivial. % 83.65/83.81 apply (zenon_L358_); trivial. % 83.65/83.81 (* end of lemma zenon_L359_ *) % 83.65/83.81 assert (zenon_L360_ : (((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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e11)) = (op1 (e11) (e13))) -> (~((op1 (e11) (op1 (e11) (e13))) = (e11))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H163 zenon_H177 zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H256 zenon_H200 zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H252 zenon_H194 zenon_H56 zenon_H284 zenon_H288. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.81 apply (zenon_L9_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.81 apply (zenon_L180_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.81 apply (zenon_L318_); trivial. % 83.65/83.81 apply (zenon_L359_); trivial. % 83.65/83.81 (* end of lemma zenon_L360_ *) % 83.65/83.81 assert (zenon_L361_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (op1 (e11) (e13))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e11) (op1 (e11) (e13))) = (e11))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H14 zenon_H17 zenon_H200 zenon_H19b zenon_H284 zenon_H1c0 zenon_H288. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.81 apply (zenon_L177_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.81 apply (zenon_L147_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.81 apply (zenon_L159_); trivial. % 83.65/83.81 apply (zenon_L358_); trivial. % 83.65/83.81 (* end of lemma zenon_L361_ *) % 83.65/83.81 assert (zenon_L362_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (op1 (e11) (e13))) -> (~((op1 (e11) (op1 (e11) (e13))) = (e11))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1c9 zenon_H2c zenon_H1e zenon_H163 zenon_H177 zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H14 zenon_H17 zenon_H200 zenon_H19b zenon_H284 zenon_H288. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.81 apply (zenon_L9_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.81 apply (zenon_L180_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.81 apply (zenon_L318_); trivial. % 83.65/83.81 apply (zenon_L361_); trivial. % 83.65/83.81 (* end of lemma zenon_L362_ *) % 83.65/83.81 assert (zenon_L363_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (op1 (e12) (e10))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 83.65/83.81 do 0 intro. intros zenon_H35d zenon_H181 zenon_H2cd zenon_H1e4 zenon_H14 zenon_H187 zenon_H3a3 zenon_H244 zenon_H1a0 zenon_H357 zenon_H163 zenon_H3ac zenon_H230 zenon_H3b1 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H17 zenon_H25 zenon_H1ba zenon_H1b9 zenon_H16 zenon_H2e zenon_H3f zenon_H161 zenon_H1f4 zenon_H56 zenon_H45 zenon_H53 zenon_H1c8 zenon_H18e zenon_H2c zenon_H28f zenon_H42. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ]. % 83.65/83.81 apply (zenon_L218_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ]. % 83.65/83.81 apply (zenon_L335_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ]. % 83.65/83.81 apply (zenon_L101_); trivial. % 83.65/83.81 apply (zenon_L191_); trivial. % 83.65/83.81 (* end of lemma zenon_L363_ *) % 83.65/83.81 assert (zenon_L364_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> False). % 83.65/83.81 do 0 intro. intros zenon_H35d zenon_H230 zenon_H14 zenon_H17 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H2cd zenon_H3a8 zenon_H181 zenon_H3ac zenon_H18e zenon_H2c zenon_H1d8 zenon_H1da. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ]. % 83.65/83.81 apply (zenon_L320_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ]. % 83.65/83.81 apply (zenon_L323_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ]. % 83.65/83.81 apply (zenon_L101_); trivial. % 83.65/83.81 apply (zenon_L118_); trivial. % 83.65/83.81 (* end of lemma zenon_L364_ *) % 83.65/83.81 assert (zenon_L365_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False). % 83.65/83.81 do 0 intro. intros zenon_H365 zenon_H42 zenon_H28f zenon_H1d8 zenon_H2c zenon_H18e zenon_H3ac zenon_H181 zenon_H3a8 zenon_H2cd zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H17 zenon_H14 zenon_H230 zenon_H35d zenon_H1e4 zenon_H259. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ]. % 83.65/83.81 apply (zenon_L191_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ]. % 83.65/83.81 apply (zenon_L148_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ]. % 83.65/83.81 apply (zenon_L364_); trivial. % 83.65/83.81 apply (zenon_L294_); trivial. % 83.65/83.81 (* end of lemma zenon_L365_ *) % 83.65/83.81 assert (zenon_L366_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (op1 (e12) (e10))) = (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)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H56 zenon_H259 zenon_H1e4 zenon_H35d zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H2cd zenon_H3a8 zenon_H181 zenon_H3ac zenon_H18e zenon_H1d8 zenon_H28f zenon_H365 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.81 apply (zenon_L365_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.81 apply (zenon_L15_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.81 apply (zenon_L17_); trivial. % 83.65/83.81 apply (zenon_L19_); trivial. % 83.65/83.81 (* end of lemma zenon_L366_ *) % 83.65/83.81 assert (zenon_L367_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (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 (e10) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H357 zenon_H1e zenon_H2e zenon_H249 zenon_H53 zenon_H45 zenon_H365 zenon_H28f zenon_H1d8 zenon_H18e zenon_H3ac zenon_H2cd zenon_H35d zenon_H1e4 zenon_H259 zenon_H56 zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.81 apply (zenon_L321_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.81 apply (zenon_L366_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.81 apply (zenon_L325_); trivial. % 83.65/83.81 apply (zenon_L17_); trivial. % 83.65/83.81 (* end of lemma zenon_L367_ *) % 83.65/83.81 assert (zenon_L368_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H357 zenon_H2cd zenon_H1e zenon_H2e zenon_H249 zenon_H162 zenon_H299 zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.81 apply (zenon_L321_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.81 apply (zenon_L195_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.81 apply (zenon_L325_); trivial. % 83.65/83.81 apply (zenon_L17_); trivial. % 83.65/83.81 (* end of lemma zenon_L368_ *) % 83.65/83.81 assert (zenon_L369_ : (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e12) (e11))) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H163 zenon_H194 zenon_H1c8 zenon_H53 zenon_H45 zenon_H56 zenon_H25 zenon_H17 zenon_H49 zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H187 zenon_H3a3 zenon_H230 zenon_H357 zenon_H1a0 zenon_H3b3 zenon_H1f4 zenon_H3ac zenon_H1bf zenon_H2cd zenon_H1e zenon_H2e zenon_H249 zenon_H299 zenon_H1f3 zenon_H14 zenon_H2c zenon_H3a. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.81 apply (zenon_L7_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.81 apply (zenon_L9_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.81 apply (zenon_L7_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.81 apply (zenon_L368_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.81 apply (zenon_L342_); trivial. % 83.65/83.81 apply (zenon_L102_); trivial. % 83.65/83.81 apply (zenon_L10_); trivial. % 83.65/83.81 (* end of lemma zenon_L369_ *) % 83.65/83.81 assert (zenon_L370_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e12))) = (e12))) -> (~((e11) = (e12))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H14 zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H2ac zenon_H2e. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ]. % 83.65/83.81 apply (zenon_L323_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ]. % 83.65/83.81 apply (zenon_L318_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ]. % 83.65/83.81 apply (zenon_L100_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.81 apply (zenon_L101_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.81 apply (zenon_L98_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.81 apply (zenon_L200_); trivial. % 83.65/83.81 apply (zenon_L110_); trivial. % 83.65/83.81 (* end of lemma zenon_L370_ *) % 83.65/83.81 assert (zenon_L371_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e13) (e12)) = (op1 (e12) (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1ba zenon_H181 zenon_H3ac zenon_H1a0 zenon_H3a3 zenon_H187 zenon_H2c zenon_H14 zenon_H2bc zenon_H244 zenon_H204. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ]. % 83.65/83.81 apply (zenon_L323_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ]. % 83.65/83.81 apply (zenon_L318_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ]. % 83.65/83.81 apply (zenon_L100_); trivial. % 83.65/83.81 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.65/83.81 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H204. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H205. % 83.65/83.81 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.65/83.81 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H207]. % 83.65/83.81 congruence. % 83.65/83.81 cut (((op1 (e12) (e13)) = (e11)) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H207. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H1b3. % 83.65/83.81 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2ee]. % 83.65/83.81 cut (((op1 (e12) (e13)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2d6]. % 83.65/83.81 congruence. % 83.65/83.81 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.65/83.81 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e13)) = (op1 (e13) (e12)))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H2d6. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H205. % 83.65/83.81 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.65/83.81 cut (((op1 (e13) (e12)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c1]. % 83.65/83.81 congruence. % 83.65/83.81 exact (zenon_H2c1 zenon_H2bc). % 83.65/83.81 apply zenon_H206. apply refl_equal. % 83.65/83.81 apply zenon_H206. apply refl_equal. % 83.65/83.81 apply zenon_H2ee. apply sym_equal. exact zenon_H244. % 83.65/83.81 apply zenon_H206. apply refl_equal. % 83.65/83.81 apply zenon_H206. apply refl_equal. % 83.65/83.81 (* end of lemma zenon_L371_ *) % 83.65/83.81 assert (zenon_L372_ : (~((op1 (e11) (op1 (e13) (e10))) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> False). % 83.65/83.81 do 0 intro. intros zenon_H3c0 zenon_H194. % 83.65/83.81 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c1]. % 83.65/83.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.81 congruence. % 83.65/83.81 apply zenon_H165. apply refl_equal. % 83.65/83.81 exact (zenon_H3c1 zenon_H194). % 83.65/83.81 (* end of lemma zenon_L372_ *) % 83.65/83.81 assert (zenon_L373_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (op1 (e13) (e10))) = (e11))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H249 zenon_H1e zenon_H163 zenon_H194 zenon_H1c8 zenon_H53 zenon_H45 zenon_H56 zenon_H25 zenon_H17 zenon_H49 zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H187 zenon_H3a3 zenon_H230 zenon_H357 zenon_H1a0 zenon_H3b3 zenon_H1f4 zenon_H3ac zenon_H1bf zenon_H3c2 zenon_H2e zenon_H1f3 zenon_H14 zenon_H2c zenon_H3a. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.81 apply (zenon_L7_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.81 apply (zenon_L9_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.81 apply (zenon_L7_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.81 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (op1 (e13) (e10))) = (e11))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H3c2. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H162. % 83.65/83.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.81 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3c3]. % 83.65/83.81 congruence. % 83.65/83.81 elim (classic ((op1 (e11) (op1 (e13) (e10))) = (op1 (e11) (op1 (e13) (e10))))); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H3c5 ]. % 83.65/83.81 cut (((op1 (e11) (op1 (e13) (e10))) = (op1 (e11) (op1 (e13) (e10)))) = ((op1 (e11) (e10)) = (op1 (e11) (op1 (e13) (e10))))). % 83.65/83.81 intro zenon_D_pnotp. % 83.65/83.81 apply zenon_H3c3. % 83.65/83.81 rewrite <- zenon_D_pnotp. % 83.65/83.81 exact zenon_H3c4. % 83.65/83.81 cut (((op1 (e11) (op1 (e13) (e10))) = (op1 (e11) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3c5]. % 83.65/83.81 cut (((op1 (e11) (op1 (e13) (e10))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c0]. % 83.65/83.81 congruence. % 83.65/83.81 apply (zenon_L372_); trivial. % 83.65/83.81 apply zenon_H3c5. apply refl_equal. % 83.65/83.81 apply zenon_H3c5. apply refl_equal. % 83.65/83.81 apply zenon_H165. apply refl_equal. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.81 apply (zenon_L342_); trivial. % 83.65/83.81 apply (zenon_L102_); trivial. % 83.65/83.81 apply (zenon_L10_); trivial. % 83.65/83.81 (* end of lemma zenon_L373_ *) % 83.65/83.81 assert (zenon_L374_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H1a5 zenon_H14 zenon_H187 zenon_H3a3 zenon_H244 zenon_H1a0 zenon_H3ac zenon_H1ba zenon_H1b9 zenon_H16 zenon_H2e zenon_H17e zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H2c9 zenon_H1e4. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.81 apply (zenon_L116_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.81 apply (zenon_L97_); trivial. % 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.81 apply (zenon_L336_); trivial. % 83.65/83.81 apply (zenon_L216_); trivial. % 83.65/83.81 (* end of lemma zenon_L374_ *) % 83.65/83.81 assert (zenon_L375_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False). % 83.65/83.81 do 0 intro. intros zenon_H249 zenon_H1e zenon_H1e4 zenon_H187 zenon_H3a3 zenon_H1a0 zenon_H357 zenon_H163 zenon_H3ac zenon_H230 zenon_H3b1 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H49 zenon_H17 zenon_H25 zenon_H1ba zenon_H1b9 zenon_H16 zenon_H2e zenon_H3f zenon_H161 zenon_H1f4 zenon_H2c9 zenon_H18e zenon_H1b6 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H56 zenon_H45 zenon_H53 zenon_H1c8 zenon_H14 zenon_H2c zenon_H3a. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.82 apply (zenon_L20_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.82 apply (zenon_L332_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.65/83.82 apply (zenon_L90_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.65/83.82 apply (zenon_L374_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.65/83.82 apply (zenon_L105_); trivial. % 83.65/83.82 apply (zenon_L331_); trivial. % 83.65/83.82 apply (zenon_L334_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 (* end of lemma zenon_L375_ *) % 83.65/83.82 assert (zenon_L376_ : (~((e13) = (e13))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H1f0. % 83.65/83.82 apply zenon_H1f0. apply refl_equal. % 83.65/83.82 (* end of lemma zenon_L376_ *) % 83.65/83.82 assert (zenon_L377_ : ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e13))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H2c7 zenon_H259 zenon_H1c0 zenon_H2d4. % 83.65/83.82 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ]. % 83.65/83.82 cut (((e13) = (e13)) = ((op1 (e13) (op1 (e13) (e11))) = (e13))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H2d4. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H1ef. % 83.65/83.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.82 cut (((e13) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c6]. % 83.65/83.82 congruence. % 83.65/83.82 cut (((op1 (e11) (e13)) = (op1 (e13) (e11))) = ((e13) = (op1 (e13) (op1 (e13) (e11))))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H3c6. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H2c7. % 83.65/83.82 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c7]. % 83.65/83.82 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H25c]. % 83.65/83.82 congruence. % 83.65/83.82 exact (zenon_H25c zenon_H259). % 83.65/83.82 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c1]. % 83.65/83.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.82 congruence. % 83.65/83.82 apply zenon_H1f0. apply refl_equal. % 83.65/83.82 apply zenon_H1c1. apply sym_equal. exact zenon_H1c0. % 83.65/83.82 apply zenon_H1f0. apply refl_equal. % 83.65/83.82 apply zenon_H1f0. apply refl_equal. % 83.65/83.82 (* end of lemma zenon_L377_ *) % 83.65/83.82 assert (zenon_L378_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e13))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H14 zenon_H17 zenon_H200 zenon_H19b zenon_H2c7 zenon_H1c0 zenon_H2d4. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.82 apply (zenon_L177_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.82 apply (zenon_L147_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.82 apply (zenon_L159_); trivial. % 83.65/83.82 apply (zenon_L377_); trivial. % 83.65/83.82 (* end of lemma zenon_L378_ *) % 83.65/83.82 assert (zenon_L379_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e13)) = (op1 (e13) (e12))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H56 zenon_H2d5 zenon_H19c zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.82 apply (zenon_L221_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.82 apply (zenon_L15_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 (* end of lemma zenon_L379_ *) % 83.65/83.82 assert (zenon_L380_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e13)) = (op1 (e13) (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 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H1b0 zenon_H163 zenon_H195 zenon_H3f zenon_H198 zenon_H50 zenon_H45 zenon_H2d5 zenon_H56 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.65/83.82 apply (zenon_L102_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.65/83.82 apply (zenon_L103_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L379_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 (* end of lemma zenon_L380_ *) % 83.65/83.82 assert (zenon_L381_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> ((op1 (e11) (e12)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H365 zenon_H42 zenon_H36f zenon_H19b zenon_H200 zenon_H1e zenon_H373 zenon_H1d8 zenon_H2c zenon_H18e zenon_H3ac zenon_H181 zenon_H3a8 zenon_H2cd zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H17 zenon_H14 zenon_H230 zenon_H35d zenon_H1e4 zenon_H259. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ]. % 83.65/83.82 apply (zenon_L310_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ]. % 83.65/83.82 apply (zenon_L148_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ]. % 83.65/83.82 apply (zenon_L364_); trivial. % 83.65/83.82 apply (zenon_L294_); trivial. % 83.65/83.82 (* end of lemma zenon_L381_ *) % 83.65/83.82 assert (zenon_L382_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> ((op1 (e11) (e12)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H365 zenon_H42 zenon_H36f zenon_H19b zenon_H200 zenon_H1e zenon_H373 zenon_H1d8 zenon_H2c zenon_H18e zenon_H3ac zenon_H181 zenon_H3a8 zenon_H2cd zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H17 zenon_H14 zenon_H230 zenon_H35d zenon_H1e4. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.82 apply (zenon_L177_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.82 apply (zenon_L147_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.82 apply (zenon_L159_); trivial. % 83.65/83.82 apply (zenon_L381_); trivial. % 83.65/83.82 (* end of lemma zenon_L382_ *) % 83.65/83.82 assert (zenon_L383_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H256 zenon_H3a zenon_H1e4 zenon_H35d zenon_H230 zenon_H14 zenon_H17 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H2cd zenon_H3a8 zenon_H3ac zenon_H18e zenon_H2c zenon_H1d8 zenon_H373 zenon_H1e zenon_H200 zenon_H36f zenon_H42 zenon_H365 zenon_H229 zenon_H162 zenon_H1ee zenon_H25d zenon_H181 zenon_H1d4 zenon_H252 zenon_H194. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.65/83.82 apply (zenon_L21_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.65/83.82 apply (zenon_L382_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.65/83.82 apply (zenon_L117_); trivial. % 83.65/83.82 apply (zenon_L288_); trivial. % 83.65/83.82 (* end of lemma zenon_L383_ *) % 83.65/83.82 assert (zenon_L384_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H56 zenon_H194 zenon_H252 zenon_H1d4 zenon_H181 zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H365 zenon_H36f zenon_H200 zenon_H1e zenon_H373 zenon_H1d8 zenon_H18e zenon_H3ac zenon_H3a8 zenon_H2cd zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H230 zenon_H35d zenon_H1e4 zenon_H256 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.82 apply (zenon_L383_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.82 apply (zenon_L15_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 (* end of lemma zenon_L384_ *) % 83.65/83.82 assert (zenon_L385_ : (~((op1 (e11) (op1 (e13) (e13))) = (op1 (e11) (e11)))) -> ((op1 (e13) (e13)) = (e11)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3c8 zenon_H20b. % 83.65/83.82 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3c9]. % 83.65/83.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.82 congruence. % 83.65/83.82 apply zenon_H165. apply refl_equal. % 83.65/83.82 exact (zenon_H3c9 zenon_H20b). % 83.65/83.82 (* end of lemma zenon_L385_ *) % 83.65/83.82 assert (zenon_L386_ : (~((op1 (e11) (op1 (e13) (e13))) = (e11))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3a0 zenon_H17e zenon_H20b. % 83.65/83.82 cut (((op1 (e11) (e11)) = (e11)) = ((op1 (e11) (op1 (e13) (e13))) = (e11))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H3a0. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H17e. % 83.65/83.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.82 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3ca]. % 83.65/83.82 congruence. % 83.65/83.82 elim (classic ((op1 (e11) (op1 (e13) (e13))) = (op1 (e11) (op1 (e13) (e13))))); [ zenon_intro zenon_H3cb | zenon_intro zenon_H3cc ]. % 83.65/83.82 cut (((op1 (e11) (op1 (e13) (e13))) = (op1 (e11) (op1 (e13) (e13)))) = ((op1 (e11) (e11)) = (op1 (e11) (op1 (e13) (e13))))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H3ca. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H3cb. % 83.65/83.82 cut (((op1 (e11) (op1 (e13) (e13))) = (op1 (e11) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3cc]. % 83.65/83.82 cut (((op1 (e11) (op1 (e13) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3c8]. % 83.65/83.82 congruence. % 83.65/83.82 apply (zenon_L385_); trivial. % 83.65/83.82 apply zenon_H3cc. apply refl_equal. % 83.65/83.82 apply zenon_H3cc. apply refl_equal. % 83.65/83.82 apply zenon_H165. apply refl_equal. % 83.65/83.82 (* end of lemma zenon_L386_ *) % 83.65/83.82 assert (zenon_L387_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (op1 (e13) (e13))) = (e11))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H2e3 zenon_H53 zenon_H17e zenon_H3a0 zenon_H1e5 zenon_H343 zenon_H2df zenon_H42. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e4 ]. % 83.65/83.82 apply (zenon_L18_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H20b | zenon_intro zenon_H2e5 ]. % 83.65/83.82 apply (zenon_L386_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2da | zenon_intro zenon_H2dd ]. % 83.65/83.82 apply (zenon_L265_); trivial. % 83.65/83.82 apply (zenon_L225_); trivial. % 83.65/83.82 (* end of lemma zenon_L387_ *) % 83.65/83.82 assert (zenon_L388_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (op1 (e13) (e13))) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H230 zenon_H1ba zenon_H3ac zenon_H1b6 zenon_H18e zenon_H3f zenon_H1a5 zenon_H2e zenon_H2cd zenon_H357 zenon_H2e3 zenon_H53 zenon_H17e zenon_H3a0 zenon_H343 zenon_H2df zenon_H42. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.82 apply (zenon_L116_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.82 apply (zenon_L97_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.82 apply (zenon_L337_); trivial. % 83.65/83.82 apply (zenon_L387_); trivial. % 83.65/83.82 (* end of lemma zenon_L388_ *) % 83.65/83.82 assert (zenon_L389_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> ((op1 (e11) (e13)) = (e13)) -> (~((e11) = (e12))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H345 zenon_H49 zenon_H2c zenon_H25a zenon_H259 zenon_H2e zenon_H1b3 zenon_H378 zenon_H1a7. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H48 | zenon_intro zenon_H349 ]. % 83.65/83.82 apply (zenon_L14_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H34a ]. % 83.65/83.82 apply (zenon_L162_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2da ]. % 83.65/83.82 apply (zenon_L110_); trivial. % 83.65/83.82 apply (zenon_L314_); trivial. % 83.65/83.82 (* end of lemma zenon_L389_ *) % 83.65/83.82 assert (zenon_L390_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> ((op1 (e11) (e13)) = (e13)) -> (~((e12) = (e13))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((e11) = (e12))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H378 zenon_H259 zenon_H25a zenon_H2c zenon_H49 zenon_H345 zenon_H1b3 zenon_H2e. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.82 apply (zenon_L101_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.82 apply (zenon_L98_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.82 apply (zenon_L389_); trivial. % 83.65/83.82 apply (zenon_L110_); trivial. % 83.65/83.82 (* end of lemma zenon_L390_ *) % 83.65/83.82 assert (zenon_L391_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> ((op1 (e11) (e13)) = (e13)) -> (~((e12) = (e13))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H14 zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H378 zenon_H259 zenon_H25a zenon_H2c zenon_H49 zenon_H345 zenon_H2e. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ]. % 83.65/83.82 apply (zenon_L323_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ]. % 83.65/83.82 apply (zenon_L318_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ]. % 83.65/83.82 apply (zenon_L100_); trivial. % 83.65/83.82 apply (zenon_L390_); trivial. % 83.65/83.82 (* end of lemma zenon_L391_ *) % 83.65/83.82 assert (zenon_L392_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H17 zenon_H200 zenon_H19b zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H14 zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H378 zenon_H25a zenon_H2c zenon_H49 zenon_H345 zenon_H2e. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.82 apply (zenon_L177_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.82 apply (zenon_L147_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.82 apply (zenon_L159_); trivial. % 83.65/83.82 apply (zenon_L391_); trivial. % 83.65/83.82 (* end of lemma zenon_L392_ *) % 83.65/83.82 assert (zenon_L393_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H256 zenon_H3a zenon_H42 zenon_H2e zenon_H345 zenon_H49 zenon_H2c zenon_H25a zenon_H378 zenon_H3f zenon_H18e zenon_H1b6 zenon_H14 zenon_H187 zenon_H3a3 zenon_H244 zenon_H1a0 zenon_H3ac zenon_H1ba zenon_H200 zenon_H17 zenon_H229 zenon_H162 zenon_H1ee zenon_H25d zenon_H181 zenon_H1d4 zenon_H252 zenon_H194. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.65/83.82 apply (zenon_L21_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.65/83.82 apply (zenon_L392_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.65/83.82 apply (zenon_L117_); trivial. % 83.65/83.82 apply (zenon_L288_); trivial. % 83.65/83.82 (* end of lemma zenon_L393_ *) % 83.65/83.82 assert (zenon_L394_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H56 zenon_H194 zenon_H252 zenon_H1d4 zenon_H181 zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H200 zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H1b6 zenon_H18e zenon_H3f zenon_H378 zenon_H25a zenon_H345 zenon_H2e zenon_H256 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.82 apply (zenon_L393_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.82 apply (zenon_L15_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 (* end of lemma zenon_L394_ *) % 83.65/83.82 assert (zenon_L395_ : ((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\(((op1 (op1 (e12) (e11)) (e12)) = (e11))/\(~((op1 (op1 (e12) (e11)) (e11)) = (e12))))) -> ((((op1 (e10) (e10)) = (op1 (e10) (e10)))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e10))) = (e13)))))))\/((((op1 (e11) (e10)) = (op1 (e10) (e11)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e11))) = (e13)))))))\/((((op1 (e12) (e10)) = (op1 (e10) (e12)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e12))) = (e13)))))))\/((((op1 (e13) (e10)) = (op1 (e10) (e13)))/\((~((op1 (e10) (op1 (e10) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e13))) = (e13)))))))\/((((op1 (e10) (e11)) = (op1 (e11) (e10)))/\((~((op1 (e10) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e10))) = (e13)))))))\/((((op1 (e11) (e11)) = (op1 (e11) (e11)))/\((~((op1 (e10) (op1 (e11) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e11))) = (e13)))))))\/((((op1 (e12) (e11)) = (op1 (e11) (e12)))/\((~((op1 (e10) (op1 (e11) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e12))) = (e13)))))))\/((((op1 (e13) (e11)) = (op1 (e11) (e13)))/\((~((op1 (e10) (op1 (e11) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e13))) = (e13)))))))\/((((op1 (e10) (e12)) = (op1 (e12) (e10)))/\((~((op1 (e10) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e10))) = (e13)))))))\/((((op1 (e11) (e12)) = (op1 (e12) (e11)))/\((~((op1 (e10) (op1 (e12) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e11))) = (e13)))))))\/((((op1 (e12) (e12)) = (op1 (e12) (e12)))/\((~((op1 (e10) (op1 (e12) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e12))) = (e13)))))))\/((((op1 (e13) (e12)) = (op1 (e12) (e13)))/\((~((op1 (e10) (op1 (e12) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e13))) = (e13)))))))\/((((op1 (e10) (e13)) = (op1 (e13) (e10)))/\((~((op1 (e10) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e10))) = (e13)))))))\/((((op1 (e11) (e13)) = (op1 (e13) (e11)))/\((~((op1 (e10) (op1 (e13) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e11))) = (e13)))))))\/((((op1 (e12) (e13)) = (op1 (e13) (e12)))/\((~((op1 (e10) (op1 (e13) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e12))) = (e13)))))))\/(((op1 (e13) (e13)) = (op1 (e13) (e13)))/\((~((op1 (e10) (op1 (e13) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3cd zenon_H37d zenon_H23d zenon_H236 zenon_H204 zenon_H1ad zenon_H19a zenon_H1a9 zenon_H1c9 zenon_H276 zenon_H365 zenon_H373 zenon_H1d8 zenon_H35d zenon_H1b9 zenon_H16 zenon_H1b0 zenon_H220 zenon_H1e8 zenon_H1cf zenon_H1a5 zenon_H2e3 zenon_H343 zenon_H1e4 zenon_H249 zenon_H1e zenon_H163 zenon_H1c8 zenon_H53 zenon_H45 zenon_H56 zenon_H25 zenon_H17 zenon_H49 zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H187 zenon_H230 zenon_H357 zenon_H1a0 zenon_H3b3 zenon_H1f4 zenon_H1bf zenon_H2cd zenon_H256 zenon_H2e zenon_H345 zenon_H25a zenon_H3f zenon_H18e zenon_H1b6 zenon_H1ba zenon_H200 zenon_H229 zenon_H1ee zenon_H25d zenon_H252 zenon_H1f3 zenon_H14 zenon_H2c zenon_H3a. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H3cd). zenon_intro zenon_H3ac. zenon_intro zenon_H3ce. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H3ce). zenon_intro zenon_H3a3. zenon_intro zenon_H3cf. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.82 apply (zenon_L324_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.82 apply (zenon_L325_); trivial. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.65/83.82 apply (zenon_L150_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.82 apply (zenon_L320_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.82 apply (zenon_L326_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.82 apply (zenon_L325_); trivial. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.65/83.82 apply (zenon_L11_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.82 apply (zenon_L90_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.82 apply (zenon_L335_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.82 apply (zenon_L20_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.82 apply (zenon_L332_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.65/83.82 apply (zenon_L90_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.82 apply (zenon_L116_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.82 apply (zenon_L97_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.82 apply (zenon_L337_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ]. % 83.65/83.82 apply (zenon_L95_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ]. % 83.65/83.82 apply (zenon_L97_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ]. % 83.65/83.82 apply (zenon_L98_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.82 apply (zenon_L338_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.82 apply (zenon_L147_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.65/83.82 apply (zenon_L340_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.65/83.82 apply (zenon_L103_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L298_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 apply (zenon_L162_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.65/83.82 apply (zenon_L105_); trivial. % 83.65/83.82 apply (zenon_L331_); trivial. % 83.65/83.82 apply (zenon_L334_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.82 apply (zenon_L343_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.82 apply (zenon_L15_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.65/83.82 apply (zenon_L11_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.65/83.82 apply (zenon_L344_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.82 apply (zenon_L116_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.82 apply (zenon_L97_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.82 apply (zenon_L337_); trivial. % 83.65/83.82 apply (zenon_L345_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.82 apply (zenon_L318_); trivial. % 83.65/83.82 apply (zenon_L346_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.82 apply (zenon_L342_); trivial. % 83.65/83.82 apply (zenon_L102_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H3b6. zenon_intro zenon_H3d3. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.65/83.82 apply (zenon_L11_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.65/83.82 apply (zenon_L347_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.82 apply (zenon_L116_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.82 apply (zenon_L350_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.82 apply (zenon_L337_); trivial. % 83.65/83.82 apply (zenon_L345_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.82 apply (zenon_L342_); trivial. % 83.65/83.82 apply (zenon_L102_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H270. zenon_intro zenon_H277. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H26b. zenon_intro zenon_H278. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H271. zenon_intro zenon_H279. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.65/83.82 apply (zenon_L11_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.82 apply (zenon_L90_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.82 apply (zenon_L335_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.82 apply (zenon_L20_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.82 apply (zenon_L332_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.65/83.82 apply (zenon_L90_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.82 apply (zenon_L116_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.82 apply (zenon_L97_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.82 apply (zenon_L337_); trivial. % 83.65/83.82 apply (zenon_L351_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.65/83.82 apply (zenon_L105_); trivial. % 83.65/83.82 apply (zenon_L331_); trivial. % 83.65/83.82 apply (zenon_L334_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.82 apply (zenon_L355_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.82 apply (zenon_L325_); trivial. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.82 apply (zenon_L342_); trivial. % 83.65/83.82 apply (zenon_L102_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H284. zenon_intro zenon_H283. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H286. zenon_intro zenon_H285. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H288. zenon_intro zenon_H287. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H27d. zenon_intro zenon_H289. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.65/83.82 apply (zenon_L11_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.82 apply (zenon_L20_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.82 apply (zenon_L332_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.82 apply (zenon_L357_); trivial. % 83.65/83.82 apply (zenon_L334_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ]. % 83.65/83.82 apply (zenon_L90_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ]. % 83.65/83.82 apply (zenon_L360_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.82 apply (zenon_L20_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.82 apply (zenon_L362_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.82 apply (zenon_L356_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.82 apply (zenon_L318_); trivial. % 83.65/83.82 apply (zenon_L361_); trivial. % 83.65/83.82 apply (zenon_L247_); trivial. % 83.65/83.82 apply (zenon_L15_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.82 apply (zenon_L342_); trivial. % 83.65/83.82 apply (zenon_L102_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H293. zenon_intro zenon_H295. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28f. zenon_intro zenon_H296. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.65/83.82 apply (zenon_L11_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.82 apply (zenon_L20_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.82 apply (zenon_L332_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.82 apply (zenon_L363_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.82 apply (zenon_L15_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 apply (zenon_L334_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.82 apply (zenon_L177_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.82 apply (zenon_L147_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.82 apply (zenon_L340_); trivial. % 83.65/83.82 apply (zenon_L367_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.82 apply (zenon_L342_); trivial. % 83.65/83.82 apply (zenon_L102_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H29d. zenon_intro zenon_H2a5. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a7. zenon_intro zenon_H2a6. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H299. zenon_intro zenon_H2a8. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.65/83.82 apply (zenon_L11_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.82 apply (zenon_L20_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.82 apply (zenon_L332_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.65/83.82 apply (zenon_L195_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.82 apply (zenon_L116_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.82 apply (zenon_L97_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.82 apply (zenon_L336_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ]. % 83.65/83.82 apply (zenon_L95_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ]. % 83.65/83.82 apply (zenon_L97_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ]. % 83.65/83.82 apply (zenon_L98_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.82 apply (zenon_L101_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.82 apply (zenon_L98_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.65/83.82 apply (zenon_L369_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.65/83.82 apply (zenon_L334_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L108_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 apply (zenon_L122_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.82 apply (zenon_L147_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.65/83.82 apply (zenon_L340_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.65/83.82 apply (zenon_L103_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L196_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 apply (zenon_L162_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.65/83.82 apply (zenon_L105_); trivial. % 83.65/83.82 apply (zenon_L331_); trivial. % 83.65/83.82 apply (zenon_L334_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_L369_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H188. zenon_intro zenon_H2b3. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2b5. zenon_intro zenon_H2b4. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2b7. zenon_intro zenon_H2b6. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2ac. zenon_intro zenon_H2b8. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.82 apply (zenon_L370_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.82 apply (zenon_L325_); trivial. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2bc. zenon_intro zenon_H2c3. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.82 apply (zenon_L320_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.82 apply (zenon_L371_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.82 apply (zenon_L325_); trivial. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c4. zenon_intro zenon_H2c6. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H3d5. zenon_intro zenon_H3d4. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H3d4). zenon_intro zenon_H3c2. zenon_intro zenon_H3d6. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.65/83.82 apply (zenon_L11_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.82 apply (zenon_L20_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.82 apply (zenon_L332_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.65/83.82 apply (zenon_L90_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.82 apply (zenon_L116_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.82 apply (zenon_L97_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.82 apply (zenon_L337_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ]. % 83.65/83.82 apply (zenon_L95_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ]. % 83.65/83.82 apply (zenon_L97_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ]. % 83.65/83.82 apply (zenon_L98_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.82 apply (zenon_L101_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.82 apply (zenon_L98_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.65/83.82 apply (zenon_L373_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.65/83.82 apply (zenon_L334_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L108_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 apply (zenon_L122_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.82 apply (zenon_L147_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.65/83.82 apply (zenon_L340_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.65/83.82 apply (zenon_L103_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L208_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 apply (zenon_L162_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.65/83.82 apply (zenon_L105_); trivial. % 83.65/83.82 apply (zenon_L331_); trivial. % 83.65/83.82 apply (zenon_L334_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_L373_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2c7. zenon_intro zenon_H2cf. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d3. zenon_intro zenon_H2d2. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H2c9. zenon_intro zenon_H2d4. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.65/83.82 apply (zenon_L11_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.65/83.82 apply (zenon_L375_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ]. % 83.65/83.82 apply (zenon_L90_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.82 apply (zenon_L180_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.82 apply (zenon_L318_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.82 apply (zenon_L177_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.82 apply (zenon_L147_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.82 apply (zenon_L340_); trivial. % 83.65/83.82 apply (zenon_L377_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.82 apply (zenon_L20_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.82 apply (zenon_L180_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.82 apply (zenon_L318_); trivial. % 83.65/83.82 apply (zenon_L378_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.82 apply (zenon_L374_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.82 apply (zenon_L318_); trivial. % 83.65/83.82 apply (zenon_L378_); trivial. % 83.65/83.82 apply (zenon_L247_); trivial. % 83.65/83.82 apply (zenon_L15_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.82 apply (zenon_L342_); trivial. % 83.65/83.82 apply (zenon_L102_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2d5. zenon_intro zenon_H2d8. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H36f. zenon_intro zenon_H39e. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.65/83.82 apply (zenon_L11_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.82 apply (zenon_L90_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.82 apply (zenon_L335_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.82 apply (zenon_L20_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.82 apply (zenon_L332_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.65/83.82 apply (zenon_L90_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ]. % 83.65/83.82 apply (zenon_L95_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ]. % 83.65/83.82 apply (zenon_L97_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ]. % 83.65/83.82 apply (zenon_L98_); trivial. % 83.65/83.82 apply (zenon_L380_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.65/83.82 apply (zenon_L105_); trivial. % 83.65/83.82 apply (zenon_L331_); trivial. % 83.65/83.82 apply (zenon_L334_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.82 apply (zenon_L384_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.82 apply (zenon_L325_); trivial. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.82 apply (zenon_L342_); trivial. % 83.65/83.82 apply (zenon_L102_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2df. zenon_intro zenon_H2ea. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H3a0. zenon_intro zenon_H39f. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_H378. zenon_intro zenon_H3a1. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.65/83.82 apply (zenon_L11_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.65/83.82 apply (zenon_L90_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.82 apply (zenon_L388_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.82 apply (zenon_L15_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.65/83.82 apply (zenon_L105_); trivial. % 83.65/83.82 apply (zenon_L331_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.65/83.82 apply (zenon_L321_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.65/83.82 apply (zenon_L9_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.82 apply (zenon_L7_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ]. % 83.65/83.82 apply (zenon_L320_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ]. % 83.65/83.82 apply (zenon_L394_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ]. % 83.65/83.82 apply (zenon_L325_); trivial. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.82 apply (zenon_L342_); trivial. % 83.65/83.82 apply (zenon_L102_); trivial. % 83.65/83.82 apply (zenon_L10_); trivial. % 83.65/83.82 (* end of lemma zenon_L395_ *) % 83.65/83.82 assert (zenon_L396_ : ((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(((op1 (op1 (e12) (e12)) (e12)) = (e12))/\(~((op1 (op1 (e12) (e12)) (e12)) = (e12))))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3d7. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H3d7). zenon_intro zenon_H2ac. zenon_intro zenon_H3d8. % 83.65/83.82 apply (zenon_and_s _ _ zenon_H3d8). zenon_intro zenon_H3da. zenon_intro zenon_H3d9. % 83.65/83.82 exact (zenon_H3d9 zenon_H3da). % 83.65/83.82 (* end of lemma zenon_L396_ *) % 83.65/83.82 assert (zenon_L397_ : (~((op1 (e11) (e12)) = (op1 (op1 (e12) (e13)) (e12)))) -> ((op1 (e12) (e13)) = (e11)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3db zenon_H1b3. % 83.65/83.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.65/83.82 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3b2]. % 83.65/83.82 congruence. % 83.65/83.82 apply zenon_H3b2. apply sym_equal. exact zenon_H1b3. % 83.65/83.82 apply zenon_H2b. apply refl_equal. % 83.65/83.82 (* end of lemma zenon_L397_ *) % 83.65/83.82 assert (zenon_L398_ : (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e11) (e13)) = (e13)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3b1 zenon_H3dc zenon_H1b3 zenon_H259. % 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e11) (e12)) = (op1 (e11) (e13)))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H3b1. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H3dc. % 83.65/83.82 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33e]. % 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3dd]. % 83.65/83.82 congruence. % 83.65/83.82 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ]. % 83.65/83.82 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e11) (e12)))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H3dd. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H1a1. % 83.65/83.82 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 83.65/83.82 cut (((op1 (e11) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3db]. % 83.65/83.82 congruence. % 83.65/83.82 apply (zenon_L397_); trivial. % 83.65/83.82 apply zenon_H19e. apply refl_equal. % 83.65/83.82 apply zenon_H19e. apply refl_equal. % 83.65/83.82 apply zenon_H33e. apply sym_equal. exact zenon_H259. % 83.65/83.82 (* end of lemma zenon_L398_ *) % 83.65/83.82 assert (zenon_L399_ : (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3de zenon_H3dc zenon_H1b4. % 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e12) (op1 (e12) (e13))) = (e13))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H3de. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H3dc. % 83.65/83.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3df]. % 83.65/83.82 congruence. % 83.65/83.82 elim (classic ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (op1 (e12) (e13))))); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H3e1 ]. % 83.65/83.82 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (op1 (e12) (e13)))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e12) (op1 (e12) (e13))))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H3df. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H3e0. % 83.65/83.82 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e1]. % 83.65/83.82 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e2]. % 83.65/83.82 congruence. % 83.65/83.82 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1b5]. % 83.65/83.82 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e6]. % 83.65/83.82 congruence. % 83.65/83.82 apply zenon_H1e6. apply sym_equal. exact zenon_H1b4. % 83.65/83.82 exact (zenon_H1b5 zenon_H1b4). % 83.65/83.82 apply zenon_H3e1. apply refl_equal. % 83.65/83.82 apply zenon_H3e1. apply refl_equal. % 83.65/83.82 apply zenon_H1f0. apply refl_equal. % 83.65/83.82 (* end of lemma zenon_L399_ *) % 83.65/83.82 assert (zenon_L400_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3e3 zenon_H42 zenon_H50 zenon_H3b1 zenon_H3dc zenon_H3de zenon_H1e4 zenon_H259. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H51 | zenon_intro zenon_H3e4 ]. % 83.65/83.82 apply (zenon_L16_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3e5 ]. % 83.65/83.82 apply (zenon_L398_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H363 ]. % 83.65/83.82 apply (zenon_L399_); trivial. % 83.65/83.82 apply (zenon_L294_); trivial. % 83.65/83.82 (* end of lemma zenon_L400_ *) % 83.65/83.82 assert (zenon_L401_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H56 zenon_H259 zenon_H1e4 zenon_H3de zenon_H3dc zenon_H3b1 zenon_H3e3 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.82 apply (zenon_L400_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.82 apply (zenon_L15_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.82 apply (zenon_L17_); trivial. % 83.65/83.82 apply (zenon_L19_); trivial. % 83.65/83.82 (* end of lemma zenon_L401_ *) % 83.65/83.82 assert (zenon_L402_ : (~((op1 (e13) (e12)) = (op1 (op1 (e12) (e13)) (e12)))) -> ((op1 (e12) (e13)) = (e13)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3e6 zenon_H363. % 83.65/83.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.65/83.82 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H364]. % 83.65/83.82 congruence. % 83.65/83.82 apply zenon_H364. apply sym_equal. exact zenon_H363. % 83.65/83.82 apply zenon_H2b. apply refl_equal. % 83.65/83.82 (* end of lemma zenon_L402_ *) % 83.65/83.82 assert (zenon_L403_ : ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3dc zenon_H363 zenon_H1ab zenon_H19a. % 83.65/83.82 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H19a. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H205. % 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35b]. % 83.65/83.82 congruence. % 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e11) (e12)))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H35b. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H3dc. % 83.65/83.82 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ac]. % 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e7]. % 83.65/83.82 congruence. % 83.65/83.82 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e13) (e12)))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H3e7. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H205. % 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e6]. % 83.65/83.82 congruence. % 83.65/83.82 apply (zenon_L402_); trivial. % 83.65/83.82 apply zenon_H206. apply refl_equal. % 83.65/83.82 apply zenon_H206. apply refl_equal. % 83.65/83.82 apply zenon_H1ac. apply sym_equal. exact zenon_H1ab. % 83.65/83.82 apply zenon_H206. apply refl_equal. % 83.65/83.82 apply zenon_H206. apply refl_equal. % 83.65/83.82 (* end of lemma zenon_L403_ *) % 83.65/83.82 assert (zenon_L404_ : (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e11)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3e8 zenon_H1e5 zenon_H1b3. % 83.65/83.82 cut (((op1 (e11) (e13)) = (e12)) = ((op1 (op1 (e12) (e13)) (e13)) = (e12))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H3e8. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H1e5. % 83.65/83.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.65/83.82 cut (((op1 (e11) (e13)) = (op1 (op1 (e12) (e13)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3e9]. % 83.65/83.82 congruence. % 83.65/83.82 elim (classic ((op1 (op1 (e12) (e13)) (e13)) = (op1 (op1 (e12) (e13)) (e13)))); [ zenon_intro zenon_H3ea | zenon_intro zenon_H3eb ]. % 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e13)) = (op1 (op1 (e12) (e13)) (e13))) = ((op1 (e11) (e13)) = (op1 (op1 (e12) (e13)) (e13)))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H3e9. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H3ea. % 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e13)) = (op1 (op1 (e12) (e13)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3eb]. % 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3ec]. % 83.65/83.82 congruence. % 83.65/83.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.82 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3ed]. % 83.65/83.82 congruence. % 83.65/83.82 exact (zenon_H3ed zenon_H1b3). % 83.65/83.82 apply zenon_H1f0. apply refl_equal. % 83.65/83.82 apply zenon_H3eb. apply refl_equal. % 83.65/83.82 apply zenon_H3eb. apply refl_equal. % 83.65/83.82 apply zenon_H2b. apply refl_equal. % 83.65/83.82 (* end of lemma zenon_L404_ *) % 83.65/83.82 assert (zenon_L405_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3ee zenon_H3dc zenon_H363 zenon_H2dd. % 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H3ee. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H3dc. % 83.65/83.82 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3ef]. % 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e7]. % 83.65/83.82 congruence. % 83.65/83.82 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e13) (e12)))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H3e7. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H205. % 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e6]. % 83.65/83.82 congruence. % 83.65/83.82 apply (zenon_L402_); trivial. % 83.65/83.82 apply zenon_H206. apply refl_equal. % 83.65/83.82 apply zenon_H206. apply refl_equal. % 83.65/83.82 apply zenon_H3ef. apply sym_equal. exact zenon_H2dd. % 83.65/83.82 (* end of lemma zenon_L405_ *) % 83.65/83.82 assert (zenon_L406_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3e3 zenon_H42 zenon_H50 zenon_H1e5 zenon_H3e8 zenon_H3de zenon_H3ee zenon_H3dc zenon_H2dd. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H51 | zenon_intro zenon_H3e4 ]. % 83.65/83.82 apply (zenon_L16_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3e5 ]. % 83.65/83.82 apply (zenon_L404_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H363 ]. % 83.65/83.82 apply (zenon_L399_); trivial. % 83.65/83.82 apply (zenon_L405_); trivial. % 83.65/83.82 (* end of lemma zenon_L406_ *) % 83.65/83.82 assert (zenon_L407_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (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)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((e12) = (e13))) -> False). % 83.65/83.82 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H3dc zenon_H3ee zenon_H3de zenon_H3e8 zenon_H50 zenon_H42 zenon_H3e3 zenon_H19a zenon_H56 zenon_H1e4 zenon_H3b1 zenon_H45 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25 zenon_H3f0 zenon_H1e5 zenon_H25a. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.82 apply (zenon_L177_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.82 apply (zenon_L147_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H24 | zenon_intro zenon_H3f1 ]. % 83.65/83.82 apply (zenon_L5_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H259 | zenon_intro zenon_H3f2 ]. % 83.65/83.82 apply (zenon_L401_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H363 | zenon_intro zenon_H2dd ]. % 83.65/83.82 apply (zenon_L403_); trivial. % 83.65/83.82 apply (zenon_L406_); trivial. % 83.65/83.82 apply (zenon_L162_); trivial. % 83.65/83.82 (* end of lemma zenon_L407_ *) % 83.65/83.82 assert (zenon_L408_ : (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e13)) = (e11)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H2f3 zenon_H162 zenon_H1eb. % 83.65/83.82 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))). % 83.65/83.82 intro zenon_D_pnotp. % 83.65/83.82 apply zenon_H2f3. % 83.65/83.82 rewrite <- zenon_D_pnotp. % 83.65/83.82 exact zenon_H162. % 83.65/83.82 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33c]. % 83.65/83.82 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 83.65/83.82 congruence. % 83.65/83.82 apply zenon_H179. apply refl_equal. % 83.65/83.82 apply zenon_H33c. apply sym_equal. exact zenon_H1eb. % 83.65/83.82 (* end of lemma zenon_L408_ *) % 83.65/83.82 assert (zenon_L409_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3e3 zenon_H42 zenon_H50 zenon_H259 zenon_H3b1 zenon_H3de zenon_H3ee zenon_H3dc zenon_H2dd. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H51 | zenon_intro zenon_H3e4 ]. % 83.65/83.82 apply (zenon_L16_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3e5 ]. % 83.65/83.82 apply (zenon_L398_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H363 ]. % 83.65/83.82 apply (zenon_L399_); trivial. % 83.65/83.82 apply (zenon_L405_); trivial. % 83.65/83.82 (* end of lemma zenon_L409_ *) % 83.65/83.82 assert (zenon_L410_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H340 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H162 zenon_H2f3 zenon_H2da zenon_H343 zenon_H3e3 zenon_H42 zenon_H50 zenon_H3b1 zenon_H3de zenon_H3ee zenon_H3dc zenon_H2dd. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H46 | zenon_intro zenon_H341 ]. % 83.65/83.82 apply (zenon_L15_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H1eb | zenon_intro zenon_H342 ]. % 83.65/83.82 apply (zenon_L408_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H259 ]. % 83.65/83.82 apply (zenon_L265_); trivial. % 83.65/83.82 apply (zenon_L409_); trivial. % 83.65/83.82 (* end of lemma zenon_L410_ *) % 83.65/83.82 assert (zenon_L411_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H3f0 zenon_H53 zenon_H1e4 zenon_H56 zenon_H19a zenon_H1ab zenon_H340 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H162 zenon_H2f3 zenon_H2da zenon_H343 zenon_H3e3 zenon_H42 zenon_H50 zenon_H3b1 zenon_H3de zenon_H3ee zenon_H3dc. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H24 | zenon_intro zenon_H3f1 ]. % 83.65/83.82 apply (zenon_L5_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H259 | zenon_intro zenon_H3f2 ]. % 83.65/83.82 apply (zenon_L401_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H363 | zenon_intro zenon_H2dd ]. % 83.65/83.82 apply (zenon_L403_); trivial. % 83.65/83.82 apply (zenon_L410_); trivial. % 83.65/83.82 (* end of lemma zenon_L411_ *) % 83.65/83.82 assert (zenon_L412_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> False). % 83.65/83.82 do 0 intro. intros zenon_H345 zenon_H25a zenon_H3e8 zenon_H229 zenon_H1ee zenon_H25d zenon_H3f0 zenon_H53 zenon_H1e4 zenon_H56 zenon_H19a zenon_H1ab zenon_H340 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H162 zenon_H2f3 zenon_H343 zenon_H3e3 zenon_H42 zenon_H50 zenon_H3b1 zenon_H3de zenon_H3ee zenon_H3dc. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H48 | zenon_intro zenon_H349 ]. % 83.65/83.82 apply (zenon_L14_); trivial. % 83.65/83.82 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H34a ]. % 83.65/83.82 apply (zenon_L407_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2da ]. % 83.65/83.83 apply (zenon_L399_); trivial. % 83.65/83.83 apply (zenon_L411_); trivial. % 83.65/83.83 (* end of lemma zenon_L412_ *) % 83.65/83.83 assert (zenon_L413_ : ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H3dc zenon_H3ee zenon_H3de zenon_H3b1 zenon_H3e3 zenon_H343 zenon_H2f3 zenon_H162 zenon_H340 zenon_H1ab zenon_H19a zenon_H56 zenon_H1e4 zenon_H3f0 zenon_H25d zenon_H1ee zenon_H229 zenon_H3e8 zenon_H25a zenon_H345 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.83 apply (zenon_L412_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.83 apply (zenon_L15_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.83 apply (zenon_L17_); trivial. % 83.65/83.83 apply (zenon_L19_); trivial. % 83.65/83.83 (* end of lemma zenon_L413_ *) % 83.65/83.83 assert (zenon_L414_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H345 zenon_H25a zenon_H3e8 zenon_H229 zenon_H1ee zenon_H25d zenon_H3f0 zenon_H19a zenon_H340 zenon_H162 zenon_H2f3 zenon_H343 zenon_H3ee zenon_H56 zenon_H1e4 zenon_H3de zenon_H3dc zenon_H3b1 zenon_H3e3 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.83 apply (zenon_L177_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.83 apply (zenon_L147_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.83 apply (zenon_L413_); trivial. % 83.65/83.83 apply (zenon_L401_); trivial. % 83.65/83.83 (* end of lemma zenon_L414_ *) % 83.65/83.83 assert (zenon_L415_ : ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H3dc zenon_H363 zenon_H1da zenon_H360. % 83.65/83.83 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H360. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H205. % 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H361]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e12) (e12)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H361. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H3dc. % 83.65/83.83 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1db]. % 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e7]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ]. % 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e13) (e12)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H3e7. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H205. % 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e6]. % 83.65/83.83 congruence. % 83.65/83.83 apply (zenon_L402_); trivial. % 83.65/83.83 apply zenon_H206. apply refl_equal. % 83.65/83.83 apply zenon_H206. apply refl_equal. % 83.65/83.83 apply zenon_H1db. apply sym_equal. exact zenon_H1da. % 83.65/83.83 apply zenon_H206. apply refl_equal. % 83.65/83.83 apply zenon_H206. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L415_ *) % 83.65/83.83 assert (zenon_L416_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e12) (e12)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1a5 zenon_H3dc zenon_H1b3 zenon_H1da. % 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H1a5. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H3dc. % 83.65/83.83 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1db]. % 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3dd]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ]. % 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e11) (e12)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H3dd. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H1a1. % 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3db]. % 83.65/83.83 congruence. % 83.65/83.83 apply (zenon_L397_); trivial. % 83.65/83.83 apply zenon_H19e. apply refl_equal. % 83.65/83.83 apply zenon_H19e. apply refl_equal. % 83.65/83.83 apply zenon_H1db. apply sym_equal. exact zenon_H1da. % 83.65/83.83 (* end of lemma zenon_L416_ *) % 83.65/83.83 assert (zenon_L417_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H3e3 zenon_H42 zenon_H50 zenon_H1da zenon_H1a5 zenon_H3de zenon_H3ee zenon_H3dc zenon_H2dd. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H51 | zenon_intro zenon_H3e4 ]. % 83.65/83.83 apply (zenon_L16_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3e5 ]. % 83.65/83.83 apply (zenon_L416_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H363 ]. % 83.65/83.83 apply (zenon_L399_); trivial. % 83.65/83.83 apply (zenon_L405_); trivial. % 83.65/83.83 (* end of lemma zenon_L417_ *) % 83.65/83.83 assert (zenon_L418_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H3f0 zenon_H25 zenon_H14 zenon_H17 zenon_H1e4 zenon_H3b1 zenon_H360 zenon_H3e3 zenon_H42 zenon_H50 zenon_H1da zenon_H1a5 zenon_H3de zenon_H3ee zenon_H3dc. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H24 | zenon_intro zenon_H3f1 ]. % 83.65/83.83 apply (zenon_L5_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H259 | zenon_intro zenon_H3f2 ]. % 83.65/83.83 apply (zenon_L400_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H363 | zenon_intro zenon_H2dd ]. % 83.65/83.83 apply (zenon_L415_); trivial. % 83.65/83.83 apply (zenon_L417_); trivial. % 83.65/83.83 (* end of lemma zenon_L418_ *) % 83.65/83.83 assert (zenon_L419_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H56 zenon_H3dc zenon_H3ee zenon_H3de zenon_H1a5 zenon_H1da zenon_H3e3 zenon_H360 zenon_H3b1 zenon_H1e4 zenon_H3f0 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.83 apply (zenon_L418_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.83 apply (zenon_L15_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.83 apply (zenon_L17_); trivial. % 83.65/83.83 apply (zenon_L19_); trivial. % 83.65/83.83 (* end of lemma zenon_L419_ *) % 83.65/83.83 assert (zenon_L420_ : (~((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H3f3 zenon_H363. % 83.65/83.83 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3f4]. % 83.65/83.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.65/83.83 congruence. % 83.65/83.83 apply zenon_H2b. apply refl_equal. % 83.65/83.83 exact (zenon_H3f4 zenon_H363). % 83.65/83.83 (* end of lemma zenon_L420_ *) % 83.65/83.83 assert (zenon_L421_ : (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((op1 (e12) (e13)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H3de zenon_H363. % 83.65/83.83 cut (((op1 (e12) (e13)) = (e13)) = ((op1 (e12) (op1 (e12) (e13))) = (e13))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H3de. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H363. % 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f5]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (op1 (e12) (e13))))); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H3e1 ]. % 83.65/83.83 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (op1 (e12) (e13)))) = ((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e13))))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H3f5. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H3e0. % 83.65/83.83 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e1]. % 83.65/83.83 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3f3]. % 83.65/83.83 congruence. % 83.65/83.83 apply (zenon_L420_); trivial. % 83.65/83.83 apply zenon_H3e1. apply refl_equal. % 83.65/83.83 apply zenon_H3e1. apply refl_equal. % 83.65/83.83 apply zenon_H1f0. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L421_ *) % 83.65/83.83 assert (zenon_L422_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H365 zenon_H1ee zenon_H16c zenon_H230 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H3f0 zenon_H1e4 zenon_H3b1 zenon_H360 zenon_H3e3 zenon_H1a5 zenon_H3ee zenon_H3dc zenon_H56 zenon_H3de. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ]. % 83.65/83.83 apply (zenon_L234_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ]. % 83.65/83.83 apply (zenon_L148_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ]. % 83.65/83.83 apply (zenon_L419_); trivial. % 83.65/83.83 apply (zenon_L421_); trivial. % 83.65/83.83 (* end of lemma zenon_L422_ *) % 83.65/83.83 assert (zenon_L423_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H3e3 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H1eb zenon_H1e4 zenon_H3de zenon_H3dc zenon_H1ab zenon_H19a. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H51 | zenon_intro zenon_H3e4 ]. % 83.65/83.83 apply (zenon_L17_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3e5 ]. % 83.65/83.83 apply (zenon_L330_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H363 ]. % 83.65/83.83 apply (zenon_L399_); trivial. % 83.65/83.83 apply (zenon_L403_); trivial. % 83.65/83.83 (* end of lemma zenon_L423_ *) % 83.65/83.83 assert (zenon_L424_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H19a zenon_H3dc zenon_H1b3 zenon_H36d. % 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H19a. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H3dc. % 83.65/83.83 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f6]. % 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3dd]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ]. % 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e11) (e12)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H3dd. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H1a1. % 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3db]. % 83.65/83.83 congruence. % 83.65/83.83 apply (zenon_L397_); trivial. % 83.65/83.83 apply zenon_H19e. apply refl_equal. % 83.65/83.83 apply zenon_H19e. apply refl_equal. % 83.65/83.83 apply zenon_H3f6. apply sym_equal. exact zenon_H36d. % 83.65/83.83 (* end of lemma zenon_L424_ *) % 83.65/83.83 assert (zenon_L425_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H3f7 zenon_H1ee zenon_H195 zenon_H236 zenon_H19a zenon_H340 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b3 zenon_H1e4 zenon_H3e8 zenon_H3e3 zenon_H42 zenon_H50 zenon_H3b1 zenon_H3de zenon_H3ee zenon_H3dc. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f7); [ zenon_intro zenon_H1ed | zenon_intro zenon_H3f8 ]. % 83.65/83.83 apply (zenon_L128_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f8); [ zenon_intro zenon_H235 | zenon_intro zenon_H3f9 ]. % 83.65/83.83 apply (zenon_L149_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f9); [ zenon_intro zenon_H36d | zenon_intro zenon_H2dd ]. % 83.65/83.83 apply (zenon_L424_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H46 | zenon_intro zenon_H341 ]. % 83.65/83.83 apply (zenon_L15_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H1eb | zenon_intro zenon_H342 ]. % 83.65/83.83 apply (zenon_L330_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H259 ]. % 83.65/83.83 apply (zenon_L406_); trivial. % 83.65/83.83 apply (zenon_L409_); trivial. % 83.65/83.83 (* end of lemma zenon_L425_ *) % 83.65/83.83 assert (zenon_L426_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H56 zenon_H3dc zenon_H3ee zenon_H3de zenon_H3b1 zenon_H3e3 zenon_H3e8 zenon_H1e4 zenon_H1b3 zenon_H340 zenon_H19a zenon_H236 zenon_H195 zenon_H1ee zenon_H3f7 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.83 apply (zenon_L425_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.83 apply (zenon_L15_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.83 apply (zenon_L17_); trivial. % 83.65/83.83 apply (zenon_L19_); trivial. % 83.65/83.83 (* end of lemma zenon_L426_ *) % 83.65/83.83 assert (zenon_L427_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e11)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H3fa zenon_H1ab zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H19a zenon_H340 zenon_H1e4 zenon_H3e8 zenon_H3e3 zenon_H3b1 zenon_H3de zenon_H3ee zenon_H3dc zenon_H56 zenon_H20a zenon_H195. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3fa); [ zenon_intro zenon_H39 | zenon_intro zenon_H3fb ]. % 83.65/83.83 apply (zenon_L10_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3fb); [ zenon_intro zenon_H1eb | zenon_intro zenon_H3fc ]. % 83.65/83.83 apply (zenon_L423_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3fc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H20b ]. % 83.65/83.83 apply (zenon_L426_); trivial. % 83.65/83.83 apply (zenon_L312_); trivial. % 83.65/83.83 (* end of lemma zenon_L427_ *) % 83.65/83.83 assert (zenon_L428_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H360 zenon_H3dc zenon_H1b4 zenon_H36d. % 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H360. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H3dc. % 83.65/83.83 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f6]. % 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3fd]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ]. % 83.65/83.83 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e12) (e12)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H3fd. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H188. % 83.65/83.83 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 83.65/83.83 cut (((op1 (e12) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3fe]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.65/83.83 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e6]. % 83.65/83.83 congruence. % 83.65/83.83 apply zenon_H1e6. apply sym_equal. exact zenon_H1b4. % 83.65/83.83 apply zenon_H2b. apply refl_equal. % 83.65/83.83 apply zenon_H189. apply refl_equal. % 83.65/83.83 apply zenon_H189. apply refl_equal. % 83.65/83.83 apply zenon_H3f6. apply sym_equal. exact zenon_H36d. % 83.65/83.83 (* end of lemma zenon_L428_ *) % 83.65/83.83 assert (zenon_L429_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H3e3 zenon_H42 zenon_H50 zenon_H19a zenon_H36d zenon_H360 zenon_H3ee zenon_H3dc zenon_H2dd. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H51 | zenon_intro zenon_H3e4 ]. % 83.65/83.83 apply (zenon_L16_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3e5 ]. % 83.65/83.83 apply (zenon_L424_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H363 ]. % 83.65/83.83 apply (zenon_L428_); trivial. % 83.65/83.83 apply (zenon_L405_); trivial. % 83.65/83.83 (* end of lemma zenon_L429_ *) % 83.65/83.83 assert (zenon_L430_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (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 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H3f0 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H45 zenon_H3b1 zenon_H1e4 zenon_H56 zenon_H3de zenon_H3e3 zenon_H42 zenon_H50 zenon_H19a zenon_H36d zenon_H360 zenon_H3ee zenon_H3dc. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H24 | zenon_intro zenon_H3f1 ]. % 83.65/83.83 apply (zenon_L5_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H259 | zenon_intro zenon_H3f2 ]. % 83.65/83.83 apply (zenon_L401_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H363 | zenon_intro zenon_H2dd ]. % 83.65/83.83 apply (zenon_L421_); trivial. % 83.65/83.83 apply (zenon_L429_); trivial. % 83.65/83.83 (* end of lemma zenon_L430_ *) % 83.65/83.83 assert (zenon_L431_ : ((~((op1 (e12) (op1 (e12) (e13))) = (e13)))/\(((op1 (op1 (e12) (e13)) (e12)) = (e13))/\(~((op1 (op1 (e12) (e13)) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H3ff zenon_H1f3 zenon_H2e zenon_H343 zenon_H2f3 zenon_H25d zenon_H229 zenon_H25a zenon_H345 zenon_H230 zenon_H365 zenon_H373 zenon_H1e zenon_H20a zenon_H340 zenon_H236 zenon_H1ee zenon_H3f7 zenon_H3fa zenon_H1a5 zenon_H3ee zenon_H360 zenon_H19a zenon_H3e3 zenon_H56 zenon_H1e4 zenon_H3b1 zenon_H3f0 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.83 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H3de. zenon_intro zenon_H400. % 83.65/83.83 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H3dc. zenon_intro zenon_H3e8. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.65/83.83 apply (zenon_L7_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.65/83.83 apply (zenon_L414_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.65/83.83 apply (zenon_L422_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H1d | zenon_intro zenon_H374 ]. % 83.65/83.83 apply (zenon_L4_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H1ab | zenon_intro zenon_H375 ]. % 83.65/83.83 apply (zenon_L427_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H1da | zenon_intro zenon_H36d ]. % 83.65/83.83 apply (zenon_L419_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.83 apply (zenon_L430_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.83 apply (zenon_L15_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.83 apply (zenon_L17_); trivial. % 83.65/83.83 apply (zenon_L19_); trivial. % 83.65/83.83 (* end of lemma zenon_L431_ *) % 83.65/83.83 assert (zenon_L432_ : ((op1 (op1 (e13) (e10)) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H401 zenon_H195 zenon_H42 zenon_H45. % 83.65/83.83 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H402 | zenon_intro zenon_H1e7 ]. % 83.65/83.83 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H45. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H402. % 83.65/83.83 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 83.65/83.83 cut (((op1 (e11) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H403]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((op1 (op1 (e13) (e10)) (e13)) = (e10)) = ((op1 (e11) (e13)) = (op1 (e10) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H403. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H401. % 83.65/83.83 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c0]. % 83.65/83.83 cut (((op1 (op1 (e13) (e10)) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H404]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H402 | zenon_intro zenon_H1e7 ]. % 83.65/83.83 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (op1 (e13) (e10)) (e13)) = (op1 (e11) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H404. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H402. % 83.65/83.83 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 83.65/83.83 cut (((op1 (e11) (e13)) = (op1 (op1 (e13) (e10)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H405]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.83 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H246]. % 83.65/83.83 congruence. % 83.65/83.83 apply zenon_H246. apply sym_equal. exact zenon_H195. % 83.65/83.83 apply zenon_H1f0. apply refl_equal. % 83.65/83.83 apply zenon_H1e7. apply refl_equal. % 83.65/83.83 apply zenon_H1e7. apply refl_equal. % 83.65/83.83 apply zenon_H2c0. apply sym_equal. exact zenon_H42. % 83.65/83.83 apply zenon_H1e7. apply refl_equal. % 83.65/83.83 apply zenon_H1e7. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L432_ *) % 83.65/83.83 assert (zenon_L433_ : (~((op1 (e13) (op1 (e13) (e10))) = (e10))) -> ((op1 (e13) (e10)) = (e10)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H406 zenon_H194. % 83.65/83.83 cut (((op1 (e13) (e10)) = (e10)) = ((op1 (e13) (op1 (e13) (e10))) = (e10))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H406. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H194. % 83.65/83.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.65/83.83 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H407]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (op1 (e13) (e10))))); [ zenon_intro zenon_H408 | zenon_intro zenon_H409 ]. % 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (op1 (e13) (e10)))) = ((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e10))))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H407. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H408. % 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H409]. % 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H40a]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c1]. % 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.83 congruence. % 83.65/83.83 apply zenon_H1f0. apply refl_equal. % 83.65/83.83 exact (zenon_H3c1 zenon_H194). % 83.65/83.83 apply zenon_H409. apply refl_equal. % 83.65/83.83 apply zenon_H409. apply refl_equal. % 83.65/83.83 apply zenon_H12. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L433_ *) % 83.65/83.83 assert (zenon_L434_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H2c zenon_H40b zenon_H2fc. % 83.65/83.83 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ]. % 83.65/83.83 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H2fc. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H16e. % 83.65/83.83 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 83.65/83.83 cut (((op1 (e13) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H40c]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((e12) = (op1 (e10) (e10))) = ((op1 (e13) (e10)) = (op1 (e10) (e10)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H40c. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H2c. % 83.65/83.83 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 83.65/83.83 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H40d]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ]. % 83.65/83.83 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e12) = (op1 (e13) (e10)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H40d. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H16e. % 83.65/83.83 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 83.65/83.83 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H40e]. % 83.65/83.83 congruence. % 83.65/83.83 exact (zenon_H40e zenon_H40b). % 83.65/83.83 apply zenon_H16f. apply refl_equal. % 83.65/83.83 apply zenon_H16f. apply refl_equal. % 83.65/83.83 apply zenon_H1b. apply refl_equal. % 83.65/83.83 apply zenon_H16f. apply refl_equal. % 83.65/83.83 apply zenon_H16f. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L434_ *) % 83.65/83.83 assert (zenon_L435_ : ((op1 (op1 (e13) (e10)) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H401 zenon_H1ed zenon_H42 zenon_H53. % 83.65/83.83 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H40f ]. % 83.65/83.83 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H53. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H2e9. % 83.65/83.83 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H40f]. % 83.65/83.83 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H410]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((op1 (op1 (e13) (e10)) (e13)) = (e10)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H410. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H401. % 83.65/83.83 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c0]. % 83.65/83.83 cut (((op1 (op1 (e13) (e10)) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H411]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H40f ]. % 83.65/83.83 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e13) (e10)) (e13)) = (op1 (e13) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H411. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H2e9. % 83.65/83.83 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H40f]. % 83.65/83.83 cut (((op1 (e13) (e13)) = (op1 (op1 (e13) (e10)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H412]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.83 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fd]. % 83.65/83.83 congruence. % 83.65/83.83 apply zenon_H2fd. apply sym_equal. exact zenon_H1ed. % 83.65/83.83 apply zenon_H1f0. apply refl_equal. % 83.65/83.83 apply zenon_H40f. apply refl_equal. % 83.65/83.83 apply zenon_H40f. apply refl_equal. % 83.65/83.83 apply zenon_H2c0. apply sym_equal. exact zenon_H42. % 83.65/83.83 apply zenon_H40f. apply refl_equal. % 83.65/83.83 apply zenon_H40f. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L435_ *) % 83.65/83.83 assert (zenon_L436_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (op1 (e13) (e10))) = (e10))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> ((op1 (op1 (e13) (e10)) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H413 zenon_H406 zenon_H1c0 zenon_H1bf zenon_H2fc zenon_H2c zenon_H401 zenon_H42 zenon_H53. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H413); [ zenon_intro zenon_H194 | zenon_intro zenon_H414 ]. % 83.65/83.83 apply (zenon_L433_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H414); [ zenon_intro zenon_H195 | zenon_intro zenon_H415 ]. % 83.65/83.83 apply (zenon_L113_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H415); [ zenon_intro zenon_H40b | zenon_intro zenon_H1ed ]. % 83.65/83.83 apply (zenon_L434_); trivial. % 83.65/83.83 apply (zenon_L435_); trivial. % 83.65/83.83 (* end of lemma zenon_L436_ *) % 83.65/83.83 assert (zenon_L437_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (op1 (e13) (e10))) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> ((op1 (op1 (e13) (e10)) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H20d zenon_H45 zenon_H1bf zenon_H204 zenon_H14 zenon_H413 zenon_H406 zenon_H20a zenon_H2fc zenon_H2c zenon_H401 zenon_H42 zenon_H53. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ]. % 83.65/83.83 apply (zenon_L432_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ]. % 83.65/83.83 apply (zenon_L436_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ]. % 83.65/83.83 apply (zenon_L133_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H413); [ zenon_intro zenon_H194 | zenon_intro zenon_H414 ]. % 83.65/83.83 apply (zenon_L433_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H414); [ zenon_intro zenon_H195 | zenon_intro zenon_H415 ]. % 83.65/83.83 apply (zenon_L312_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H415); [ zenon_intro zenon_H40b | zenon_intro zenon_H1ed ]. % 83.65/83.83 apply (zenon_L434_); trivial. % 83.65/83.83 apply (zenon_L435_); trivial. % 83.65/83.83 (* end of lemma zenon_L437_ *) % 83.65/83.83 assert (zenon_L438_ : ((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\(((op1 (op1 (e13) (e10)) (e13)) = (e10))/\(~((op1 (op1 (e13) (e10)) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H416 zenon_H56 zenon_H2fc zenon_H20a zenon_H413 zenon_H204 zenon_H1bf zenon_H20d zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.83 apply (zenon_and_s _ _ zenon_H416). zenon_intro zenon_H406. zenon_intro zenon_H417. % 83.65/83.83 apply (zenon_and_s _ _ zenon_H417). zenon_intro zenon_H401. zenon_intro zenon_H418. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.83 apply (zenon_L437_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.83 apply (zenon_L15_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.83 apply (zenon_L17_); trivial. % 83.65/83.83 apply (zenon_L19_); trivial. % 83.65/83.83 (* end of lemma zenon_L438_ *) % 83.65/83.83 assert (zenon_L439_ : ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H17 zenon_H14 zenon_H197 zenon_H419. % 83.65/83.83 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ]. % 83.65/83.83 cut (((e13) = (e13)) = ((op1 (op1 (e13) (e11)) (e11)) = (e13))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H419. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H1ef. % 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.83 cut (((e13) = (op1 (op1 (e13) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H41a]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((e13) = (op1 (op1 (e13) (e11)) (e11)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H41a. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H17. % 83.65/83.83 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (op1 (e13) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H41b]. % 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.83 congruence. % 83.65/83.83 apply zenon_H1f0. apply refl_equal. % 83.65/83.83 cut (((op1 (e10) (op1 (e10) (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H15]. % 83.65/83.83 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H307]. % 83.65/83.83 congruence. % 83.65/83.83 apply zenon_H307. apply sym_equal. exact zenon_H197. % 83.65/83.83 apply zenon_H15. apply sym_equal. exact zenon_H14. % 83.65/83.83 apply zenon_H1f0. apply refl_equal. % 83.65/83.83 apply zenon_H1f0. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L439_ *) % 83.65/83.83 assert (zenon_L440_ : (~((op1 (e12) (e13)) = (op1 (op1 (e13) (e11)) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H41c zenon_H198. % 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.83 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H41d]. % 83.65/83.83 congruence. % 83.65/83.83 apply zenon_H41d. apply sym_equal. exact zenon_H198. % 83.65/83.83 apply zenon_H1f0. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L440_ *) % 83.65/83.83 assert (zenon_L441_ : ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H41e zenon_H198 zenon_H184 zenon_H41f. % 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H41f. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H2bd. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H420]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (e11)) = ((op1 (e12) (e13)) = (op1 (e12) (e11)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H420. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H41e. % 83.65/83.83 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28b]. % 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H421]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H421. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H2bd. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (e11)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41c]. % 83.65/83.83 congruence. % 83.65/83.83 apply (zenon_L440_); trivial. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 apply zenon_H28b. apply sym_equal. exact zenon_H184. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L441_ *) % 83.65/83.83 assert (zenon_L442_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H195 zenon_H1bf zenon_H41f zenon_H184 zenon_H41e zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.65/83.83 apply (zenon_L439_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.65/83.83 apply (zenon_L113_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.65/83.83 apply (zenon_L441_); trivial. % 83.65/83.83 apply (zenon_L149_); trivial. % 83.65/83.83 (* end of lemma zenon_L442_ *) % 83.65/83.83 assert (zenon_L443_ : (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H422 zenon_H1c0. % 83.65/83.83 cut (((op1 (e13) (e11)) = (e11)) = ((op1 (e13) (op1 (e13) (e11))) = (e11))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H422. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H1c0. % 83.65/83.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.83 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c7]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11))))); [ zenon_intro zenon_H423 | zenon_intro zenon_H424 ]. % 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11)))) = ((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e11))))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H3c7. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H423. % 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H424]. % 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H425]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3bf]. % 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.83 congruence. % 83.65/83.83 apply zenon_H1f0. apply refl_equal. % 83.65/83.83 exact (zenon_H3bf zenon_H1c0). % 83.65/83.83 apply zenon_H424. apply refl_equal. % 83.65/83.83 apply zenon_H424. apply refl_equal. % 83.65/83.83 apply zenon_H165. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L443_ *) % 83.65/83.83 assert (zenon_L444_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (e13)) = (e11)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H426 zenon_H41e zenon_H198 zenon_H20b. % 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (e11)) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H426. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H41e. % 83.65/83.83 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H20c]. % 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H421]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H421. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H2bd. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (e11)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41c]. % 83.65/83.83 congruence. % 83.65/83.83 apply (zenon_L440_); trivial. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 apply zenon_H20c. apply sym_equal. exact zenon_H20b. % 83.65/83.83 (* end of lemma zenon_L444_ *) % 83.65/83.83 assert (zenon_L445_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H422 zenon_H20b zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.65/83.83 apply (zenon_L439_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.65/83.83 apply (zenon_L443_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.65/83.83 apply (zenon_L444_); trivial. % 83.65/83.83 apply (zenon_L149_); trivial. % 83.65/83.83 (* end of lemma zenon_L445_ *) % 83.65/83.83 assert (zenon_L446_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H20d zenon_H184 zenon_H41f zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ]. % 83.65/83.83 apply (zenon_L442_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ]. % 83.65/83.83 apply (zenon_L443_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ]. % 83.65/83.83 apply (zenon_L133_); trivial. % 83.65/83.83 apply (zenon_L445_); trivial. % 83.65/83.83 (* end of lemma zenon_L446_ *) % 83.65/83.83 assert (zenon_L447_ : (((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 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H163 zenon_H177 zenon_H236 zenon_H14 zenon_H17 zenon_H426 zenon_H41e zenon_H419 zenon_H2e7 zenon_H2c zenon_H204 zenon_H1bf zenon_H41f zenon_H20d zenon_H422. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.83 apply (zenon_L9_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.83 apply (zenon_L180_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.83 apply (zenon_L446_); trivial. % 83.65/83.83 apply (zenon_L443_); trivial. % 83.65/83.83 (* end of lemma zenon_L447_ *) % 83.65/83.83 assert (zenon_L448_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1c8 zenon_H25 zenon_H42 zenon_H422 zenon_H20d zenon_H41f zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H41e zenon_H426 zenon_H236 zenon_H163 zenon_H1e zenon_H1c9 zenon_H1ff zenon_H2cd zenon_H17 zenon_H14 zenon_H419. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.83 apply (zenon_L12_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.83 apply (zenon_L447_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.83 apply (zenon_L218_); trivial. % 83.65/83.83 apply (zenon_L439_); trivial. % 83.65/83.83 (* end of lemma zenon_L448_ *) % 83.65/83.83 assert (zenon_L449_ : ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H41e zenon_H198 zenon_H16c zenon_H427. % 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H427. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H2bd. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H428]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (e11)) = ((op1 (e12) (e13)) = (op1 (e12) (e10)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H428. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H41e. % 83.65/83.83 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H421]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H421. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H2bd. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (e11)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41c]. % 83.65/83.83 congruence. % 83.65/83.83 apply (zenon_L440_); trivial. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 apply zenon_H171. apply sym_equal. exact zenon_H16c. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L449_ *) % 83.65/83.83 assert (zenon_L450_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H422 zenon_H427 zenon_H16c zenon_H41e zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.65/83.83 apply (zenon_L439_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.65/83.83 apply (zenon_L443_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.65/83.83 apply (zenon_L449_); trivial. % 83.65/83.83 apply (zenon_L149_); trivial. % 83.65/83.83 (* end of lemma zenon_L450_ *) % 83.65/83.83 assert (zenon_L451_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (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) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H426 zenon_H204 zenon_H1bf zenon_H41f zenon_H20d zenon_H42 zenon_H25 zenon_H1c8 zenon_H236 zenon_H14 zenon_H17 zenon_H41e zenon_H427 zenon_H422 zenon_H419 zenon_H2e7 zenon_H18e zenon_H2c zenon_H1d8 zenon_H1da. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ]. % 83.65/83.83 apply (zenon_L448_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ]. % 83.65/83.83 apply (zenon_L450_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ]. % 83.65/83.83 apply (zenon_L101_); trivial. % 83.65/83.83 apply (zenon_L118_); trivial. % 83.65/83.83 (* end of lemma zenon_L451_ *) % 83.65/83.83 assert (zenon_L452_ : ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H41e zenon_H198 zenon_H1eb zenon_H1e4. % 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H1e4. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H2bd. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H429]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (e11)) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H429. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H41e. % 83.65/83.83 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33c]. % 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H421]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H421. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H2bd. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (e11)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41c]. % 83.65/83.83 congruence. % 83.65/83.83 apply (zenon_L440_); trivial. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 apply zenon_H33c. apply sym_equal. exact zenon_H1eb. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 apply zenon_H2be. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L452_ *) % 83.65/83.83 assert (zenon_L453_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H195 zenon_H1bf zenon_H1e4 zenon_H1eb zenon_H41e zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.65/83.83 apply (zenon_L439_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.65/83.83 apply (zenon_L113_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.65/83.83 apply (zenon_L452_); trivial. % 83.65/83.83 apply (zenon_L149_); trivial. % 83.65/83.83 (* end of lemma zenon_L453_ *) % 83.65/83.83 assert (zenon_L454_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H340 zenon_H42 zenon_H45 zenon_H236 zenon_H14 zenon_H17 zenon_H41e zenon_H1bf zenon_H195 zenon_H419 zenon_H2e7 zenon_H1b4 zenon_H1e4 zenon_H363. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H46 | zenon_intro zenon_H341 ]. % 83.65/83.83 apply (zenon_L13_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H1eb | zenon_intro zenon_H342 ]. % 83.65/83.83 apply (zenon_L453_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H259 ]. % 83.65/83.83 apply (zenon_L122_); trivial. % 83.65/83.83 apply (zenon_L294_); trivial. % 83.65/83.83 (* end of lemma zenon_L454_ *) % 83.65/83.83 assert (zenon_L455_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H20d zenon_H363 zenon_H1e4 zenon_H1b4 zenon_H1bf zenon_H45 zenon_H42 zenon_H340 zenon_H204 zenon_H2c zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ]. % 83.65/83.83 apply (zenon_L454_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ]. % 83.65/83.83 apply (zenon_L443_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ]. % 83.65/83.83 apply (zenon_L133_); trivial. % 83.65/83.83 apply (zenon_L445_); trivial. % 83.65/83.83 (* end of lemma zenon_L455_ *) % 83.65/83.83 assert (zenon_L456_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H56 zenon_H236 zenon_H426 zenon_H41e zenon_H422 zenon_H419 zenon_H2e7 zenon_H204 zenon_H340 zenon_H1bf zenon_H1b4 zenon_H1e4 zenon_H363 zenon_H20d zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.83 apply (zenon_L455_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.83 apply (zenon_L15_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.83 apply (zenon_L17_); trivial. % 83.65/83.83 apply (zenon_L19_); trivial. % 83.65/83.83 (* end of lemma zenon_L456_ *) % 83.65/83.83 assert (zenon_L457_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (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) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H365 zenon_H1a5 zenon_H1a6 zenon_H187 zenon_H1d4 zenon_H181 zenon_H1dc zenon_H230 zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H41f zenon_H1c8 zenon_H427 zenon_H18e zenon_H1d8 zenon_H56 zenon_H236 zenon_H426 zenon_H41e zenon_H422 zenon_H419 zenon_H2e7 zenon_H204 zenon_H340 zenon_H1bf zenon_H1b4 zenon_H1e4 zenon_H20d zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ]. % 83.65/83.83 apply (zenon_L119_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ]. % 83.65/83.83 apply (zenon_L148_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ]. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.83 apply (zenon_L451_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.83 apply (zenon_L15_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.83 apply (zenon_L17_); trivial. % 83.65/83.83 apply (zenon_L19_); trivial. % 83.65/83.83 apply (zenon_L456_); trivial. % 83.65/83.83 (* end of lemma zenon_L457_ *) % 83.65/83.83 assert (zenon_L458_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (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) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1b6 zenon_H3f zenon_H365 zenon_H1a5 zenon_H1a6 zenon_H187 zenon_H1d4 zenon_H181 zenon_H1dc zenon_H230 zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H41f zenon_H1c8 zenon_H427 zenon_H18e zenon_H1d8 zenon_H56 zenon_H236 zenon_H426 zenon_H41e zenon_H422 zenon_H419 zenon_H2e7 zenon_H204 zenon_H340 zenon_H1bf zenon_H1e4 zenon_H20d zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.83 apply (zenon_L101_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.83 apply (zenon_L98_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.83 apply (zenon_L106_); trivial. % 83.65/83.83 apply (zenon_L457_); trivial. % 83.65/83.83 (* end of lemma zenon_L458_ *) % 83.65/83.83 assert (zenon_L459_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H25 zenon_H14 zenon_H17 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H20d zenon_H1bf zenon_H340 zenon_H204 zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H236 zenon_H56 zenon_H1d8 zenon_H427 zenon_H1c8 zenon_H41f zenon_H163 zenon_H1e zenon_H1c9 zenon_H2cd zenon_H35d zenon_H230 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H365 zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H2c zenon_H1e0 zenon_H1e4. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.83 apply (zenon_L116_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.83 apply (zenon_L97_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.83 apply (zenon_L458_); trivial. % 83.65/83.83 apply (zenon_L123_); trivial. % 83.65/83.83 (* end of lemma zenon_L459_ *) % 83.65/83.83 assert (zenon_L460_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (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) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1e4 zenon_H1e0 zenon_H181 zenon_H3f zenon_H18e zenon_H1b6 zenon_H365 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H230 zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H1c8 zenon_H427 zenon_H1d8 zenon_H56 zenon_H340 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H25 zenon_H2e zenon_H1cf zenon_H1e8 zenon_H236 zenon_H14 zenon_H17 zenon_H426 zenon_H41e zenon_H419 zenon_H2e7 zenon_H2c zenon_H204 zenon_H1bf zenon_H41f zenon_H20d zenon_H422. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.83 apply (zenon_L9_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.83 apply (zenon_L459_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.83 apply (zenon_L446_); trivial. % 83.65/83.83 apply (zenon_L443_); trivial. % 83.65/83.83 (* end of lemma zenon_L460_ *) % 83.65/83.83 assert (zenon_L461_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H20d zenon_H245 zenon_H244 zenon_H16d zenon_H204 zenon_H2c zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ]. % 83.65/83.83 apply (zenon_L153_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ]. % 83.65/83.83 apply (zenon_L443_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ]. % 83.65/83.83 apply (zenon_L133_); trivial. % 83.65/83.83 apply (zenon_L445_); trivial. % 83.65/83.83 (* end of lemma zenon_L461_ *) % 83.65/83.83 assert (zenon_L462_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H20d zenon_H163 zenon_H204 zenon_H2c zenon_H2e7 zenon_H194 zenon_H1bf zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ]. % 83.65/83.83 apply (zenon_L102_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ]. % 83.65/83.83 apply (zenon_L443_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ]. % 83.65/83.83 apply (zenon_L133_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.65/83.83 apply (zenon_L247_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.65/83.83 apply (zenon_L443_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.65/83.83 apply (zenon_L444_); trivial. % 83.65/83.83 apply (zenon_L149_); trivial. % 83.65/83.83 (* end of lemma zenon_L462_ *) % 83.65/83.83 assert (zenon_L463_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1c8 zenon_H25 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H422 zenon_H20d zenon_H41f zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H41e zenon_H426 zenon_H236 zenon_H163 zenon_H1e zenon_H1c9 zenon_H260 zenon_H161 zenon_H230 zenon_H17 zenon_H14 zenon_H419. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.83 apply (zenon_L20_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.83 apply (zenon_L447_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.83 apply (zenon_L166_); trivial. % 83.65/83.83 apply (zenon_L439_); trivial. % 83.65/83.83 (* end of lemma zenon_L463_ *) % 83.65/83.83 assert (zenon_L464_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e11) (e12)) = (e10)) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1b0 zenon_H236 zenon_H426 zenon_H41e zenon_H422 zenon_H1bf zenon_H2e7 zenon_H204 zenon_H163 zenon_H20d zenon_H419 zenon_H19b zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.65/83.83 apply (zenon_L462_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.65/83.83 apply (zenon_L439_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.65/83.83 apply (zenon_L104_); trivial. % 83.65/83.83 apply (zenon_L19_); trivial. % 83.65/83.83 (* end of lemma zenon_L464_ *) % 83.65/83.83 assert (zenon_L465_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H1aa zenon_H419 zenon_H20d zenon_H163 zenon_H204 zenon_H2e7 zenon_H1bf zenon_H422 zenon_H41e zenon_H426 zenon_H236 zenon_H1b0 zenon_H1e4 zenon_H1e5. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.83 apply (zenon_L101_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.83 apply (zenon_L98_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.65/83.83 apply (zenon_L462_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.65/83.83 apply (zenon_L439_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.65/83.83 apply (zenon_L108_); trivial. % 83.65/83.83 apply (zenon_L19_); trivial. % 83.65/83.83 apply (zenon_L122_); trivial. % 83.65/83.83 (* end of lemma zenon_L465_ *) % 83.65/83.83 assert (zenon_L466_ : (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e12) (e11)) = (op1 (e11) (e12))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H419 zenon_H270 zenon_H198 zenon_H1ab. % 83.65/83.83 cut (((op1 (e12) (e11)) = (op1 (e11) (e12))) = ((op1 (op1 (e13) (e11)) (e11)) = (e13))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H419. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H270. % 83.65/83.83 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 83.65/83.83 cut (((op1 (e12) (e11)) = (op1 (op1 (e13) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H42a]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (op1 (e13) (e11)) (e11)) = (op1 (op1 (e13) (e11)) (e11)))); [ zenon_intro zenon_H42b | zenon_intro zenon_H42c ]. % 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e11)) = (op1 (op1 (e13) (e11)) (e11))) = ((op1 (e12) (e11)) = (op1 (op1 (e13) (e11)) (e11)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H42a. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H42b. % 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e11)) = (op1 (op1 (e13) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H42c]. % 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H42d]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.83 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 83.65/83.83 congruence. % 83.65/83.83 exact (zenon_H199 zenon_H198). % 83.65/83.83 apply zenon_H165. apply refl_equal. % 83.65/83.83 apply zenon_H42c. apply refl_equal. % 83.65/83.83 apply zenon_H42c. apply refl_equal. % 83.65/83.83 exact (zenon_H251 zenon_H1ab). % 83.65/83.83 (* end of lemma zenon_L466_ *) % 83.65/83.83 assert (zenon_L467_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e12) (e11)) = (op1 (e11) (e12))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H195 zenon_H1bf zenon_H1ab zenon_H270 zenon_H419 zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.65/83.83 apply (zenon_L439_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.65/83.83 apply (zenon_L113_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.65/83.83 apply (zenon_L466_); trivial. % 83.65/83.83 apply (zenon_L149_); trivial. % 83.65/83.83 (* end of lemma zenon_L467_ *) % 83.65/83.83 assert (zenon_L468_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e11)) = (op1 (e11) (e12))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H20d zenon_H270 zenon_H1ab zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ]. % 83.65/83.83 apply (zenon_L467_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ]. % 83.65/83.83 apply (zenon_L443_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ]. % 83.65/83.83 apply (zenon_L133_); trivial. % 83.65/83.83 apply (zenon_L445_); trivial. % 83.65/83.83 (* end of lemma zenon_L468_ *) % 83.65/83.83 assert (zenon_L469_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (op1 (e11) (e12))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H50 zenon_H45 zenon_H340 zenon_H56 zenon_H1d8 zenon_H427 zenon_H1c8 zenon_H41f zenon_H1e zenon_H1c9 zenon_H2cd zenon_H35d zenon_H230 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H365 zenon_H25d zenon_H1e4 zenon_H1b0 zenon_H163 zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H25 zenon_H181 zenon_H3f zenon_H18e zenon_H1b6 zenon_H229 zenon_H236 zenon_H14 zenon_H17 zenon_H426 zenon_H41e zenon_H422 zenon_H419 zenon_H2e7 zenon_H2c zenon_H204 zenon_H1bf zenon_H270 zenon_H20d zenon_H25a. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.83 apply (zenon_L116_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.83 apply (zenon_L97_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.83 apply (zenon_L458_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ]. % 83.65/83.83 apply (zenon_L465_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ]. % 83.65/83.83 apply (zenon_L147_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ]. % 83.65/83.83 apply (zenon_L468_); trivial. % 83.65/83.83 apply (zenon_L162_); trivial. % 83.65/83.83 (* end of lemma zenon_L469_ *) % 83.65/83.83 assert (zenon_L470_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e11) (e13))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H25 zenon_H14 zenon_H17 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H20d zenon_H1bf zenon_H340 zenon_H204 zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H236 zenon_H56 zenon_H1d8 zenon_H427 zenon_H1c8 zenon_H41f zenon_H163 zenon_H1e zenon_H1c9 zenon_H2cd zenon_H35d zenon_H230 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H365 zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H27d zenon_H1e4. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.83 apply (zenon_L116_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.83 apply (zenon_L97_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.83 apply (zenon_L458_); trivial. % 83.65/83.83 apply (zenon_L186_); trivial. % 83.65/83.83 (* end of lemma zenon_L470_ *) % 83.65/83.83 assert (zenon_L471_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (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) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (op1 (e12) (e10))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H426 zenon_H204 zenon_H1bf zenon_H41f zenon_H20d zenon_H25 zenon_H1c8 zenon_H236 zenon_H14 zenon_H17 zenon_H41e zenon_H427 zenon_H422 zenon_H419 zenon_H2e7 zenon_H18e zenon_H2c zenon_H28f zenon_H42. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ]. % 83.65/83.83 apply (zenon_L448_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ]. % 83.65/83.83 apply (zenon_L450_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ]. % 83.65/83.83 apply (zenon_L101_); trivial. % 83.65/83.83 apply (zenon_L191_); trivial. % 83.65/83.83 (* end of lemma zenon_L471_ *) % 83.65/83.83 assert (zenon_L472_ : ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H29d zenon_H1ab zenon_H198 zenon_H419. % 83.65/83.83 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ]. % 83.65/83.83 cut (((e13) = (e13)) = ((op1 (op1 (e13) (e11)) (e11)) = (e13))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H419. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H1ef. % 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.83 cut (((e13) = (op1 (op1 (e13) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H41a]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (e12) (e11))) = ((e13) = (op1 (op1 (e13) (e11)) (e11)))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H41a. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H29d. % 83.65/83.83 cut (((op1 (e12) (e11)) = (op1 (op1 (e13) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H42a]. % 83.65/83.83 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 83.65/83.83 congruence. % 83.65/83.83 exact (zenon_H251 zenon_H1ab). % 83.65/83.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.83 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H41d]. % 83.65/83.83 congruence. % 83.65/83.83 apply zenon_H41d. apply sym_equal. exact zenon_H198. % 83.65/83.83 apply zenon_H165. apply refl_equal. % 83.65/83.83 apply zenon_H1f0. apply refl_equal. % 83.65/83.83 apply zenon_H1f0. apply refl_equal. % 83.65/83.83 (* end of lemma zenon_L472_ *) % 83.65/83.83 assert (zenon_L473_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H195 zenon_H1bf zenon_H419 zenon_H1ab zenon_H29d zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.65/83.83 apply (zenon_L439_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.65/83.83 apply (zenon_L113_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.65/83.83 apply (zenon_L472_); trivial. % 83.65/83.83 apply (zenon_L149_); trivial. % 83.65/83.83 (* end of lemma zenon_L473_ *) % 83.65/83.83 assert (zenon_L474_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1ad zenon_H19c zenon_H19a zenon_H1a0 zenon_H2c zenon_H1a7 zenon_H1a5 zenon_H2e7 zenon_H195 zenon_H1bf zenon_H419 zenon_H29d zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ]. % 83.65/83.83 apply (zenon_L104_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ]. % 83.65/83.83 apply (zenon_L105_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ]. % 83.65/83.83 apply (zenon_L106_); trivial. % 83.65/83.83 apply (zenon_L473_); trivial. % 83.65/83.83 (* end of lemma zenon_L474_ *) % 83.65/83.83 assert (zenon_L475_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1b0 zenon_H163 zenon_H236 zenon_H29d zenon_H419 zenon_H1bf zenon_H195 zenon_H2e7 zenon_H1a5 zenon_H1a7 zenon_H1a0 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.65/83.83 apply (zenon_L102_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.65/83.83 apply (zenon_L439_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.65/83.83 apply (zenon_L474_); trivial. % 83.65/83.83 apply (zenon_L19_); trivial. % 83.65/83.83 (* end of lemma zenon_L475_ *) % 83.65/83.83 assert (zenon_L476_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H236 zenon_H14 zenon_H17 zenon_H426 zenon_H41e zenon_H422 zenon_H419 zenon_H2e7 zenon_H2c zenon_H204 zenon_H1b0 zenon_H163 zenon_H29d zenon_H1bf zenon_H1a5 zenon_H1a0 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H25 zenon_H20d zenon_H1e4 zenon_H1e5. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.83 apply (zenon_L101_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.83 apply (zenon_L98_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ]. % 83.65/83.83 apply (zenon_L475_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ]. % 83.65/83.83 apply (zenon_L443_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ]. % 83.65/83.83 apply (zenon_L133_); trivial. % 83.65/83.83 apply (zenon_L445_); trivial. % 83.65/83.83 apply (zenon_L122_); trivial. % 83.65/83.83 (* end of lemma zenon_L476_ *) % 83.65/83.83 assert (zenon_L477_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e12))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H25 zenon_H14 zenon_H17 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H20d zenon_H1bf zenon_H340 zenon_H204 zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H236 zenon_H56 zenon_H1d8 zenon_H427 zenon_H1c8 zenon_H41f zenon_H163 zenon_H1e zenon_H1c9 zenon_H2cd zenon_H35d zenon_H230 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H365 zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H2ac zenon_H1e4. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.83 apply (zenon_L116_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.83 apply (zenon_L97_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.83 apply (zenon_L101_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.83 apply (zenon_L98_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.83 apply (zenon_L200_); trivial. % 83.65/83.83 apply (zenon_L457_); trivial. % 83.65/83.83 apply (zenon_L201_); trivial. % 83.65/83.83 (* end of lemma zenon_L477_ *) % 83.65/83.83 assert (zenon_L478_ : (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (e13) (e12)) = (op1 (e12) (e13))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e12) (e13)) = (e11)) -> False). % 83.65/83.83 do 0 intro. intros zenon_H422 zenon_H2bc zenon_H198 zenon_H1b3. % 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e12) (e13))) = ((op1 (e13) (op1 (e13) (e11))) = (e11))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H422. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H2bc. % 83.65/83.83 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3ed]. % 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H42e]. % 83.65/83.83 congruence. % 83.65/83.83 elim (classic ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11))))); [ zenon_intro zenon_H423 | zenon_intro zenon_H424 ]. % 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11)))) = ((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e11))))). % 83.65/83.83 intro zenon_D_pnotp. % 83.65/83.83 apply zenon_H42e. % 83.65/83.83 rewrite <- zenon_D_pnotp. % 83.65/83.83 exact zenon_H423. % 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H424]. % 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H42f]. % 83.65/83.83 congruence. % 83.65/83.83 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.83 congruence. % 83.65/83.83 apply zenon_H1f0. apply refl_equal. % 83.65/83.83 exact (zenon_H199 zenon_H198). % 83.65/83.83 apply zenon_H424. apply refl_equal. % 83.65/83.83 apply zenon_H424. apply refl_equal. % 83.65/83.83 exact (zenon_H3ed zenon_H1b3). % 83.65/83.83 (* end of lemma zenon_L478_ *) % 83.65/83.83 assert (zenon_L479_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (op1 (e12) (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H195 zenon_H1bf zenon_H1b3 zenon_H2bc zenon_H422 zenon_H17 zenon_H14 zenon_H236. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.65/83.83 apply (zenon_L439_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.65/83.83 apply (zenon_L113_); trivial. % 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.65/83.83 apply (zenon_L478_); trivial. % 83.65/83.83 apply (zenon_L149_); trivial. % 83.65/83.83 (* end of lemma zenon_L479_ *) % 83.65/83.83 assert (zenon_L480_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H1b6 zenon_H3f zenon_H365 zenon_H1a5 zenon_H1a6 zenon_H187 zenon_H1d4 zenon_H181 zenon_H1dc zenon_H230 zenon_H1d8 zenon_H18e zenon_H427 zenon_H1c8 zenon_H25 zenon_H41f zenon_H163 zenon_H1e zenon_H1c9 zenon_H2cd zenon_H35d zenon_H20d zenon_H1e4 zenon_H1bf zenon_H45 zenon_H42 zenon_H340 zenon_H204 zenon_H2c zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.84 apply (zenon_L101_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.84 apply (zenon_L98_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.84 apply (zenon_L106_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ]. % 83.65/83.84 apply (zenon_L119_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ]. % 83.65/83.84 apply (zenon_L148_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ]. % 83.65/83.84 apply (zenon_L451_); trivial. % 83.65/83.84 apply (zenon_L455_); trivial. % 83.65/83.84 (* end of lemma zenon_L480_ *) % 83.65/83.84 assert (zenon_L481_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H195 zenon_H1bf zenon_H1a7 zenon_H2c9 zenon_H17 zenon_H14 zenon_H236. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.65/83.84 apply (zenon_L439_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.65/83.84 apply (zenon_L113_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.65/83.84 apply (zenon_L214_); trivial. % 83.65/83.84 apply (zenon_L149_); trivial. % 83.65/83.84 (* end of lemma zenon_L481_ *) % 83.65/83.84 assert (zenon_L482_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H20d zenon_H2c9 zenon_H1a7 zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ]. % 83.65/83.84 apply (zenon_L481_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ]. % 83.65/83.84 apply (zenon_L443_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ]. % 83.65/83.84 apply (zenon_L133_); trivial. % 83.65/83.84 apply (zenon_L445_); trivial. % 83.65/83.84 (* end of lemma zenon_L482_ *) % 83.65/83.84 assert (zenon_L483_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H236 zenon_H14 zenon_H17 zenon_H426 zenon_H41e zenon_H422 zenon_H419 zenon_H2e7 zenon_H2c zenon_H204 zenon_H1bf zenon_H2c9 zenon_H20d zenon_H1e4 zenon_H1e5. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ]. % 83.65/83.84 apply (zenon_L101_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ]. % 83.65/83.84 apply (zenon_L98_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ]. % 83.65/83.84 apply (zenon_L482_); trivial. % 83.65/83.84 apply (zenon_L122_); trivial. % 83.65/83.84 (* end of lemma zenon_L483_ *) % 83.65/83.84 assert (zenon_L484_ : (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H422 zenon_H20d zenon_H41f zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H41e zenon_H426 zenon_H236 zenon_H1e8 zenon_H1cf zenon_H2e zenon_H340 zenon_H42 zenon_H45 zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H25 zenon_H1c8 zenon_H427 zenon_H1d8 zenon_H230 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H365 zenon_H1b6 zenon_H18e zenon_H3f zenon_H2c9 zenon_H1e4 zenon_H17 zenon_H14 zenon_H419. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.84 apply (zenon_L12_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.84 apply (zenon_L447_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.84 apply (zenon_L9_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.84 apply (zenon_L116_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.84 apply (zenon_L97_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.84 apply (zenon_L480_); trivial. % 83.65/83.84 apply (zenon_L483_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.84 apply (zenon_L446_); trivial. % 83.65/83.84 apply (zenon_L443_); trivial. % 83.65/83.84 apply (zenon_L439_); trivial. % 83.65/83.84 (* end of lemma zenon_L484_ *) % 83.65/83.84 assert (zenon_L485_ : ((op1 (e12) (e13)) = (op1 (e13) (e12))) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H2d5 zenon_H1b3 zenon_H198 zenon_H422. % 83.65/83.84 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ]. % 83.65/83.84 cut (((e11) = (e11)) = ((op1 (e13) (op1 (e13) (e11))) = (e11))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H422. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H164. % 83.65/83.84 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 83.65/83.84 cut (((e11) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H430]. % 83.65/83.84 congruence. % 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e13) (e12))) = ((e11) = (op1 (e13) (op1 (e13) (e11))))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H430. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H2d5. % 83.65/83.84 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H42e]. % 83.65/83.84 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3ed]. % 83.65/83.84 congruence. % 83.65/83.84 exact (zenon_H3ed zenon_H1b3). % 83.65/83.84 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H41d]. % 83.65/83.84 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.84 congruence. % 83.65/83.84 apply zenon_H1f0. apply refl_equal. % 83.65/83.84 apply zenon_H41d. apply sym_equal. exact zenon_H198. % 83.65/83.84 apply zenon_H165. apply refl_equal. % 83.65/83.84 apply zenon_H165. apply refl_equal. % 83.65/83.84 (* end of lemma zenon_L485_ *) % 83.65/83.84 assert (zenon_L486_ : (((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)) = (e12)) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H2e3 zenon_H53 zenon_H198 zenon_H41e zenon_H426 zenon_H1e5 zenon_H343 zenon_H2df zenon_H42. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e4 ]. % 83.65/83.84 apply (zenon_L18_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H20b | zenon_intro zenon_H2e5 ]. % 83.65/83.84 apply (zenon_L444_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2da | zenon_intro zenon_H2dd ]. % 83.65/83.84 apply (zenon_L265_); trivial. % 83.65/83.84 apply (zenon_L225_); trivial. % 83.65/83.84 (* end of lemma zenon_L486_ *) % 83.65/83.84 assert (zenon_L487_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H422 zenon_H42 zenon_H2df zenon_H343 zenon_H1e5 zenon_H426 zenon_H41e zenon_H53 zenon_H2e3 zenon_H17 zenon_H14 zenon_H236. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.65/83.84 apply (zenon_L439_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.65/83.84 apply (zenon_L443_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.65/83.84 apply (zenon_L486_); trivial. % 83.65/83.84 apply (zenon_L149_); trivial. % 83.65/83.84 (* end of lemma zenon_L487_ *) % 83.65/83.84 assert (zenon_L488_ : (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (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) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H422 zenon_H20d zenon_H41f zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H41e zenon_H426 zenon_H236 zenon_H1e8 zenon_H1cf zenon_H2e zenon_H340 zenon_H45 zenon_H1e4 zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H25 zenon_H1c8 zenon_H427 zenon_H18e zenon_H1d8 zenon_H230 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H365 zenon_H3f zenon_H1b6 zenon_H42 zenon_H2df zenon_H343 zenon_H53 zenon_H2e3 zenon_H17 zenon_H14 zenon_H419. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.84 apply (zenon_L12_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.84 apply (zenon_L447_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.84 apply (zenon_L9_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.84 apply (zenon_L116_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.84 apply (zenon_L97_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.84 apply (zenon_L480_); trivial. % 83.65/83.84 apply (zenon_L487_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.84 apply (zenon_L446_); trivial. % 83.65/83.84 apply (zenon_L443_); trivial. % 83.65/83.84 apply (zenon_L439_); trivial. % 83.65/83.84 (* end of lemma zenon_L488_ *) % 83.65/83.84 assert (zenon_L489_ : ((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\(((op1 (op1 (e13) (e11)) (e13)) = (e11))/\(~((op1 (op1 (e13) (e11)) (e11)) = (e13))))) -> ((((op1 (e10) (e10)) = (op1 (e10) (e10)))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e10))) = (e13)))))))\/((((op1 (e11) (e10)) = (op1 (e10) (e11)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e11))) = (e13)))))))\/((((op1 (e12) (e10)) = (op1 (e10) (e12)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e12))) = (e13)))))))\/((((op1 (e13) (e10)) = (op1 (e10) (e13)))/\((~((op1 (e10) (op1 (e10) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e13))) = (e13)))))))\/((((op1 (e10) (e11)) = (op1 (e11) (e10)))/\((~((op1 (e10) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e10))) = (e13)))))))\/((((op1 (e11) (e11)) = (op1 (e11) (e11)))/\((~((op1 (e10) (op1 (e11) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e11))) = (e13)))))))\/((((op1 (e12) (e11)) = (op1 (e11) (e12)))/\((~((op1 (e10) (op1 (e11) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e12))) = (e13)))))))\/((((op1 (e13) (e11)) = (op1 (e11) (e13)))/\((~((op1 (e10) (op1 (e11) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e13))) = (e13)))))))\/((((op1 (e10) (e12)) = (op1 (e12) (e10)))/\((~((op1 (e10) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e10))) = (e13)))))))\/((((op1 (e11) (e12)) = (op1 (e12) (e11)))/\((~((op1 (e10) (op1 (e12) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e11))) = (e13)))))))\/((((op1 (e12) (e12)) = (op1 (e12) (e12)))/\((~((op1 (e10) (op1 (e12) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e12))) = (e13)))))))\/((((op1 (e13) (e12)) = (op1 (e12) (e13)))/\((~((op1 (e10) (op1 (e12) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e13))) = (e13)))))))\/((((op1 (e10) (e13)) = (op1 (e13) (e10)))/\((~((op1 (e10) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e10))) = (e13)))))))\/((((op1 (e11) (e13)) = (op1 (e13) (e11)))/\((~((op1 (e10) (op1 (e13) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e11))) = (e13)))))))\/((((op1 (e12) (e13)) = (op1 (e13) (e12)))/\((~((op1 (e10) (op1 (e13) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e12))) = (e13)))))))\/(((op1 (e13) (e13)) = (op1 (e13) (e13)))/\((~((op1 (e10) (op1 (e13) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (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 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H431 zenon_H37d zenon_H23d zenon_H16d zenon_H432 zenon_H276 zenon_H25a zenon_H229 zenon_H1a9 zenon_H25d zenon_H1ad zenon_H19a zenon_H1a0 zenon_H252 zenon_H1b0 zenon_H50 zenon_H56 zenon_H1ba zenon_H4d zenon_H2e3 zenon_H53 zenon_H343 zenon_H1b6 zenon_H3f zenon_H365 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H230 zenon_H1d8 zenon_H18e zenon_H427 zenon_H1c8 zenon_H163 zenon_H1e zenon_H1c9 zenon_H2cd zenon_H35d zenon_H1e4 zenon_H45 zenon_H340 zenon_H2e zenon_H1cf zenon_H1e8 zenon_H236 zenon_H426 zenon_H2e7 zenon_H204 zenon_H1bf zenon_H41f zenon_H20d zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H431). zenon_intro zenon_H422. zenon_intro zenon_H433. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H433). zenon_intro zenon_H41e. zenon_intro zenon_H419. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.84 apply (zenon_L20_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.84 apply (zenon_L447_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.84 apply (zenon_L460_); trivial. % 83.65/83.84 apply (zenon_L439_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.65/83.84 apply (zenon_L150_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_H244 | zenon_intro zenon_H434 ]. % 83.65/83.84 apply (zenon_L461_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H434); [ zenon_intro zenon_H19f | zenon_intro zenon_H435 ]. % 83.65/83.84 apply (zenon_L105_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H186 | zenon_intro zenon_H203 ]. % 83.65/83.84 apply (zenon_L100_); trivial. % 83.65/83.84 apply (zenon_L133_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.65/83.84 apply (zenon_L462_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.65/83.84 apply (zenon_L439_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.65/83.84 apply (zenon_L298_); trivial. % 83.65/83.84 apply (zenon_L19_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ]. % 83.65/83.84 apply (zenon_L463_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ]. % 83.65/83.84 apply (zenon_L447_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ]. % 83.65/83.84 apply (zenon_L464_); trivial. % 83.65/83.84 apply (zenon_L15_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.84 apply (zenon_L9_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.84 apply (zenon_L170_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.84 apply (zenon_L446_); trivial. % 83.65/83.84 apply (zenon_L443_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H270. zenon_intro zenon_H277. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.84 apply (zenon_L20_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.84 apply (zenon_L447_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.84 apply (zenon_L9_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.84 apply (zenon_L469_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.84 apply (zenon_L446_); trivial. % 83.65/83.84 apply (zenon_L443_); trivial. % 83.65/83.84 apply (zenon_L439_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H284. zenon_intro zenon_H283. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H286. zenon_intro zenon_H285. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H288. zenon_intro zenon_H287. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H27d. zenon_intro zenon_H289. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.84 apply (zenon_L20_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.84 apply (zenon_L447_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.84 apply (zenon_L9_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.84 apply (zenon_L470_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.84 apply (zenon_L446_); trivial. % 83.65/83.84 apply (zenon_L443_); trivial. % 83.65/83.84 apply (zenon_L439_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H293. zenon_intro zenon_H295. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28f. zenon_intro zenon_H296. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.84 apply (zenon_L471_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.84 apply (zenon_L15_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.84 apply (zenon_L17_); trivial. % 83.65/83.84 apply (zenon_L19_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H29d. zenon_intro zenon_H2a5. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.84 apply (zenon_L20_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.84 apply (zenon_L447_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.84 apply (zenon_L9_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ]. % 83.65/83.84 apply (zenon_L116_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ]. % 83.65/83.84 apply (zenon_L97_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ]. % 83.65/83.84 apply (zenon_L458_); trivial. % 83.65/83.84 apply (zenon_L476_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.84 apply (zenon_L446_); trivial. % 83.65/83.84 apply (zenon_L443_); trivial. % 83.65/83.84 apply (zenon_L439_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H188. zenon_intro zenon_H2b3. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2b5. zenon_intro zenon_H2b4. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2b7. zenon_intro zenon_H2b6. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2ac. zenon_intro zenon_H2b8. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ]. % 83.65/83.84 apply (zenon_L20_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ]. % 83.65/83.84 apply (zenon_L447_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ]. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.65/83.84 apply (zenon_L9_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.65/83.84 apply (zenon_L477_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.65/83.84 apply (zenon_L446_); trivial. % 83.65/83.84 apply (zenon_L443_); trivial. % 83.65/83.84 apply (zenon_L439_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2bc. zenon_intro zenon_H2c3. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ]. % 83.65/83.84 apply (zenon_L450_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ]. % 83.65/83.84 apply (zenon_L446_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ]. % 83.65/83.84 apply (zenon_L100_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ]. % 83.65/83.84 apply (zenon_L479_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ]. % 83.65/83.84 apply (zenon_L443_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ]. % 83.65/83.84 apply (zenon_L133_); trivial. % 83.65/83.84 apply (zenon_L445_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c4. zenon_intro zenon_H2c6. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ]. % 83.65/83.84 apply (zenon_L462_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ]. % 83.65/83.84 apply (zenon_L439_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ]. % 83.65/83.84 apply (zenon_L208_); trivial. % 83.65/83.84 apply (zenon_L19_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2c7. zenon_intro zenon_H2cf. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d3. zenon_intro zenon_H2d2. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H2c9. zenon_intro zenon_H2d4. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ]. % 83.65/83.84 apply (zenon_L484_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ]. % 83.65/83.84 apply (zenon_L15_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ]. % 83.65/83.84 apply (zenon_L17_); trivial. % 83.65/83.84 apply (zenon_L19_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2d5. zenon_intro zenon_H2d8. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ]. % 83.65/83.84 apply (zenon_L450_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ]. % 83.65/83.84 apply (zenon_L446_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ]. % 83.65/83.84 apply (zenon_L100_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.65/83.84 apply (zenon_L439_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.65/83.84 apply (zenon_L443_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.65/83.84 apply (zenon_L485_); trivial. % 83.65/83.84 apply (zenon_L149_); trivial. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2df. zenon_intro zenon_H2ea. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H42 | zenon_intro zenon_H4e ]. % 83.65/83.84 apply (zenon_L488_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ]. % 83.65/83.84 apply (zenon_L10_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H48 | zenon_intro zenon_H24 ]. % 83.65/83.84 apply (zenon_L14_); trivial. % 83.65/83.84 apply (zenon_L5_); trivial. % 83.65/83.84 (* end of lemma zenon_L489_ *) % 83.65/83.84 assert (zenon_L490_ : (~((op1 (e10) (e13)) = (op1 (op1 (e13) (e12)) (e13)))) -> ((op1 (e13) (e12)) = (e10)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H436 zenon_H19c. % 83.65/83.84 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.84 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 83.65/83.84 congruence. % 83.65/83.84 apply zenon_H19d. apply sym_equal. exact zenon_H19c. % 83.65/83.84 apply zenon_H1f0. apply refl_equal. % 83.65/83.84 (* end of lemma zenon_L490_ *) % 83.65/83.84 assert (zenon_L491_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e11) (e13)) = (e12)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H45 zenon_H437 zenon_H19c zenon_H1e5. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H45. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H437. % 83.65/83.84 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f7]. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H438]. % 83.65/83.84 congruence. % 83.65/83.84 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ]. % 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e10) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H438. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H26. % 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H436]. % 83.65/83.84 congruence. % 83.65/83.84 apply (zenon_L490_); trivial. % 83.65/83.84 apply zenon_H27. apply refl_equal. % 83.65/83.84 apply zenon_H27. apply refl_equal. % 83.65/83.84 apply zenon_H2f7. apply sym_equal. exact zenon_H1e5. % 83.65/83.84 (* end of lemma zenon_L491_ *) % 83.65/83.84 assert (zenon_L492_ : (~((op1 (e12) (e13)) = (op1 (op1 (e13) (e12)) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H439 zenon_H32d. % 83.65/83.84 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.84 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32e]. % 83.65/83.84 congruence. % 83.65/83.84 apply zenon_H32e. apply sym_equal. exact zenon_H32d. % 83.65/83.84 apply zenon_H1f0. apply refl_equal. % 83.65/83.84 (* end of lemma zenon_L492_ *) % 83.65/83.84 assert (zenon_L493_ : ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H437 zenon_H32d zenon_H1e5 zenon_H1e4. % 83.65/83.84 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H1e4. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H2bd. % 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H429]. % 83.65/83.84 congruence. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H429. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H437. % 83.65/83.84 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f7]. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43a]. % 83.65/83.84 congruence. % 83.65/83.84 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e12) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H43a. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H2bd. % 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H439]. % 83.65/83.84 congruence. % 83.65/83.84 apply (zenon_L492_); trivial. % 83.65/83.84 apply zenon_H2be. apply refl_equal. % 83.65/83.84 apply zenon_H2be. apply refl_equal. % 83.65/83.84 apply zenon_H2f7. apply sym_equal. exact zenon_H1e5. % 83.65/83.84 apply zenon_H2be. apply refl_equal. % 83.65/83.84 apply zenon_H2be. apply refl_equal. % 83.65/83.84 (* end of lemma zenon_L493_ *) % 83.65/83.84 assert (zenon_L494_ : (~((op1 (e13) (e13)) = (op1 (op1 (e13) (e12)) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H43b zenon_H36d. % 83.65/83.84 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.84 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f6]. % 83.65/83.84 congruence. % 83.65/83.84 apply zenon_H3f6. apply sym_equal. exact zenon_H36d. % 83.65/83.84 apply zenon_H1f0. apply refl_equal. % 83.65/83.84 (* end of lemma zenon_L494_ *) % 83.65/83.84 assert (zenon_L495_ : ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H437 zenon_H36d zenon_H1e5 zenon_H343. % 83.65/83.84 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H40f ]. % 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H343. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H2e9. % 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H40f]. % 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43c]. % 83.65/83.84 congruence. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e13) (e13)) = (op1 (e11) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H43c. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H437. % 83.65/83.84 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f7]. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43d]. % 83.65/83.84 congruence. % 83.65/83.84 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H40f ]. % 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e13) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H43d. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H2e9. % 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H40f]. % 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43b]. % 83.65/83.84 congruence. % 83.65/83.84 apply (zenon_L494_); trivial. % 83.65/83.84 apply zenon_H40f. apply refl_equal. % 83.65/83.84 apply zenon_H40f. apply refl_equal. % 83.65/83.84 apply zenon_H2f7. apply sym_equal. exact zenon_H1e5. % 83.65/83.84 apply zenon_H40f. apply refl_equal. % 83.65/83.84 apply zenon_H40f. apply refl_equal. % 83.65/83.84 (* end of lemma zenon_L495_ *) % 83.65/83.84 assert (zenon_L496_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H43e zenon_H45 zenon_H204 zenon_H2c zenon_H14 zenon_H1e4 zenon_H437 zenon_H1e5 zenon_H343. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H19c | zenon_intro zenon_H43f ]. % 83.65/83.84 apply (zenon_L491_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H203 | zenon_intro zenon_H440 ]. % 83.65/83.84 apply (zenon_L133_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H32d | zenon_intro zenon_H36d ]. % 83.65/83.84 apply (zenon_L493_); trivial. % 83.65/83.84 apply (zenon_L495_); trivial. % 83.65/83.84 (* end of lemma zenon_L496_ *) % 83.65/83.84 assert (zenon_L497_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H50 zenon_H437 zenon_H19c zenon_H1b4. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H50. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H437. % 83.65/83.84 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e6]. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H438]. % 83.65/83.84 congruence. % 83.65/83.84 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ]. % 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e10) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H438. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H26. % 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H436]. % 83.65/83.84 congruence. % 83.65/83.84 apply (zenon_L490_); trivial. % 83.65/83.84 apply zenon_H27. apply refl_equal. % 83.65/83.84 apply zenon_H27. apply refl_equal. % 83.65/83.84 apply zenon_H1e6. apply sym_equal. exact zenon_H1b4. % 83.65/83.84 (* end of lemma zenon_L497_ *) % 83.65/83.84 assert (zenon_L498_ : (~((op1 (e13) (op1 (e13) (e12))) = (e12))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H441 zenon_H32d. % 83.65/83.84 cut (((op1 (e13) (e12)) = (e12)) = ((op1 (e13) (op1 (e13) (e12))) = (e12))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H441. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H32d. % 83.65/83.84 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.65/83.84 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H442]. % 83.65/83.84 congruence. % 83.65/83.84 elim (classic ((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (op1 (e13) (e12))))); [ zenon_intro zenon_H443 | zenon_intro zenon_H444 ]. % 83.65/83.84 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (op1 (e13) (e12)))) = ((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e12))))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H442. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H443. % 83.65/83.84 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H444]. % 83.65/83.84 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H445]. % 83.65/83.84 congruence. % 83.65/83.84 cut (((op1 (e13) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H446]. % 83.65/83.84 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.65/83.84 congruence. % 83.65/83.84 apply zenon_H1f0. apply refl_equal. % 83.65/83.84 exact (zenon_H446 zenon_H32d). % 83.65/83.84 apply zenon_H444. apply refl_equal. % 83.65/83.84 apply zenon_H444. apply refl_equal. % 83.65/83.84 apply zenon_H2b. apply refl_equal. % 83.65/83.84 (* end of lemma zenon_L498_ *) % 83.65/83.84 assert (zenon_L499_ : ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H437 zenon_H36d zenon_H1b4 zenon_H426. % 83.65/83.84 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H40f ]. % 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H426. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H2e9. % 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H40f]. % 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H447]. % 83.65/83.84 congruence. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e13) (e13)) = (op1 (e12) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H447. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H437. % 83.65/83.84 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e6]. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43d]. % 83.65/83.84 congruence. % 83.65/83.84 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H40f ]. % 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e13) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H43d. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H2e9. % 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H40f]. % 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43b]. % 83.65/83.84 congruence. % 83.65/83.84 apply (zenon_L494_); trivial. % 83.65/83.84 apply zenon_H40f. apply refl_equal. % 83.65/83.84 apply zenon_H40f. apply refl_equal. % 83.65/83.84 apply zenon_H1e6. apply sym_equal. exact zenon_H1b4. % 83.65/83.84 apply zenon_H40f. apply refl_equal. % 83.65/83.84 apply zenon_H40f. apply refl_equal. % 83.65/83.84 (* end of lemma zenon_L499_ *) % 83.65/83.84 assert (zenon_L500_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e13) (op1 (e13) (e12))) = (e12))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H43e zenon_H50 zenon_H204 zenon_H2c zenon_H14 zenon_H441 zenon_H437 zenon_H1b4 zenon_H426. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H19c | zenon_intro zenon_H43f ]. % 83.65/83.84 apply (zenon_L497_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H203 | zenon_intro zenon_H440 ]. % 83.65/83.84 apply (zenon_L133_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H32d | zenon_intro zenon_H36d ]. % 83.65/83.84 apply (zenon_L498_); trivial. % 83.65/83.84 apply (zenon_L499_); trivial. % 83.65/83.84 (* end of lemma zenon_L500_ *) % 83.65/83.84 assert (zenon_L501_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e13) (e13)) = (e12)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H53 zenon_H437 zenon_H19c zenon_H2da. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H53. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H437. % 83.65/83.84 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2db]. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H438]. % 83.65/83.84 congruence. % 83.65/83.84 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ]. % 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e10) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H438. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H26. % 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H436]. % 83.65/83.84 congruence. % 83.65/83.84 apply (zenon_L490_); trivial. % 83.65/83.84 apply zenon_H27. apply refl_equal. % 83.65/83.84 apply zenon_H27. apply refl_equal. % 83.65/83.84 apply zenon_H2db. apply sym_equal. exact zenon_H2da. % 83.65/83.84 (* end of lemma zenon_L501_ *) % 83.65/83.84 assert (zenon_L502_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H426 zenon_H437 zenon_H32d zenon_H2da. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H426. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H437. % 83.65/83.84 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2db]. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43a]. % 83.65/83.84 congruence. % 83.65/83.84 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ]. % 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e12) (e13)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H43a. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H2bd. % 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H439]. % 83.65/83.84 congruence. % 83.65/83.84 apply (zenon_L492_); trivial. % 83.65/83.84 apply zenon_H2be. apply refl_equal. % 83.65/83.84 apply zenon_H2be. apply refl_equal. % 83.65/83.84 apply zenon_H2db. apply sym_equal. exact zenon_H2da. % 83.65/83.84 (* end of lemma zenon_L502_ *) % 83.65/83.84 assert (zenon_L503_ : (~((op1 (e13) (op1 (e13) (e12))) = (e12))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H441 zenon_H437 zenon_H36d. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e13) (op1 (e13) (e12))) = (e12))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H441. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H437. % 83.65/83.84 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H448]. % 83.65/83.84 congruence. % 83.65/83.84 elim (classic ((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (op1 (e13) (e12))))); [ zenon_intro zenon_H443 | zenon_intro zenon_H444 ]. % 83.65/83.84 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (op1 (e13) (e12)))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e13) (op1 (e13) (e12))))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H448. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H443. % 83.65/83.84 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H444]. % 83.65/83.84 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H449]. % 83.65/83.84 congruence. % 83.65/83.84 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H36e]. % 83.65/83.84 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f6]. % 83.65/83.84 congruence. % 83.65/83.84 apply zenon_H3f6. apply sym_equal. exact zenon_H36d. % 83.65/83.84 exact (zenon_H36e zenon_H36d). % 83.65/83.84 apply zenon_H444. apply refl_equal. % 83.65/83.84 apply zenon_H444. apply refl_equal. % 83.65/83.84 apply zenon_H2b. apply refl_equal. % 83.65/83.84 (* end of lemma zenon_L503_ *) % 83.65/83.84 assert (zenon_L504_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (op1 (e13) (e12))) = (e12))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H43e zenon_H53 zenon_H204 zenon_H2c zenon_H14 zenon_H2da zenon_H426 zenon_H441 zenon_H437. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H19c | zenon_intro zenon_H43f ]. % 83.65/83.84 apply (zenon_L501_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H203 | zenon_intro zenon_H440 ]. % 83.65/83.84 apply (zenon_L133_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H32d | zenon_intro zenon_H36d ]. % 83.65/83.84 apply (zenon_L502_); trivial. % 83.65/83.84 apply (zenon_L503_); trivial. % 83.65/83.84 (* end of lemma zenon_L504_ *) % 83.65/83.84 assert (zenon_L505_ : ((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(((op1 (op1 (e13) (e12)) (e13)) = (e12))/\(~((op1 (op1 (e13) (e12)) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H44a zenon_H345 zenon_H49 zenon_H343 zenon_H1e4 zenon_H45 zenon_H50 zenon_H43e zenon_H53 zenon_H204 zenon_H2c zenon_H14 zenon_H426. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H44a). zenon_intro zenon_H441. zenon_intro zenon_H44b. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H44b). zenon_intro zenon_H437. zenon_intro zenon_H44c. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H48 | zenon_intro zenon_H349 ]. % 83.65/83.84 apply (zenon_L14_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H34a ]. % 83.65/83.84 apply (zenon_L496_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2da ]. % 83.65/83.84 apply (zenon_L500_); trivial. % 83.65/83.84 apply (zenon_L504_); trivial. % 83.65/83.84 (* end of lemma zenon_L505_ *) % 83.65/83.84 assert (zenon_L506_ : ((~((op1 (e13) (op1 (e13) (e13))) = (e13)))/\(((op1 (op1 (e13) (e13)) (e13)) = (e13))/\(~((op1 (op1 (e13) (e13)) (e13)) = (e13))))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H44d. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H44d). zenon_intro zenon_H3a1. zenon_intro zenon_H44e. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H44e). zenon_intro zenon_H450. zenon_intro zenon_H44f. % 83.65/83.84 exact (zenon_H44f zenon_H450). % 83.65/83.84 (* end of lemma zenon_L506_ *) % 83.65/83.84 assert (zenon_L507_ : (~((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H451 zenon_Hb8. % 83.65/83.84 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 83.65/83.84 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.84 congruence. % 83.65/83.84 apply zenon_H60. apply refl_equal. % 83.65/83.84 exact (zenon_H14a zenon_Hb8). % 83.65/83.84 (* end of lemma zenon_L507_ *) % 83.65/83.84 assert (zenon_L508_ : (~((op2 (e20) (op2 (e20) (e21))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H452 zenon_H63 zenon_Hb8. % 83.65/83.84 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (op2 (e20) (e21))) = (e20))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H452. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H63. % 83.65/83.84 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.84 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H453]. % 83.65/83.84 congruence. % 83.65/83.84 elim (classic ((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (op2 (e20) (e21))))); [ zenon_intro zenon_H454 | zenon_intro zenon_H455 ]. % 83.65/83.84 cut (((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (op2 (e20) (e21)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e20) (e21))))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H453. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H454. % 83.65/83.84 cut (((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H455]. % 83.65/83.84 cut (((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H451]. % 83.65/83.84 congruence. % 83.65/83.84 apply (zenon_L507_); trivial. % 83.65/83.84 apply zenon_H455. apply refl_equal. % 83.65/83.84 apply zenon_H455. apply refl_equal. % 83.65/83.84 apply zenon_H60. apply refl_equal. % 83.65/83.84 (* end of lemma zenon_L508_ *) % 83.65/83.84 assert (zenon_L509_ : (((op2 (e21) (e20)) = (op2 (e20) (e21)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e21))) = (e23))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H456 zenon_Hc9 zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H456). zenon_intro zenon_H458. zenon_intro zenon_H457. % 83.65/83.84 apply (zenon_and_s _ _ zenon_H457). zenon_intro zenon_H452. zenon_intro zenon_H459. % 83.65/83.84 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.84 apply (zenon_L43_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.84 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.84 apply (zenon_L508_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.84 apply (zenon_L32_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.84 apply (zenon_L34_); trivial. % 83.65/83.84 apply (zenon_L36_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.84 apply (zenon_L46_); trivial. % 83.65/83.84 apply (zenon_L31_); trivial. % 83.65/83.84 (* end of lemma zenon_L509_ *) % 83.65/83.84 assert (zenon_L510_ : (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e22) (e20)) = (op2 (e20) (e22))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.65/83.84 do 0 intro. intros zenon_Hbc zenon_H45a zenon_H45b zenon_H10c. % 83.65/83.84 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_Hbc. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H45a. % 83.65/83.84 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H45c]. % 83.65/83.84 cut (((op2 (e20) (e22)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H45d]. % 83.65/83.84 congruence. % 83.65/83.84 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ]. % 83.65/83.84 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e20) (e22)) = (op2 (e22) (e20)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H45d. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_Hf0. % 83.65/83.84 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 83.65/83.84 cut (((op2 (e22) (e20)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H45e]. % 83.65/83.84 congruence. % 83.65/83.84 exact (zenon_H45e zenon_H45b). % 83.65/83.84 apply zenon_Hf1. apply refl_equal. % 83.65/83.84 apply zenon_Hf1. apply refl_equal. % 83.65/83.84 apply zenon_H45c. apply sym_equal. exact zenon_H10c. % 83.65/83.84 (* end of lemma zenon_L510_ *) % 83.65/83.84 assert (zenon_L511_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (op2 (e20) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H45f zenon_H45b zenon_Hbc zenon_Hc9 zenon_Hb2 zenon_Hba zenon_Hc3 zenon_H5d zenon_H8a zenon_Hab zenon_Had zenon_Ha8 zenon_H15b zenon_H7a zenon_H78 zenon_H7c. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.65/83.84 apply (zenon_L41_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.65/83.84 apply (zenon_L76_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.84 apply (zenon_L41_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.84 apply (zenon_L42_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.84 apply (zenon_L47_); trivial. % 83.65/83.84 apply (zenon_L510_); trivial. % 83.65/83.84 apply (zenon_L28_); trivial. % 83.65/83.84 (* end of lemma zenon_L511_ *) % 83.65/83.84 assert (zenon_L512_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (op2 (e20) (e23))) -> ((op2 (e23) (e22)) = (e20)) -> False). % 83.65/83.84 do 0 intro. intros zenon_H462 zenon_H63 zenon_H463 zenon_H121. % 83.65/83.84 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H462. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_H63. % 83.65/83.84 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 83.65/83.84 cut (((op2 (e20) (e23)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H464]. % 83.65/83.84 congruence. % 83.65/83.84 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ]. % 83.65/83.84 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e20) (e23)) = (op2 (e23) (e20)))). % 83.65/83.84 intro zenon_D_pnotp. % 83.65/83.84 apply zenon_H464. % 83.65/83.84 rewrite <- zenon_D_pnotp. % 83.65/83.84 exact zenon_Hbd. % 83.65/83.84 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 83.65/83.84 cut (((op2 (e23) (e20)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H465]. % 83.65/83.84 congruence. % 83.65/83.84 exact (zenon_H465 zenon_H463). % 83.65/83.84 apply zenon_Hbe. apply refl_equal. % 83.65/83.84 apply zenon_Hbe. apply refl_equal. % 83.65/83.84 apply zenon_H122. apply sym_equal. exact zenon_H121. % 83.65/83.84 (* end of lemma zenon_L512_ *) % 83.65/83.84 assert (zenon_L513_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e23) (e20)) = (op2 (e20) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_Hce zenon_H121 zenon_H463 zenon_H462 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.84 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.84 apply (zenon_L512_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.84 apply (zenon_L32_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.84 apply (zenon_L34_); trivial. % 83.65/83.84 apply (zenon_L36_); trivial. % 83.65/83.84 (* end of lemma zenon_L513_ *) % 83.65/83.84 assert (zenon_L514_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (op2 (e20) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.84 do 0 intro. intros zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H10f zenon_H91 zenon_H73 zenon_H462 zenon_H463 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.65/83.84 apply (zenon_L64_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.65/83.84 apply (zenon_L69_); trivial. % 83.65/83.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.65/83.84 apply (zenon_L513_); trivial. % 83.65/83.84 apply (zenon_L36_); trivial. % 83.65/83.84 (* end of lemma zenon_L514_ *) % 83.65/83.84 assert (zenon_L515_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (op2 (e20) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_He4 zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H91 zenon_H73 zenon_H462 zenon_H463 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.65/83.85 apply (zenon_L63_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.65/83.85 apply (zenon_L54_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.65/83.85 apply (zenon_L58_); trivial. % 83.65/83.85 apply (zenon_L514_); trivial. % 83.65/83.85 (* end of lemma zenon_L515_ *) % 83.65/83.85 assert (zenon_L516_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H102 zenon_Hd6 zenon_H152 zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_Hf8 zenon_Hf7 zenon_Ha8. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.65/83.85 apply (zenon_L83_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.65/83.85 apply (zenon_L55_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.65/83.85 apply (zenon_L56_); trivial. % 83.65/83.85 apply (zenon_L61_); trivial. % 83.65/83.85 (* end of lemma zenon_L516_ *) % 83.65/83.85 assert (zenon_L517_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> ((op2 (e23) (e21)) = (e21)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H13e zenon_H10c zenon_H10e. % 83.65/83.85 cut (((op2 (e23) (e20)) = (e21)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H13e. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H10c. % 83.65/83.85 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H13f]. % 83.65/83.85 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 83.65/83.85 congruence. % 83.65/83.85 apply zenon_Hbe. apply refl_equal. % 83.65/83.85 apply zenon_H13f. apply sym_equal. exact zenon_H10e. % 83.65/83.85 (* end of lemma zenon_L517_ *) % 83.65/83.85 assert (zenon_L518_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H13c zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.65/83.85 apply (zenon_L76_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.85 apply (zenon_L53_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.85 apply (zenon_L54_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.85 apply (zenon_L516_); trivial. % 83.65/83.85 apply (zenon_L77_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.65/83.85 apply (zenon_L55_); trivial. % 83.65/83.85 apply (zenon_L517_); trivial. % 83.65/83.85 (* end of lemma zenon_L518_ *) % 83.65/83.85 assert (zenon_L519_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (op2 (e20) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H140 zenon_Hab zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H463 zenon_H462 zenon_H73 zenon_H91 zenon_H134 zenon_Hb2 zenon_H133 zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.85 apply (zenon_L42_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.85 apply (zenon_L515_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.85 apply (zenon_L71_); trivial. % 83.65/83.85 apply (zenon_L518_); trivial. % 83.65/83.85 (* end of lemma zenon_L519_ *) % 83.65/83.85 assert (zenon_L520_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (op2 (e20) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H14f zenon_Hd1 zenon_H13e zenon_Had zenon_H142 zenon_Hdc zenon_Hf7 zenon_Ha3 zenon_H78 zenon_Hef zenon_Hff zenon_He8 zenon_H102 zenon_Ha8 zenon_H141 zenon_H124 zenon_H133 zenon_Hb2 zenon_H134 zenon_H91 zenon_H73 zenon_H462 zenon_H463 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_Hab zenon_H140 zenon_H14b zenon_Hba zenon_Hc9 zenon_Hbc zenon_H12c zenon_H11f zenon_H129 zenon_H11b zenon_H112 zenon_H118 zenon_H12f zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.85 apply (zenon_L41_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.85 apply (zenon_L42_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.85 apply (zenon_L47_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.85 apply (zenon_L82_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.85 apply (zenon_L49_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.85 apply (zenon_L50_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.85 apply (zenon_L519_); trivial. % 83.65/83.85 apply (zenon_L81_); trivial. % 83.65/83.85 apply (zenon_L88_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.85 apply (zenon_L46_); trivial. % 83.65/83.85 apply (zenon_L31_); trivial. % 83.65/83.85 (* end of lemma zenon_L520_ *) % 83.65/83.85 assert (zenon_L521_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e20) (e21)) = (op2 (e21) (e20))) -> ((op2 (e22) (e21)) = (e20)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H466 zenon_Hab zenon_H467 zenon_He4. % 83.65/83.85 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H466. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Hab. % 83.65/83.85 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H468]. % 83.65/83.85 cut (((op2 (e21) (e20)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H469]. % 83.65/83.85 congruence. % 83.65/83.85 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ]. % 83.65/83.85 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e21) (e20)) = (op2 (e20) (e21)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H469. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H106. % 83.65/83.85 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 83.65/83.85 cut (((op2 (e20) (e21)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H46a]. % 83.65/83.85 congruence. % 83.65/83.85 exact (zenon_H46a zenon_H467). % 83.65/83.85 apply zenon_H107. apply refl_equal. % 83.65/83.85 apply zenon_H107. apply refl_equal. % 83.65/83.85 apply zenon_H468. apply sym_equal. exact zenon_He4. % 83.65/83.85 (* end of lemma zenon_L521_ *) % 83.65/83.85 assert (zenon_L522_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e20) (e21)) = (op2 (e21) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_Hc9 zenon_Hb2 zenon_H14b zenon_H466 zenon_Hab zenon_H467 zenon_Hd1 zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H14f zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.85 apply (zenon_L49_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.85 apply (zenon_L50_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.85 apply (zenon_L521_); trivial. % 83.65/83.85 apply (zenon_L81_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.85 apply (zenon_L46_); trivial. % 83.65/83.85 apply (zenon_L31_); trivial. % 83.65/83.85 (* end of lemma zenon_L522_ *) % 83.65/83.85 assert (zenon_L523_ : (~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H46b zenon_He1. % 83.65/83.85 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H46c]. % 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.85 congruence. % 83.65/83.85 apply zenon_Haf. apply refl_equal. % 83.65/83.85 exact (zenon_H46c zenon_He1). % 83.65/83.85 (* end of lemma zenon_L523_ *) % 83.65/83.85 assert (zenon_L524_ : (~((op2 (e21) (op2 (e21) (e21))) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H46d zenon_He1. % 83.65/83.85 cut (((op2 (e21) (e21)) = (e21)) = ((op2 (e21) (op2 (e21) (e21))) = (e21))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H46d. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_He1. % 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.85 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H46e]. % 83.65/83.85 congruence. % 83.65/83.85 elim (classic ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (op2 (e21) (e21))))); [ zenon_intro zenon_H46f | zenon_intro zenon_H470 ]. % 83.65/83.85 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (op2 (e21) (e21)))) = ((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e21))))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H46e. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H46f. % 83.65/83.85 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H470]. % 83.65/83.85 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H46b]. % 83.65/83.85 congruence. % 83.65/83.85 apply (zenon_L523_); trivial. % 83.65/83.85 apply zenon_H470. apply refl_equal. % 83.65/83.85 apply zenon_H470. apply refl_equal. % 83.65/83.85 apply zenon_Haf. apply refl_equal. % 83.65/83.85 (* end of lemma zenon_L524_ *) % 83.65/83.85 assert (zenon_L525_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (op2 (e21) (e21))) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H140 zenon_Hab zenon_H46d zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.85 apply (zenon_L42_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.85 apply (zenon_L524_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.85 apply (zenon_L71_); trivial. % 83.65/83.85 apply (zenon_L518_); trivial. % 83.65/83.85 (* end of lemma zenon_L525_ *) % 83.65/83.85 assert (zenon_L526_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (op2 (e21) (e21))) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (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) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H14f zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hd1 zenon_H13e zenon_Had zenon_H142 zenon_Hdc zenon_Hf7 zenon_Ha3 zenon_H78 zenon_Hef zenon_Hff zenon_He8 zenon_H102 zenon_Ha8 zenon_H141 zenon_H124 zenon_H46d zenon_Hab zenon_H140 zenon_H14b zenon_Hba zenon_Hc9 zenon_Hb2 zenon_Hbc zenon_H133 zenon_H12c zenon_H11f zenon_H129 zenon_H11b zenon_H112 zenon_H118 zenon_H134 zenon_H12f zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.85 apply (zenon_L41_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.85 apply (zenon_L42_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.85 apply (zenon_L47_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.85 apply (zenon_L82_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.85 apply (zenon_L49_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.85 apply (zenon_L50_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.85 apply (zenon_L525_); trivial. % 83.65/83.85 apply (zenon_L81_); trivial. % 83.65/83.85 apply (zenon_L88_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.85 apply (zenon_L46_); trivial. % 83.65/83.85 apply (zenon_L31_); trivial. % 83.65/83.85 (* end of lemma zenon_L526_ *) % 83.65/83.85 assert (zenon_L527_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H10f zenon_Hd5 zenon_H129 zenon_Hf7 zenon_Hf9 zenon_H124 zenon_H11f zenon_H12c zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.65/83.85 apply (zenon_L64_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.65/83.85 apply (zenon_L69_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.65/83.85 apply (zenon_L73_); trivial. % 83.65/83.85 apply (zenon_L36_); trivial. % 83.65/83.85 (* end of lemma zenon_L527_ *) % 83.65/83.85 assert (zenon_L528_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e21)) = (e22)) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 83.65/83.85 do 0 intro. intros zenon_Hff zenon_Hef zenon_He4 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_H124 zenon_Hf7 zenon_H129 zenon_Hd5 zenon_H10f zenon_Ha3 zenon_H10c zenon_Had zenon_H134 zenon_H12f zenon_H130. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.65/83.85 apply (zenon_L57_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.65/83.85 apply (zenon_L58_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.65/83.85 apply (zenon_L527_); trivial. % 83.65/83.85 apply (zenon_L74_); trivial. % 83.65/83.85 (* end of lemma zenon_L528_ *) % 83.65/83.85 assert (zenon_L529_ : ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e21) (e21)) = (e23)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H5d zenon_H471 zenon_H7a zenon_H472. % 83.65/83.85 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H473 | zenon_intro zenon_H474 ]. % 83.65/83.85 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H472. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H473. % 83.65/83.85 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H474]. % 83.65/83.85 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H475]. % 83.65/83.85 congruence. % 83.65/83.85 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H475. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H5d. % 83.65/83.85 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 83.65/83.85 cut (((e23) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H476]. % 83.65/83.85 congruence. % 83.65/83.85 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H473 | zenon_intro zenon_H474 ]. % 83.65/83.85 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e23) = (op2 (e21) (e21)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H476. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H473. % 83.65/83.85 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H474]. % 83.65/83.85 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H477]. % 83.65/83.85 congruence. % 83.65/83.85 exact (zenon_H477 zenon_H471). % 83.65/83.85 apply zenon_H474. apply refl_equal. % 83.65/83.85 apply zenon_H474. apply refl_equal. % 83.65/83.85 apply (zenon_L30_); trivial. % 83.65/83.85 apply zenon_H474. apply refl_equal. % 83.65/83.85 apply zenon_H474. apply refl_equal. % 83.65/83.85 (* end of lemma zenon_L529_ *) % 83.65/83.85 assert (zenon_L530_ : (~((op2 (e20) (op2 (e21) (e22))) = (op2 (e20) (e23)))) -> ((op2 (e21) (e22)) = (e23)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H478 zenon_H12a. % 83.65/83.85 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H479]. % 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.85 congruence. % 83.65/83.85 apply zenon_H60. apply refl_equal. % 83.65/83.85 exact (zenon_H479 zenon_H12a). % 83.65/83.85 (* end of lemma zenon_L530_ *) % 83.65/83.85 assert (zenon_L531_ : (~((op2 (e20) (op2 (e21) (e22))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e21) (e22)) = (e23)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H47a zenon_H63 zenon_H12a. % 83.65/83.85 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (op2 (e21) (e22))) = (e20))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H47a. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H63. % 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.85 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H47b]. % 83.65/83.85 congruence. % 83.65/83.85 elim (classic ((op2 (e20) (op2 (e21) (e22))) = (op2 (e20) (op2 (e21) (e22))))); [ zenon_intro zenon_H47c | zenon_intro zenon_H47d ]. % 83.65/83.85 cut (((op2 (e20) (op2 (e21) (e22))) = (op2 (e20) (op2 (e21) (e22)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e21) (e22))))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H47b. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H47c. % 83.65/83.85 cut (((op2 (e20) (op2 (e21) (e22))) = (op2 (e20) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H47d]. % 83.65/83.85 cut (((op2 (e20) (op2 (e21) (e22))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H478]. % 83.65/83.85 congruence. % 83.65/83.85 apply (zenon_L530_); trivial. % 83.65/83.85 apply zenon_H47d. apply refl_equal. % 83.65/83.85 apply zenon_H47d. apply refl_equal. % 83.65/83.85 apply zenon_H60. apply refl_equal. % 83.65/83.85 (* end of lemma zenon_L531_ *) % 83.65/83.85 assert (zenon_L532_ : ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (e23)) = (e23)) -> (~((e22) = (e23))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H130 zenon_H47e zenon_H47f. % 83.65/83.85 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ]. % 83.65/83.85 cut (((e23) = (e23)) = ((e22) = (e23))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H47f. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Hd7. % 83.65/83.85 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.65/83.85 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H480]. % 83.65/83.85 congruence. % 83.65/83.85 cut (((op2 (e21) (e23)) = (e22)) = ((e23) = (e22))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H480. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H130. % 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.85 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H481]. % 83.65/83.85 congruence. % 83.65/83.85 exact (zenon_H481 zenon_H47e). % 83.65/83.85 apply zenon_Ha1. apply refl_equal. % 83.65/83.85 apply zenon_Hd8. apply refl_equal. % 83.65/83.85 apply zenon_Hd8. apply refl_equal. % 83.65/83.85 (* end of lemma zenon_L532_ *) % 83.65/83.85 assert (zenon_L533_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (op2 (e21) (e22))) = (e20))) -> ((op2 (e21) (e23)) = (e22)) -> (~((e22) = (e23))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H482 zenon_H12f zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H10f zenon_H129 zenon_Hf7 zenon_H124 zenon_H11f zenon_H12c zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H8a zenon_He4 zenon_Hef zenon_Hff zenon_H472 zenon_H7a zenon_H5d zenon_H63 zenon_H47a zenon_H130 zenon_H47f. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.65/83.85 apply (zenon_L528_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.65/83.85 apply (zenon_L529_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.65/83.85 apply (zenon_L531_); trivial. % 83.65/83.85 apply (zenon_L532_); trivial. % 83.65/83.85 (* end of lemma zenon_L533_ *) % 83.65/83.85 assert (zenon_L534_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e22) = (e23))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e20) (op2 (e21) (e22))) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_Hce zenon_H47f zenon_H130 zenon_H47a zenon_H472 zenon_Hff zenon_Hef zenon_He4 zenon_H12c zenon_H11f zenon_H124 zenon_Hf7 zenon_H129 zenon_Ha3 zenon_H10c zenon_Had zenon_H134 zenon_H12f zenon_H482 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.65/83.85 apply (zenon_L63_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.65/83.85 apply (zenon_L54_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.65/83.85 apply (zenon_L58_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.85 apply (zenon_L533_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.85 apply (zenon_L32_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.85 apply (zenon_L34_); trivial. % 83.65/83.85 apply (zenon_L36_); trivial. % 83.65/83.85 (* end of lemma zenon_L534_ *) % 83.65/83.85 assert (zenon_L535_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (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 (e20) (op2 (e21) (e22))) = (e20))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H140 zenon_Hab zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H482 zenon_H12f zenon_H134 zenon_H129 zenon_H11f zenon_H12c zenon_H472 zenon_H47a zenon_H47f zenon_Hce zenon_Hb2 zenon_H133 zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.85 apply (zenon_L42_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.85 apply (zenon_L53_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.85 apply (zenon_L54_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.85 apply (zenon_L516_); trivial. % 83.65/83.85 apply (zenon_L534_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.85 apply (zenon_L71_); trivial. % 83.65/83.85 apply (zenon_L518_); trivial. % 83.65/83.85 (* end of lemma zenon_L535_ *) % 83.65/83.85 assert (zenon_L536_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e21))) -> False). % 83.65/83.85 do 0 intro. intros zenon_Hd2 zenon_He1 zenon_Had. % 83.65/83.85 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ]. % 83.65/83.85 cut (((e21) = (e21)) = ((e20) = (e21))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_Had. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Hae. % 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.85 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 83.65/83.85 congruence. % 83.65/83.85 cut (((op2 (e21) (e21)) = (e20)) = ((e21) = (e20))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_Hb0. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Hd2. % 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.85 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H46c]. % 83.65/83.85 congruence. % 83.65/83.85 exact (zenon_H46c zenon_He1). % 83.65/83.85 apply zenon_H60. apply refl_equal. % 83.65/83.85 apply zenon_Haf. apply refl_equal. % 83.65/83.85 apply zenon_Haf. apply refl_equal. % 83.65/83.85 (* end of lemma zenon_L536_ *) % 83.65/83.85 assert (zenon_L537_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e22))) -> False). % 83.65/83.85 do 0 intro. intros zenon_Hd2 zenon_He2 zenon_Ha3. % 83.65/83.85 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ]. % 83.65/83.85 cut (((e22) = (e22)) = ((e20) = (e22))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_Ha3. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Ha4. % 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.85 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 83.65/83.85 congruence. % 83.65/83.85 cut (((op2 (e21) (e21)) = (e20)) = ((e22) = (e20))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_Ha5. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Hd2. % 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.85 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 83.65/83.85 congruence. % 83.65/83.85 exact (zenon_He3 zenon_He2). % 83.65/83.85 apply zenon_H60. apply refl_equal. % 83.65/83.85 apply zenon_Ha1. apply refl_equal. % 83.65/83.85 apply zenon_Ha1. apply refl_equal. % 83.65/83.85 (* end of lemma zenon_L537_ *) % 83.65/83.85 assert (zenon_L538_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> ((op2 (e22) (e21)) = (op2 (e21) (e22))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H140 zenon_H8a zenon_H5d zenon_H15c zenon_Hb2 zenon_H21e zenon_H21d zenon_H11b zenon_Hd6 zenon_H112 zenon_H118 zenon_Hc9 zenon_H124 zenon_H141 zenon_H7a zenon_Hc3 zenon_Had zenon_Ha8 zenon_H485 zenon_H486 zenon_Hd2 zenon_Ha3 zenon_H78 zenon_Hdc zenon_H142 zenon_H13e zenon_Hba zenon_Hb8. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.85 apply (zenon_L151_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.85 apply (zenon_L536_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.85 apply (zenon_L71_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.65/83.85 apply (zenon_L76_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.65/83.85 apply (zenon_L536_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.85 apply (zenon_L53_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.85 apply (zenon_L537_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.85 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ]. % 83.65/83.85 cut (((e21) = (e21)) = ((op2 (e21) (op2 (e21) (e22))) = (e21))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H486. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Hae. % 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.85 cut (((e21) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H487]. % 83.65/83.85 congruence. % 83.65/83.85 cut (((op2 (e22) (e21)) = (op2 (e21) (e22))) = ((e21) = (op2 (e21) (op2 (e21) (e22))))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H487. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H485. % 83.65/83.85 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H488]. % 83.65/83.85 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 83.65/83.85 congruence. % 83.65/83.85 exact (zenon_He6 zenon_He5). % 83.65/83.85 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H489]. % 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.85 congruence. % 83.65/83.85 apply zenon_Haf. apply refl_equal. % 83.65/83.85 apply zenon_H489. apply sym_equal. exact zenon_Hf8. % 83.65/83.85 apply zenon_Haf. apply refl_equal. % 83.65/83.85 apply zenon_Haf. apply refl_equal. % 83.65/83.85 apply (zenon_L77_); trivial. % 83.65/83.85 apply (zenon_L78_); trivial. % 83.65/83.85 (* end of lemma zenon_L538_ *) % 83.65/83.85 assert (zenon_L539_ : ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((e20) = (e22))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H120 zenon_Hf8 zenon_Ha3. % 83.65/83.85 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ]. % 83.65/83.85 cut (((e22) = (e22)) = ((e20) = (e22))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_Ha3. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Ha4. % 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.85 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 83.65/83.85 congruence. % 83.65/83.85 cut (((op2 (e21) (e22)) = (e20)) = ((e22) = (e20))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_Ha5. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H120. % 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.85 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H48a]. % 83.65/83.85 congruence. % 83.65/83.85 exact (zenon_H48a zenon_Hf8). % 83.65/83.85 apply zenon_H60. apply refl_equal. % 83.65/83.85 apply zenon_Ha1. apply refl_equal. % 83.65/83.85 apply zenon_Ha1. apply refl_equal. % 83.65/83.85 (* end of lemma zenon_L539_ *) % 83.65/83.85 assert (zenon_L540_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Hd2 zenon_Ha3 zenon_H120 zenon_H13c zenon_Ha8. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.85 apply (zenon_L53_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.85 apply (zenon_L537_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.85 apply (zenon_L539_); trivial. % 83.65/83.85 apply (zenon_L77_); trivial. % 83.65/83.85 (* end of lemma zenon_L540_ *) % 83.65/83.85 assert (zenon_L541_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e21) = (e22))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H7a zenon_H142 zenon_Hdc zenon_H78 zenon_Hd2 zenon_Ha3 zenon_H120 zenon_Ha8. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.85 apply (zenon_L52_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.85 apply (zenon_L536_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.85 apply (zenon_L71_); trivial. % 83.65/83.85 apply (zenon_L540_); trivial. % 83.65/83.85 (* end of lemma zenon_L541_ *) % 83.65/83.85 assert (zenon_L542_ : (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e21)) = (e20)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H48b zenon_H21d zenon_He4. % 83.65/83.85 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H48b. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H21d. % 83.65/83.85 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H468]. % 83.65/83.85 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 83.65/83.85 congruence. % 83.65/83.85 apply zenon_Hf1. apply refl_equal. % 83.65/83.85 apply zenon_H468. apply sym_equal. exact zenon_He4. % 83.65/83.85 (* end of lemma zenon_L542_ *) % 83.65/83.85 assert (zenon_L543_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Ha8 zenon_H120 zenon_Ha3 zenon_H78 zenon_Hdc zenon_H142 zenon_H7a zenon_H124 zenon_Had zenon_Hd5 zenon_Hd6 zenon_H140 zenon_H21d zenon_H48b zenon_H14b zenon_Hb8. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.85 apply (zenon_L49_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.85 apply (zenon_L541_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.85 apply (zenon_L542_); trivial. % 83.65/83.85 apply (zenon_L81_); trivial. % 83.65/83.85 (* end of lemma zenon_L543_ *) % 83.65/83.85 assert (zenon_L544_ : (((op2 (e22) (e21)) = (op2 (e21) (e22)))/\((~((op2 (e20) (op2 (e21) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e22))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H48c zenon_H48d zenon_H482 zenon_H472 zenon_H47f zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H140 zenon_H48b zenon_H14b zenon_H15c zenon_H141 zenon_Hd1 zenon_Hf7 zenon_Hef zenon_Hff zenon_He8 zenon_Hbc zenon_H102 zenon_H133 zenon_H12c zenon_H11f zenon_H129 zenon_H134 zenon_H12f zenon_H48e zenon_H21e zenon_Hd6 zenon_H15b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H485. zenon_intro zenon_H48f. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H47a. zenon_intro zenon_H490. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H486. zenon_intro zenon_H491. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.65/83.85 apply (zenon_L40_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.85 apply (zenon_L41_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.85 apply (zenon_L42_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.85 apply (zenon_L47_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.85 apply (zenon_L82_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.85 apply (zenon_L49_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.85 apply (zenon_L50_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.85 apply (zenon_L535_); trivial. % 83.65/83.85 apply (zenon_L81_); trivial. % 83.65/83.85 apply (zenon_L140_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.85 apply (zenon_L46_); trivial. % 83.65/83.85 apply (zenon_L31_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.85 apply (zenon_L41_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.85 apply (zenon_L151_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.85 apply (zenon_L152_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.65/83.85 apply (zenon_L82_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.65/83.85 apply (zenon_L538_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.65/83.85 apply (zenon_L543_); trivial. % 83.65/83.85 apply (zenon_L32_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.85 apply (zenon_L139_); trivial. % 83.65/83.85 apply (zenon_L88_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.85 apply (zenon_L46_); trivial. % 83.65/83.85 apply (zenon_L31_); trivial. % 83.65/83.85 apply (zenon_L143_); trivial. % 83.65/83.85 (* end of lemma zenon_L544_ *) % 83.65/83.85 assert (zenon_L545_ : (~((op2 (e22) (op2 (e21) (e23))) = (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H496 zenon_H130. % 83.65/83.85 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.85 congruence. % 83.65/83.85 apply zenon_Ha1. apply refl_equal. % 83.65/83.85 exact (zenon_H13d zenon_H130). % 83.65/83.85 (* end of lemma zenon_L545_ *) % 83.65/83.85 assert (zenon_L546_ : (~((op2 (e22) (op2 (e21) (e23))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H497 zenon_Hf9 zenon_H130. % 83.65/83.85 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (op2 (e21) (e23))) = (e22))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H497. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Hf9. % 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.85 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H498]. % 83.65/83.85 congruence. % 83.65/83.85 elim (classic ((op2 (e22) (op2 (e21) (e23))) = (op2 (e22) (op2 (e21) (e23))))); [ zenon_intro zenon_H499 | zenon_intro zenon_H49a ]. % 83.65/83.85 cut (((op2 (e22) (op2 (e21) (e23))) = (op2 (e22) (op2 (e21) (e23)))) = ((op2 (e22) (e22)) = (op2 (e22) (op2 (e21) (e23))))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H498. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H499. % 83.65/83.85 cut (((op2 (e22) (op2 (e21) (e23))) = (op2 (e22) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H49a]. % 83.65/83.85 cut (((op2 (e22) (op2 (e21) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H496]. % 83.65/83.85 congruence. % 83.65/83.85 apply (zenon_L545_); trivial. % 83.65/83.85 apply zenon_H49a. apply refl_equal. % 83.65/83.85 apply zenon_H49a. apply refl_equal. % 83.65/83.85 apply zenon_Ha1. apply refl_equal. % 83.65/83.85 (* end of lemma zenon_L546_ *) % 83.65/83.85 assert (zenon_L547_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (op2 (e21) (e23))) = (e22))) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 83.65/83.85 do 0 intro. intros zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H130 zenon_H497 zenon_Hfc zenon_Ha8. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.65/83.85 apply (zenon_L57_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.65/83.85 apply (zenon_L58_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.65/83.85 apply (zenon_L546_); trivial. % 83.65/83.85 apply (zenon_L60_); trivial. % 83.65/83.85 (* end of lemma zenon_L547_ *) % 83.65/83.85 assert (zenon_L548_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e22) (op2 (e21) (e23))) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H140 zenon_Hab zenon_H497 zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.85 apply (zenon_L42_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.85 apply (zenon_L53_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.85 apply (zenon_L54_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.85 apply (zenon_L516_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.65/83.85 apply (zenon_L83_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.65/83.85 apply (zenon_L55_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.65/83.85 apply (zenon_L56_); trivial. % 83.65/83.85 apply (zenon_L547_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.85 apply (zenon_L71_); trivial. % 83.65/83.85 apply (zenon_L518_); trivial. % 83.65/83.85 (* end of lemma zenon_L548_ *) % 83.65/83.85 assert (zenon_L549_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (op2 (e21) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H140 zenon_H8a zenon_H5d zenon_H15c zenon_Hb2 zenon_H21e zenon_H21d zenon_H11b zenon_Hd6 zenon_H112 zenon_H118 zenon_Hba zenon_Hc9 zenon_H124 zenon_H141 zenon_H78 zenon_H7a zenon_Hc3 zenon_Had zenon_Hd2 zenon_H49b zenon_H49c zenon_H13e zenon_H10c. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.85 apply (zenon_L151_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.85 apply (zenon_L536_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.85 apply (zenon_L71_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.65/83.85 apply (zenon_L76_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.65/83.85 apply (zenon_L536_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.65/83.85 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.85 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H49b. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H49d. % 83.65/83.85 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.85 cut (((op2 (e23) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49f]. % 83.65/83.85 congruence. % 83.65/83.85 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (e23) (e21)) = (op2 (e22) (e21)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H49f. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H13c. % 83.65/83.85 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a0]. % 83.65/83.85 cut (((op2 (e21) (e23)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a1]. % 83.65/83.85 congruence. % 83.65/83.85 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.85 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e21) (e23)) = (op2 (e23) (e21)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4a1. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H49d. % 83.65/83.85 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.85 cut (((op2 (e23) (e21)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4a2]. % 83.65/83.85 congruence. % 83.65/83.85 exact (zenon_H4a2 zenon_H49c). % 83.65/83.85 apply zenon_H49e. apply refl_equal. % 83.65/83.85 apply zenon_H49e. apply refl_equal. % 83.65/83.85 apply zenon_H4a0. apply sym_equal. exact zenon_He5. % 83.65/83.85 apply zenon_H49e. apply refl_equal. % 83.65/83.85 apply zenon_H49e. apply refl_equal. % 83.65/83.85 apply (zenon_L517_); trivial. % 83.65/83.85 (* end of lemma zenon_L549_ *) % 83.65/83.85 assert (zenon_L550_ : (((op2 (e23) (e21)) = (op2 (e21) (e23)))/\((~((op2 (e20) (op2 (e21) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e21) (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) (e22)) = (op2 (e20) (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) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H4a3 zenon_H48d zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H140 zenon_H48b zenon_H14b zenon_H15c zenon_H141 zenon_H49b zenon_Hd1 zenon_Hf7 zenon_Hef zenon_Hff zenon_He8 zenon_Hbc zenon_H102 zenon_H133 zenon_H12c zenon_H11f zenon_H129 zenon_H134 zenon_H12f zenon_H48e zenon_H21e zenon_Hd6 zenon_H15b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49c. zenon_intro zenon_H4a4. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H4a6. zenon_intro zenon_H4a5. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H4a8. zenon_intro zenon_H4a7. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H497. zenon_intro zenon_H4a9. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.65/83.85 apply (zenon_L40_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.85 apply (zenon_L41_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.85 apply (zenon_L42_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.85 apply (zenon_L47_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.85 apply (zenon_L82_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.85 apply (zenon_L49_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.85 apply (zenon_L50_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.85 apply (zenon_L548_); trivial. % 83.65/83.85 apply (zenon_L81_); trivial. % 83.65/83.85 apply (zenon_L140_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.85 apply (zenon_L46_); trivial. % 83.65/83.85 apply (zenon_L31_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.85 apply (zenon_L41_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.85 apply (zenon_L151_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.85 apply (zenon_L152_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.65/83.85 apply (zenon_L82_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.65/83.85 apply (zenon_L549_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.65/83.85 apply (zenon_L543_); trivial. % 83.65/83.85 apply (zenon_L32_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.85 apply (zenon_L139_); trivial. % 83.65/83.85 apply (zenon_L88_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.85 apply (zenon_L46_); trivial. % 83.65/83.85 apply (zenon_L31_); trivial. % 83.65/83.85 apply (zenon_L143_); trivial. % 83.65/83.85 (* end of lemma zenon_L550_ *) % 83.65/83.85 assert (zenon_L551_ : (~((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H4aa zenon_H152. % 83.65/83.85 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.85 congruence. % 83.65/83.85 apply zenon_H60. apply refl_equal. % 83.65/83.85 exact (zenon_H153 zenon_H152). % 83.65/83.85 (* end of lemma zenon_L551_ *) % 83.65/83.85 assert (zenon_L552_ : (~((op2 (e20) (op2 (e22) (e20))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H4ab zenon_H63 zenon_H152. % 83.65/83.85 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (op2 (e22) (e20))) = (e20))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4ab. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H63. % 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.85 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H4ac]. % 83.65/83.85 congruence. % 83.65/83.85 elim (classic ((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (op2 (e22) (e20))))); [ zenon_intro zenon_H4ad | zenon_intro zenon_H4ae ]. % 83.65/83.85 cut (((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (op2 (e22) (e20)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e22) (e20))))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4ac. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H4ad. % 83.65/83.85 cut (((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H4ae]. % 83.65/83.85 cut (((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4aa]. % 83.65/83.85 congruence. % 83.65/83.85 apply (zenon_L551_); trivial. % 83.65/83.85 apply zenon_H4ae. apply refl_equal. % 83.65/83.85 apply zenon_H4ae. apply refl_equal. % 83.65/83.85 apply zenon_H60. apply refl_equal. % 83.65/83.85 (* end of lemma zenon_L552_ *) % 83.65/83.85 assert (zenon_L553_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_Hce zenon_H152 zenon_H4ab zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.85 apply (zenon_L552_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.85 apply (zenon_L32_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.85 apply (zenon_L34_); trivial. % 83.65/83.85 apply (zenon_L36_); trivial. % 83.65/83.85 (* end of lemma zenon_L553_ *) % 83.65/83.85 assert (zenon_L554_ : ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_Hce zenon_H4ab zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H14f zenon_Hab zenon_Hd1 zenon_Had zenon_H142 zenon_Hdc zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_Hc9 zenon_Hb2 zenon_Hbc zenon_H102 zenon_Ha8 zenon_H141 zenon_H124 zenon_H133 zenon_H12c zenon_H11f zenon_H129 zenon_H134 zenon_H12f zenon_H140 zenon_H14b zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.85 apply (zenon_L82_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.85 apply (zenon_L553_); trivial. % 83.65/83.85 apply (zenon_L140_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.85 apply (zenon_L46_); trivial. % 83.65/83.85 apply (zenon_L31_); trivial. % 83.65/83.85 (* end of lemma zenon_L554_ *) % 83.65/83.85 assert (zenon_L555_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e20) (e22)) = (op2 (e22) (e20))) -> ((op2 (e23) (e22)) = (e20)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H112 zenon_H21d zenon_H4af zenon_H121. % 83.65/83.85 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H112. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H21d. % 83.65/83.85 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 83.65/83.85 cut (((op2 (e22) (e20)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H45e]. % 83.65/83.85 congruence. % 83.65/83.85 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ]. % 83.65/83.85 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e22) (e20)) = (op2 (e20) (e22)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H45e. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Hc4. % 83.65/83.85 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 83.65/83.85 cut (((op2 (e20) (e22)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H45d]. % 83.65/83.85 congruence. % 83.65/83.85 exact (zenon_H45d zenon_H4af). % 83.65/83.85 apply zenon_Hc5. apply refl_equal. % 83.65/83.85 apply zenon_Hc5. apply refl_equal. % 83.65/83.85 apply zenon_H122. apply sym_equal. exact zenon_H121. % 83.65/83.85 (* end of lemma zenon_L555_ *) % 83.65/83.85 assert (zenon_L556_ : (((op2 (e20) (e22)) = (op2 (e22) (e20)))/\((~((op2 (e20) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e20))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (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)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H4b0 zenon_H48d zenon_H15c zenon_H140 zenon_H12f zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H124 zenon_H141 zenon_Ha8 zenon_H102 zenon_Hbc zenon_He8 zenon_Hff zenon_Hef zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Hd1 zenon_H14f zenon_H91 zenon_H73 zenon_Hce zenon_Hd6 zenon_H134 zenon_H14b zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H4af. zenon_intro zenon_H4b1. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H4ab. zenon_intro zenon_H4b2. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.65/83.85 apply (zenon_L40_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.65/83.85 apply (zenon_L554_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.65/83.85 apply (zenon_L142_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.65/83.85 apply (zenon_L81_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.65/83.85 apply (zenon_L555_); trivial. % 83.65/83.85 apply (zenon_L36_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.85 apply (zenon_L46_); trivial. % 83.65/83.85 apply (zenon_L31_); trivial. % 83.65/83.85 apply (zenon_L143_); trivial. % 83.65/83.85 (* end of lemma zenon_L556_ *) % 83.65/83.85 assert (zenon_L557_ : (~((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H4b3 zenon_He4. % 83.65/83.85 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4b4]. % 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.85 congruence. % 83.65/83.85 apply zenon_Haf. apply refl_equal. % 83.65/83.85 exact (zenon_H4b4 zenon_He4). % 83.65/83.85 (* end of lemma zenon_L557_ *) % 83.65/83.85 assert (zenon_L558_ : (~((op2 (e21) (op2 (e22) (e21))) = (e21))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e22) (e21)) = (e20)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H4b5 zenon_Hac zenon_He4. % 83.65/83.85 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (op2 (e22) (e21))) = (e21))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4b5. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Hac. % 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.85 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4b6]. % 83.65/83.85 congruence. % 83.65/83.85 elim (classic ((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (op2 (e22) (e21))))); [ zenon_intro zenon_H4b7 | zenon_intro zenon_H4b8 ]. % 83.65/83.85 cut (((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (op2 (e22) (e21)))) = ((op2 (e21) (e20)) = (op2 (e21) (op2 (e22) (e21))))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4b6. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H4b7. % 83.65/83.85 cut (((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4b8]. % 83.65/83.85 cut (((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4b3]. % 83.65/83.85 congruence. % 83.65/83.85 apply (zenon_L557_); trivial. % 83.65/83.85 apply zenon_H4b8. apply refl_equal. % 83.65/83.85 apply zenon_H4b8. apply refl_equal. % 83.65/83.85 apply zenon_Haf. apply refl_equal. % 83.65/83.85 (* end of lemma zenon_L558_ *) % 83.65/83.85 assert (zenon_L559_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (op2 (e22) (e21))) -> ((op2 (e23) (e22)) = (e20)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H11f zenon_He4 zenon_H4b9 zenon_H121. % 83.65/83.85 cut (((op2 (e22) (e21)) = (e20)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H11f. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_He4. % 83.65/83.85 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 83.65/83.85 cut (((op2 (e22) (e21)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4ba]. % 83.65/83.85 congruence. % 83.65/83.85 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ]. % 83.65/83.85 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e22) (e21)) = (op2 (e21) (e22)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4ba. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H125. % 83.65/83.85 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 83.65/83.85 cut (((op2 (e21) (e22)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4bb]. % 83.65/83.85 congruence. % 83.65/83.85 exact (zenon_H4bb zenon_H4b9). % 83.65/83.85 apply zenon_Hfb. apply refl_equal. % 83.65/83.85 apply zenon_Hfb. apply refl_equal. % 83.65/83.85 apply zenon_H122. apply sym_equal. exact zenon_H121. % 83.65/83.85 (* end of lemma zenon_L559_ *) % 83.65/83.85 assert (zenon_L560_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e21) (e22)) = (op2 (e22) (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((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 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H4b9 zenon_He4 zenon_H11f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.65/83.85 apply (zenon_L63_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.65/83.85 apply (zenon_L54_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.65/83.85 apply (zenon_L58_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.65/83.85 apply (zenon_L64_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.65/83.85 apply (zenon_L69_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.65/83.85 apply (zenon_L559_); trivial. % 83.65/83.85 apply (zenon_L36_); trivial. % 83.65/83.85 (* end of lemma zenon_L560_ *) % 83.65/83.85 assert (zenon_L561_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (op2 (e22) (e21))) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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)) = (op2 (e22) (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H140 zenon_H4b5 zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H11f zenon_H4b9 zenon_H134 zenon_Hb2 zenon_H133 zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.85 apply (zenon_L558_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.85 apply (zenon_L560_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.85 apply (zenon_L71_); trivial. % 83.65/83.85 apply (zenon_L518_); trivial. % 83.65/83.85 (* end of lemma zenon_L561_ *) % 83.65/83.85 assert (zenon_L562_ : (~((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e21))))) -> ((op2 (e22) (e21)) = (e21)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H4bc zenon_He5. % 83.65/83.85 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a0]. % 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.85 congruence. % 83.65/83.85 apply zenon_Ha1. apply refl_equal. % 83.65/83.85 apply zenon_H4a0. apply sym_equal. exact zenon_He5. % 83.65/83.85 (* end of lemma zenon_L562_ *) % 83.65/83.85 assert (zenon_L563_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> ((op2 (e21) (e22)) = (op2 (e22) (e21))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H140 zenon_H8a zenon_H5d zenon_H15c zenon_Hb2 zenon_H21e zenon_H21d zenon_H11b zenon_Hd6 zenon_H112 zenon_H118 zenon_Hc9 zenon_H124 zenon_H141 zenon_H7a zenon_Hc3 zenon_Had zenon_Ha8 zenon_H4b9 zenon_H4bd zenon_Hd2 zenon_Ha3 zenon_H78 zenon_Hdc zenon_H142 zenon_H13e zenon_Hba zenon_Hb8. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.85 apply (zenon_L151_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.85 apply (zenon_L536_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.85 apply (zenon_L71_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.65/83.85 apply (zenon_L76_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.65/83.85 apply (zenon_L536_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.85 apply (zenon_L53_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.85 apply (zenon_L537_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.85 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ]. % 83.65/83.85 cut (((e22) = (e22)) = ((op2 (e22) (op2 (e22) (e21))) = (e22))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4bd. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Ha4. % 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.85 cut (((e22) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4be]. % 83.65/83.85 congruence. % 83.65/83.85 cut (((op2 (e21) (e22)) = (op2 (e22) (e21))) = ((e22) = (op2 (e22) (op2 (e22) (e21))))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4be. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H4b9. % 83.65/83.85 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4bc]. % 83.65/83.85 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H48a]. % 83.65/83.85 congruence. % 83.65/83.85 exact (zenon_H48a zenon_Hf8). % 83.65/83.85 apply (zenon_L562_); trivial. % 83.65/83.85 apply zenon_Ha1. apply refl_equal. % 83.65/83.85 apply zenon_Ha1. apply refl_equal. % 83.65/83.85 apply (zenon_L77_); trivial. % 83.65/83.85 apply (zenon_L78_); trivial. % 83.65/83.85 (* end of lemma zenon_L563_ *) % 83.65/83.85 assert (zenon_L564_ : (((op2 (e21) (e22)) = (op2 (e22) (e21)))/\((~((op2 (e20) (op2 (e22) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e21))) = (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) (e22)) = (op2 (e20) (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) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H4bf zenon_H48d zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H140 zenon_H48b zenon_H14b zenon_H15c zenon_H141 zenon_Hd1 zenon_Hf7 zenon_Hef zenon_Hff zenon_He8 zenon_Hbc zenon_H102 zenon_H133 zenon_H12c zenon_H11f zenon_H129 zenon_H134 zenon_H12f zenon_H48e zenon_H21e zenon_Hd6 zenon_H15b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H4b9. zenon_intro zenon_H4c0. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H4c0). zenon_intro zenon_H4c2. zenon_intro zenon_H4c1. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H4b5. zenon_intro zenon_H4c3. % 83.65/83.85 apply (zenon_and_s _ _ zenon_H4c3). zenon_intro zenon_H4bd. zenon_intro zenon_H4c4. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.65/83.85 apply (zenon_L40_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.85 apply (zenon_L41_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.85 apply (zenon_L42_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.85 apply (zenon_L47_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.85 apply (zenon_L82_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.85 apply (zenon_L49_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.85 apply (zenon_L50_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.85 apply (zenon_L561_); trivial. % 83.65/83.85 apply (zenon_L81_); trivial. % 83.65/83.85 apply (zenon_L140_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.85 apply (zenon_L46_); trivial. % 83.65/83.85 apply (zenon_L31_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.85 apply (zenon_L41_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.85 apply (zenon_L151_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.85 apply (zenon_L152_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.85 apply (zenon_L43_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.65/83.85 apply (zenon_L82_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.65/83.85 apply (zenon_L563_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.65/83.85 apply (zenon_L543_); trivial. % 83.65/83.85 apply (zenon_L32_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.85 apply (zenon_L139_); trivial. % 83.65/83.85 apply (zenon_L88_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.85 apply (zenon_L46_); trivial. % 83.65/83.85 apply (zenon_L31_); trivial. % 83.65/83.85 apply (zenon_L143_); trivial. % 83.65/83.85 (* end of lemma zenon_L564_ *) % 83.65/83.85 assert (zenon_L565_ : (~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H4c5 zenon_Hf9. % 83.65/83.85 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4c6]. % 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.85 congruence. % 83.65/83.85 apply zenon_Ha1. apply refl_equal. % 83.65/83.85 exact (zenon_H4c6 zenon_Hf9). % 83.65/83.85 (* end of lemma zenon_L565_ *) % 83.65/83.85 assert (zenon_L566_ : (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H4c7 zenon_Hf9. % 83.65/83.85 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (op2 (e22) (e22))) = (e22))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4c7. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_Hf9. % 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.85 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H4c8]. % 83.65/83.85 congruence. % 83.65/83.85 elim (classic ((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (op2 (e22) (e22))))); [ zenon_intro zenon_H4c9 | zenon_intro zenon_H4ca ]. % 83.65/83.85 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (op2 (e22) (e22)))) = ((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e22))))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4c8. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H4c9. % 83.65/83.85 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H4ca]. % 83.65/83.85 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4c5]. % 83.65/83.85 congruence. % 83.65/83.85 apply (zenon_L565_); trivial. % 83.65/83.85 apply zenon_H4ca. apply refl_equal. % 83.65/83.85 apply zenon_H4ca. apply refl_equal. % 83.65/83.85 apply zenon_Ha1. apply refl_equal. % 83.65/83.85 (* end of lemma zenon_L566_ *) % 83.65/83.85 assert (zenon_L567_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 83.65/83.85 do 0 intro. intros zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H4c7 zenon_Hfc zenon_Ha8. % 83.65/83.85 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.65/83.85 apply (zenon_L57_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.65/83.85 apply (zenon_L58_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.65/83.85 apply (zenon_L566_); trivial. % 83.65/83.85 apply (zenon_L60_); trivial. % 83.65/83.85 (* end of lemma zenon_L567_ *) % 83.65/83.85 assert (zenon_L568_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hab zenon_Hd1 zenon_Ha8 zenon_H4c7 zenon_Ha3 zenon_H78 zenon_Hef zenon_Hff zenon_H7a zenon_He8 zenon_Had zenon_H152 zenon_Hd6 zenon_H102 zenon_H14b zenon_Hb8. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.85 apply (zenon_L49_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.85 apply (zenon_L50_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.65/83.85 apply (zenon_L83_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.65/83.85 apply (zenon_L55_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.65/83.85 apply (zenon_L56_); trivial. % 83.65/83.85 apply (zenon_L567_); trivial. % 83.65/83.85 apply (zenon_L81_); trivial. % 83.65/83.85 (* end of lemma zenon_L568_ *) % 83.65/83.85 assert (zenon_L569_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e22)) = (e20)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H4cb zenon_H21d zenon_H4cc. % 83.65/83.85 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4cb. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H21d. % 83.65/83.85 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4cd]. % 83.65/83.85 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 83.65/83.85 congruence. % 83.65/83.85 apply zenon_Hf1. apply refl_equal. % 83.65/83.85 apply zenon_H4cd. apply sym_equal. exact zenon_H4cc. % 83.65/83.85 (* end of lemma zenon_L569_ *) % 83.65/83.85 assert (zenon_L570_ : (~((op2 (e20) (op2 (e22) (e22))) = (op2 (e20) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> False). % 83.65/83.85 do 0 intro. intros zenon_H4ce zenon_H4cf. % 83.65/83.85 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4d0]. % 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.85 congruence. % 83.65/83.85 apply zenon_H60. apply refl_equal. % 83.65/83.85 exact (zenon_H4d0 zenon_H4cf). % 83.65/83.85 (* end of lemma zenon_L570_ *) % 83.65/83.85 assert (zenon_L571_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (op2 (e22) (e22))) = (e20))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((e21) = (e22))) -> False). % 83.65/83.85 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Hd2 zenon_H63 zenon_H4d1 zenon_Hf7 zenon_H7a zenon_H78 zenon_He8 zenon_H4cb zenon_H21d zenon_H4d2 zenon_Ha8. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.85 apply (zenon_L52_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.85 apply (zenon_L536_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.85 apply (zenon_L71_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.85 apply (zenon_L53_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.85 apply (zenon_L537_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H4d2); [ zenon_intro zenon_H4cc | zenon_intro zenon_H4d3 ]. % 83.65/83.85 apply (zenon_L569_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H4d3); [ zenon_intro zenon_He7 | zenon_intro zenon_H4d4 ]. % 83.65/83.85 apply (zenon_L56_); trivial. % 83.65/83.85 apply (zenon_or_s _ _ zenon_H4d4); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H4cf ]. % 83.65/83.85 apply (zenon_L59_); trivial. % 83.65/83.85 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (op2 (e22) (e22))) = (e20))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4d1. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H63. % 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.85 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H4d5]. % 83.65/83.85 congruence. % 83.65/83.85 elim (classic ((op2 (e20) (op2 (e22) (e22))) = (op2 (e20) (op2 (e22) (e22))))); [ zenon_intro zenon_H4d6 | zenon_intro zenon_H4d7 ]. % 83.65/83.85 cut (((op2 (e20) (op2 (e22) (e22))) = (op2 (e20) (op2 (e22) (e22)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e22) (e22))))). % 83.65/83.85 intro zenon_D_pnotp. % 83.65/83.85 apply zenon_H4d5. % 83.65/83.85 rewrite <- zenon_D_pnotp. % 83.65/83.85 exact zenon_H4d6. % 83.65/83.85 cut (((op2 (e20) (op2 (e22) (e22))) = (op2 (e20) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H4d7]. % 83.65/83.85 cut (((op2 (e20) (op2 (e22) (e22))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4ce]. % 83.65/83.85 congruence. % 83.65/83.85 apply (zenon_L570_); trivial. % 83.65/83.85 apply zenon_H4d7. apply refl_equal. % 83.65/83.85 apply zenon_H4d7. apply refl_equal. % 83.65/83.85 apply zenon_H60. apply refl_equal. % 83.65/83.85 apply (zenon_L77_); trivial. % 83.65/83.85 (* end of lemma zenon_L571_ *) % 83.65/83.85 assert (zenon_L572_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (op2 (e22) (e22))) = (e20))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.85 do 0 intro. intros zenon_Hce zenon_Ha8 zenon_H4d2 zenon_H21d zenon_H4cb zenon_He8 zenon_Hf7 zenon_H4d1 zenon_Hd2 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_Had zenon_Hd5 zenon_Hd6 zenon_H140 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.86 apply (zenon_L571_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.86 apply (zenon_L32_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.86 apply (zenon_L34_); trivial. % 83.65/83.86 apply (zenon_L36_); trivial. % 83.65/83.86 (* end of lemma zenon_L572_ *) % 83.65/83.86 assert (zenon_L573_ : (((op2 (e22) (e22)) = (op2 (e22) (e22)))/\((~((op2 (e20) (op2 (e22) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e22))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (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)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H4d8 zenon_H48d zenon_H12f zenon_H134 zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_Hbc zenon_H102 zenon_Hff zenon_Hef zenon_Hd1 zenon_H15c zenon_H14b zenon_H48b zenon_Hce zenon_Ha8 zenon_H4d2 zenon_H4cb zenon_He8 zenon_Hf7 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H140 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H14f zenon_H21e zenon_Hd6 zenon_H15b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_He9. zenon_intro zenon_H4d9. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H4d1. zenon_intro zenon_H4da. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H4dc. zenon_intro zenon_H4db. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H4db). zenon_intro zenon_H4c7. zenon_intro zenon_H4dd. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.65/83.86 apply (zenon_L40_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.86 apply (zenon_L82_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.86 apply (zenon_L568_); trivial. % 83.65/83.86 apply (zenon_L140_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.86 apply (zenon_L46_); trivial. % 83.65/83.86 apply (zenon_L31_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.86 apply (zenon_L41_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.86 apply (zenon_L151_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.86 apply (zenon_L152_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.86 apply (zenon_L49_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.86 apply (zenon_L572_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.86 apply (zenon_L542_); trivial. % 83.65/83.86 apply (zenon_L81_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.86 apply (zenon_L139_); trivial. % 83.65/83.86 apply (zenon_L88_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.86 apply (zenon_L46_); trivial. % 83.65/83.86 apply (zenon_L31_); trivial. % 83.65/83.86 apply (zenon_L143_); trivial. % 83.65/83.86 (* end of lemma zenon_L573_ *) % 83.65/83.86 assert (zenon_L574_ : ((op2 (e23) (e22)) = (e20)) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H121 zenon_H4de zenon_H63 zenon_H91. % 83.65/83.86 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H91. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H4df. % 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e1]. % 83.65/83.86 congruence. % 83.65/83.86 cut (((op2 (e23) (e22)) = (e20)) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H4e1. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H121. % 83.65/83.86 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e2]. % 83.65/83.86 cut (((op2 (e23) (e22)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e3]. % 83.65/83.86 congruence. % 83.65/83.86 exact (zenon_H4e3 zenon_H4de). % 83.65/83.86 apply zenon_H4e2. apply sym_equal. exact zenon_H63. % 83.65/83.86 apply zenon_H4e0. apply refl_equal. % 83.65/83.86 apply zenon_H4e0. apply refl_equal. % 83.65/83.86 (* end of lemma zenon_L574_ *) % 83.65/83.86 assert (zenon_L575_ : (((op2 (e23) (e22)) = (op2 (e22) (e23)))/\((~((op2 (e20) (op2 (e22) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e23))) = (e23))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H4e4 zenon_Hc9 zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H73 zenon_H91 zenon_H14b zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H4e4). zenon_intro zenon_H4de. zenon_intro zenon_H4e5. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.65/83.86 apply (zenon_L142_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.65/83.86 apply (zenon_L81_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.86 apply (zenon_L574_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.86 apply (zenon_L32_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.86 apply (zenon_L34_); trivial. % 83.65/83.86 apply (zenon_L36_); trivial. % 83.65/83.86 apply (zenon_L36_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.86 apply (zenon_L46_); trivial. % 83.65/83.86 apply (zenon_L31_); trivial. % 83.65/83.86 (* end of lemma zenon_L575_ *) % 83.65/83.86 assert (zenon_L576_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> ((op2 (e23) (e22)) = (e20)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H462 zenon_H63 zenon_H4e6 zenon_H121. % 83.65/83.86 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H462. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H63. % 83.65/83.86 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 83.65/83.86 cut (((op2 (e20) (e23)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H464]. % 83.65/83.86 congruence. % 83.65/83.86 exact (zenon_H464 zenon_H4e6). % 83.65/83.86 apply zenon_H122. apply sym_equal. exact zenon_H121. % 83.65/83.86 (* end of lemma zenon_L576_ *) % 83.65/83.86 assert (zenon_L577_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_Hce zenon_H121 zenon_H4e6 zenon_H462 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.86 apply (zenon_L576_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.86 apply (zenon_L32_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.86 apply (zenon_L34_); trivial. % 83.65/83.86 apply (zenon_L36_); trivial. % 83.65/83.86 (* end of lemma zenon_L577_ *) % 83.65/83.86 assert (zenon_L578_ : (((op2 (e20) (e23)) = (op2 (e23) (e20)))/\((~((op2 (e20) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e20))) = (e23))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H4e7 zenon_Hc9 zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H462 zenon_H73 zenon_H91 zenon_H14b zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4e6. zenon_intro zenon_H4e8. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.65/83.86 apply (zenon_L142_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.65/83.86 apply (zenon_L81_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.65/83.86 apply (zenon_L577_); trivial. % 83.65/83.86 apply (zenon_L36_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.86 apply (zenon_L46_); trivial. % 83.65/83.86 apply (zenon_L31_); trivial. % 83.65/83.86 (* end of lemma zenon_L578_ *) % 83.65/83.86 assert (zenon_L579_ : ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H13c zenon_H4e9 zenon_He5 zenon_H49b. % 83.65/83.86 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H49b. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H49d. % 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49f]. % 83.65/83.86 congruence. % 83.65/83.86 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (e23) (e21)) = (op2 (e22) (e21)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H49f. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H13c. % 83.65/83.86 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a0]. % 83.65/83.86 cut (((op2 (e21) (e23)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a1]. % 83.65/83.86 congruence. % 83.65/83.86 exact (zenon_H4a1 zenon_H4e9). % 83.65/83.86 apply zenon_H4a0. apply sym_equal. exact zenon_He5. % 83.65/83.86 apply zenon_H49e. apply refl_equal. % 83.65/83.86 apply zenon_H49e. apply refl_equal. % 83.65/83.86 (* end of lemma zenon_L579_ *) % 83.65/83.86 assert (zenon_L580_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_H124 zenon_H141 zenon_H78 zenon_H7a zenon_Hc3 zenon_Had zenon_Hd2 zenon_H49b zenon_H4e9 zenon_H13e zenon_H10c. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.86 apply (zenon_L52_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.86 apply (zenon_L536_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.86 apply (zenon_L71_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.65/83.86 apply (zenon_L76_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.65/83.86 apply (zenon_L536_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.65/83.86 apply (zenon_L579_); trivial. % 83.65/83.86 apply (zenon_L517_); trivial. % 83.65/83.86 (* end of lemma zenon_L580_ *) % 83.65/83.86 assert (zenon_L581_ : (~((op2 (e22) (op2 (e23) (e21))) = (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e22)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H4ea zenon_H10f. % 83.65/83.86 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 83.65/83.86 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.86 congruence. % 83.65/83.86 apply zenon_Ha1. apply refl_equal. % 83.65/83.86 exact (zenon_H110 zenon_H10f). % 83.65/83.86 (* end of lemma zenon_L581_ *) % 83.65/83.86 assert (zenon_L582_ : (~((op2 (e22) (op2 (e23) (e21))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H4eb zenon_Hf9 zenon_H10f. % 83.65/83.86 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (op2 (e23) (e21))) = (e22))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H4eb. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_Hf9. % 83.65/83.86 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.86 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4ec]. % 83.65/83.86 congruence. % 83.65/83.86 elim (classic ((op2 (e22) (op2 (e23) (e21))) = (op2 (e22) (op2 (e23) (e21))))); [ zenon_intro zenon_H4ed | zenon_intro zenon_H4ee ]. % 83.65/83.86 cut (((op2 (e22) (op2 (e23) (e21))) = (op2 (e22) (op2 (e23) (e21)))) = ((op2 (e22) (e22)) = (op2 (e22) (op2 (e23) (e21))))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H4ec. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H4ed. % 83.65/83.86 cut (((op2 (e22) (op2 (e23) (e21))) = (op2 (e22) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4ee]. % 83.65/83.86 cut (((op2 (e22) (op2 (e23) (e21))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4ea]. % 83.65/83.86 congruence. % 83.65/83.86 apply (zenon_L581_); trivial. % 83.65/83.86 apply zenon_H4ee. apply refl_equal. % 83.65/83.86 apply zenon_H4ee. apply refl_equal. % 83.65/83.86 apply zenon_Ha1. apply refl_equal. % 83.65/83.86 (* end of lemma zenon_L582_ *) % 83.65/83.86 assert (zenon_L583_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (op2 (e23) (e21))) = (e22))) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 83.65/83.86 do 0 intro. intros zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H10f zenon_H4eb zenon_Hfc zenon_Ha8. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.65/83.86 apply (zenon_L57_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.65/83.86 apply (zenon_L58_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.65/83.86 apply (zenon_L582_); trivial. % 83.65/83.86 apply (zenon_L60_); trivial. % 83.65/83.86 (* end of lemma zenon_L583_ *) % 83.65/83.86 assert (zenon_L584_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H12f zenon_H13c zenon_Hfc. % 83.65/83.86 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H12f. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H13c. % 83.65/83.86 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4ef]. % 83.65/83.86 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 83.65/83.86 congruence. % 83.65/83.86 apply zenon_H132. apply refl_equal. % 83.65/83.86 apply zenon_H4ef. apply sym_equal. exact zenon_Hfc. % 83.65/83.86 (* end of lemma zenon_L584_ *) % 83.65/83.86 assert (zenon_L585_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e23) (e21))) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H140 zenon_Hab zenon_Ha8 zenon_H4eb zenon_He4 zenon_Ha3 zenon_Hef zenon_Hff zenon_Had zenon_Hb2 zenon_H133 zenon_H124 zenon_H102 zenon_Hbc zenon_Hb8 zenon_Hba zenon_H49b zenon_H4e9 zenon_He8 zenon_H78 zenon_H7a zenon_H12f. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.86 apply (zenon_L42_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.65/83.86 apply (zenon_L63_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.65/83.86 apply (zenon_L54_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.65/83.86 apply (zenon_L58_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.65/83.86 apply (zenon_L45_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.65/83.86 apply (zenon_L55_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.65/83.86 apply (zenon_L56_); trivial. % 83.65/83.86 apply (zenon_L583_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.86 apply (zenon_L71_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.65/83.86 apply (zenon_L45_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.65/83.86 apply (zenon_L579_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.65/83.86 apply (zenon_L56_); trivial. % 83.65/83.86 apply (zenon_L584_); trivial. % 83.65/83.86 (* end of lemma zenon_L585_ *) % 83.65/83.86 assert (zenon_L586_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (op2 (e23) (e21))) = (e22))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hd1 zenon_H10c zenon_H13e zenon_Had zenon_H142 zenon_Hdc zenon_Hf7 zenon_Ha3 zenon_H78 zenon_Hef zenon_Hff zenon_H7a zenon_He8 zenon_H152 zenon_Hd6 zenon_H102 zenon_Ha8 zenon_Hc3 zenon_H141 zenon_H124 zenon_H133 zenon_Hb2 zenon_H4eb zenon_Hab zenon_H140 zenon_H14b zenon_Hb8. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.86 apply (zenon_L49_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.86 apply (zenon_L50_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.86 apply (zenon_L42_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.65/83.86 apply (zenon_L63_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.65/83.86 apply (zenon_L54_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.65/83.86 apply (zenon_L58_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.65/83.86 apply (zenon_L83_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.65/83.86 apply (zenon_L55_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.65/83.86 apply (zenon_L56_); trivial. % 83.65/83.86 apply (zenon_L583_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.86 apply (zenon_L71_); trivial. % 83.65/83.86 apply (zenon_L518_); trivial. % 83.65/83.86 apply (zenon_L81_); trivial. % 83.65/83.86 (* end of lemma zenon_L586_ *) % 83.65/83.86 assert (zenon_L587_ : (((op2 (e21) (e23)) = (op2 (e23) (e21)))/\((~((op2 (e20) (op2 (e23) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e21))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H4f0 zenon_H48d zenon_Hbc zenon_H12f zenon_H133 zenon_H102 zenon_He8 zenon_Hff zenon_Hef zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Hd1 zenon_H15c zenon_H14b zenon_H48b zenon_H140 zenon_H124 zenon_H141 zenon_H49b zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H14f zenon_H21e zenon_Hd6 zenon_Ha8 zenon_H15b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H4e9. zenon_intro zenon_H4f1. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H4f3. zenon_intro zenon_H4f2. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H4f5. zenon_intro zenon_H4f4. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H4eb. zenon_intro zenon_H4f6. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.65/83.86 apply (zenon_L40_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.86 apply (zenon_L41_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.86 apply (zenon_L42_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.86 apply (zenon_L47_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.86 apply (zenon_L49_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.86 apply (zenon_L580_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.86 apply (zenon_L585_); trivial. % 83.65/83.86 apply (zenon_L81_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.86 apply (zenon_L586_); trivial. % 83.65/83.86 apply (zenon_L140_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.86 apply (zenon_L46_); trivial. % 83.65/83.86 apply (zenon_L31_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.86 apply (zenon_L41_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.86 apply (zenon_L151_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.86 apply (zenon_L152_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.86 apply (zenon_L49_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.86 apply (zenon_L580_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.86 apply (zenon_L542_); trivial. % 83.65/83.86 apply (zenon_L81_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.86 apply (zenon_L139_); trivial. % 83.65/83.86 apply (zenon_L88_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.86 apply (zenon_L46_); trivial. % 83.65/83.86 apply (zenon_L31_); trivial. % 83.65/83.86 apply (zenon_L143_); trivial. % 83.65/83.86 (* end of lemma zenon_L587_ *) % 83.65/83.86 assert (zenon_L588_ : ((op2 (e23) (e22)) = (e20)) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H121 zenon_H4f7 zenon_H63 zenon_H91. % 83.65/83.86 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H91. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H4df. % 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e1]. % 83.65/83.86 congruence. % 83.65/83.86 cut (((op2 (e23) (e22)) = (e20)) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H4e1. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H121. % 83.65/83.86 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e2]. % 83.65/83.86 cut (((op2 (e23) (e22)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e3]. % 83.65/83.86 congruence. % 83.65/83.86 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e23) (e22)) = (op2 (e22) (e23)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H4e3. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H4df. % 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4f8]. % 83.65/83.86 congruence. % 83.65/83.86 exact (zenon_H4f8 zenon_H4f7). % 83.65/83.86 apply zenon_H4e0. apply refl_equal. % 83.65/83.86 apply zenon_H4e0. apply refl_equal. % 83.65/83.86 apply zenon_H4e2. apply sym_equal. exact zenon_H63. % 83.65/83.86 apply zenon_H4e0. apply refl_equal. % 83.65/83.86 apply zenon_H4e0. apply refl_equal. % 83.65/83.86 (* end of lemma zenon_L588_ *) % 83.65/83.86 assert (zenon_L589_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_Hce zenon_H4f7 zenon_H121 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.86 apply (zenon_L588_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.86 apply (zenon_L32_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.86 apply (zenon_L34_); trivial. % 83.65/83.86 apply (zenon_L36_); trivial. % 83.65/83.86 (* end of lemma zenon_L589_ *) % 83.65/83.86 assert (zenon_L590_ : (((op2 (e22) (e23)) = (op2 (e23) (e22)))/\((~((op2 (e20) (op2 (e23) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e22))) = (e23))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H4f9 zenon_Hc9 zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H73 zenon_H91 zenon_H14b zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H4f7. zenon_intro zenon_H4fa. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.65/83.86 apply (zenon_L142_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.65/83.86 apply (zenon_L81_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.65/83.86 apply (zenon_L589_); trivial. % 83.65/83.86 apply (zenon_L36_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.86 apply (zenon_L46_); trivial. % 83.65/83.86 apply (zenon_L31_); trivial. % 83.65/83.86 (* end of lemma zenon_L590_ *) % 83.65/83.86 assert (zenon_L591_ : (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H48b zenon_Hbb zenon_He5. % 83.65/83.86 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H48b. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_Hbb. % 83.65/83.86 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a0]. % 83.65/83.86 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 83.65/83.86 congruence. % 83.65/83.86 apply zenon_Hf1. apply refl_equal. % 83.65/83.86 apply zenon_H4a0. apply sym_equal. exact zenon_He5. % 83.65/83.86 (* end of lemma zenon_L591_ *) % 83.65/83.86 assert (zenon_L592_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H141 zenon_H78 zenon_H7a zenon_Hc3 zenon_Had zenon_Hd2 zenon_Hbb zenon_H48b zenon_H13e zenon_Hba zenon_Hb8. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.65/83.86 apply (zenon_L76_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.65/83.86 apply (zenon_L536_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.65/83.86 apply (zenon_L591_); trivial. % 83.65/83.86 apply (zenon_L78_); trivial. % 83.65/83.86 (* end of lemma zenon_L592_ *) % 83.65/83.86 assert (zenon_L593_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (e23)) = (e22)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H4fb zenon_H10f zenon_H4fc. % 83.65/83.86 cut (((op2 (e23) (e21)) = (e22)) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H4fb. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H10f. % 83.65/83.86 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fd]. % 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.86 congruence. % 83.65/83.86 apply zenon_H49e. apply refl_equal. % 83.65/83.86 apply zenon_H4fd. apply sym_equal. exact zenon_H4fc. % 83.65/83.86 (* end of lemma zenon_L593_ *) % 83.65/83.86 assert (zenon_L594_ : (~((op2 (e20) (op2 (e23) (e23))) = (op2 (e20) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H4fe zenon_H4ff. % 83.65/83.86 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H500]. % 83.65/83.86 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.86 congruence. % 83.65/83.86 apply zenon_H60. apply refl_equal. % 83.65/83.86 exact (zenon_H500 zenon_H4ff). % 83.65/83.86 (* end of lemma zenon_L594_ *) % 83.65/83.86 assert (zenon_L595_ : (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H501 zenon_H63 zenon_H4ff. % 83.65/83.86 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (op2 (e23) (e23))) = (e20))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H501. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H63. % 83.65/83.86 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.86 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H502]. % 83.65/83.86 congruence. % 83.65/83.86 elim (classic ((op2 (e20) (op2 (e23) (e23))) = (op2 (e20) (op2 (e23) (e23))))); [ zenon_intro zenon_H503 | zenon_intro zenon_H504 ]. % 83.65/83.86 cut (((op2 (e20) (op2 (e23) (e23))) = (op2 (e20) (op2 (e23) (e23)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e23) (e23))))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H502. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H503. % 83.65/83.86 cut (((op2 (e20) (op2 (e23) (e23))) = (op2 (e20) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H504]. % 83.65/83.86 cut (((op2 (e20) (op2 (e23) (e23))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fe]. % 83.65/83.86 congruence. % 83.65/83.86 apply (zenon_L594_); trivial. % 83.65/83.86 apply zenon_H504. apply refl_equal. % 83.65/83.86 apply zenon_H504. apply refl_equal. % 83.65/83.86 apply zenon_H60. apply refl_equal. % 83.65/83.86 (* end of lemma zenon_L595_ *) % 83.65/83.86 assert (zenon_L596_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H505 zenon_H94 zenon_Hb8 zenon_Hba zenon_H118 zenon_H10f zenon_H4fb zenon_H501 zenon_H63. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H505); [ zenon_intro zenon_H95 | zenon_intro zenon_H506 ]. % 83.65/83.86 apply (zenon_L35_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H506); [ zenon_intro zenon_H119 | zenon_intro zenon_H507 ]. % 83.65/83.86 apply (zenon_L67_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H507); [ zenon_intro zenon_H4fc | zenon_intro zenon_H4ff ]. % 83.65/83.86 apply (zenon_L593_); trivial. % 83.65/83.86 apply (zenon_L595_); trivial. % 83.65/83.86 (* end of lemma zenon_L596_ *) % 83.65/83.86 assert (zenon_L597_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H78 zenon_H508 zenon_H509. % 83.65/83.86 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ]. % 83.65/83.86 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H509. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_Hbd. % 83.65/83.86 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 83.65/83.86 cut (((op2 (e23) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H50a]. % 83.65/83.86 congruence. % 83.65/83.86 cut (((e22) = (op2 (e20) (e20))) = ((op2 (e23) (e20)) = (op2 (e20) (e20)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H50a. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H78. % 83.65/83.86 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 83.65/83.86 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H50b]. % 83.65/83.86 congruence. % 83.65/83.86 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ]. % 83.65/83.86 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e22) = (op2 (e23) (e20)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H50b. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_Hbd. % 83.65/83.86 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 83.65/83.86 cut (((op2 (e23) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H50c]. % 83.65/83.86 congruence. % 83.65/83.86 exact (zenon_H50c zenon_H508). % 83.65/83.86 apply zenon_Hbe. apply refl_equal. % 83.65/83.86 apply zenon_Hbe. apply refl_equal. % 83.65/83.86 apply zenon_H84. apply refl_equal. % 83.65/83.86 apply zenon_Hbe. apply refl_equal. % 83.65/83.86 apply zenon_Hbe. apply refl_equal. % 83.65/83.86 (* end of lemma zenon_L597_ *) % 83.65/83.86 assert (zenon_L598_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H11f zenon_Hf8 zenon_H50d. % 83.65/83.86 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H11f. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_Hf8. % 83.65/83.86 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H50e]. % 83.65/83.86 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 83.65/83.86 congruence. % 83.65/83.86 apply zenon_Hfb. apply refl_equal. % 83.65/83.86 apply zenon_H50e. apply sym_equal. exact zenon_H50d. % 83.65/83.86 (* end of lemma zenon_L598_ *) % 83.65/83.86 assert (zenon_L599_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H12c zenon_H121 zenon_H124 zenon_H78 zenon_H7a zenon_H50d zenon_H11f zenon_H129 zenon_Hd5. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H120 | zenon_intro zenon_H12d ]. % 83.65/83.86 apply (zenon_L70_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H123 | zenon_intro zenon_H12e ]. % 83.65/83.86 apply (zenon_L71_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H12a ]. % 83.65/83.86 apply (zenon_L598_); trivial. % 83.65/83.86 apply (zenon_L72_); trivial. % 83.65/83.86 (* end of lemma zenon_L599_ *) % 83.65/83.86 assert (zenon_L600_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H50f zenon_H11e zenon_H121. % 83.65/83.86 cut (((op2 (e23) (e21)) = (e20)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H50f. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H11e. % 83.65/83.86 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.86 congruence. % 83.65/83.86 apply zenon_H49e. apply refl_equal. % 83.65/83.86 apply zenon_H122. apply sym_equal. exact zenon_H121. % 83.65/83.86 (* end of lemma zenon_L600_ *) % 83.65/83.86 assert (zenon_L601_ : ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e21)) = (e23)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H5d zenon_H510 zenon_H7a zenon_H511. % 83.65/83.86 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H511. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H49d. % 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H512]. % 83.65/83.86 congruence. % 83.65/83.86 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((op2 (e23) (e21)) = (op2 (e20) (e21)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H512. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H5d. % 83.65/83.86 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 83.65/83.86 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H513]. % 83.65/83.86 congruence. % 83.65/83.86 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e23) = (op2 (e23) (e21)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H513. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H49d. % 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.86 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H514]. % 83.65/83.86 congruence. % 83.65/83.86 exact (zenon_H514 zenon_H510). % 83.65/83.86 apply zenon_H49e. apply refl_equal. % 83.65/83.86 apply zenon_H49e. apply refl_equal. % 83.65/83.86 apply (zenon_L30_); trivial. % 83.65/83.86 apply zenon_H49e. apply refl_equal. % 83.65/83.86 apply zenon_H49e. apply refl_equal. % 83.65/83.86 (* end of lemma zenon_L601_ *) % 83.65/83.86 assert (zenon_L602_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fc zenon_H4fb zenon_H5d zenon_H7a zenon_H511. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ]. % 83.65/83.86 apply (zenon_L600_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ]. % 83.65/83.86 apply (zenon_L517_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ]. % 83.65/83.86 apply (zenon_L593_); trivial. % 83.65/83.86 apply (zenon_L601_); trivial. % 83.65/83.86 (* end of lemma zenon_L602_ *) % 83.65/83.86 assert (zenon_L603_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H518 zenon_H509 zenon_H63 zenon_H501 zenon_H118 zenon_Hba zenon_Hb8 zenon_H94 zenon_H505 zenon_Hd5 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H12c zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ]. % 83.65/83.86 apply (zenon_L597_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ]. % 83.65/83.86 apply (zenon_L596_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ]. % 83.65/83.86 apply (zenon_L599_); trivial. % 83.65/83.86 apply (zenon_L602_); trivial. % 83.65/83.86 (* end of lemma zenon_L603_ *) % 83.65/83.86 assert (zenon_L604_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e20)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_Hce zenon_H511 zenon_H4fb zenon_H13e zenon_H10c zenon_H50f zenon_H121 zenon_H515 zenon_H12c zenon_H124 zenon_H11f zenon_H129 zenon_Hd5 zenon_H505 zenon_Hb8 zenon_Hba zenon_H118 zenon_H501 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.86 apply (zenon_L603_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.86 apply (zenon_L32_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.86 apply (zenon_L34_); trivial. % 83.65/83.86 apply (zenon_L36_); trivial. % 83.65/83.86 (* end of lemma zenon_L604_ *) % 83.65/83.86 assert (zenon_L605_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H134 zenon_Hc3 zenon_H11b zenon_Had zenon_H112 zenon_Hb2 zenon_Hc9 zenon_H14b zenon_H91 zenon_H73 zenon_H518 zenon_H509 zenon_H501 zenon_H118 zenon_Hba zenon_Hb8 zenon_H505 zenon_Hd5 zenon_H129 zenon_H11f zenon_H124 zenon_H12c zenon_H515 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H511 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.65/83.86 apply (zenon_L143_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.65/83.86 apply (zenon_L81_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.65/83.86 apply (zenon_L604_); trivial. % 83.65/83.86 apply (zenon_L36_); trivial. % 83.65/83.86 (* end of lemma zenon_L605_ *) % 83.65/83.86 assert (zenon_L606_ : ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> (~((e21) = (e23))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H13c zenon_H47e zenon_Hd6. % 83.65/83.86 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ]. % 83.65/83.86 cut (((e23) = (e23)) = ((e21) = (e23))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_Hd6. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_Hd7. % 83.65/83.86 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.65/83.86 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 83.65/83.86 congruence. % 83.65/83.86 cut (((op2 (e21) (e23)) = (e21)) = ((e23) = (e21))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_Hd9. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H13c. % 83.65/83.86 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.86 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H481]. % 83.65/83.86 congruence. % 83.65/83.86 exact (zenon_H481 zenon_H47e). % 83.65/83.86 apply zenon_Haf. apply refl_equal. % 83.65/83.86 apply zenon_Hd8. apply refl_equal. % 83.65/83.86 apply zenon_Hd8. apply refl_equal. % 83.65/83.86 (* end of lemma zenon_L606_ *) % 83.65/83.86 assert (zenon_L607_ : (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H51b zenon_H152 zenon_H51c. % 83.65/83.86 cut (((op2 (e22) (e20)) = (e23)) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H51b. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H152. % 83.65/83.86 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H51d]. % 83.65/83.86 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 83.65/83.86 congruence. % 83.65/83.86 apply zenon_Hf1. apply refl_equal. % 83.65/83.86 apply zenon_H51d. apply sym_equal. exact zenon_H51c. % 83.65/83.86 (* end of lemma zenon_L607_ *) % 83.65/83.86 assert (zenon_L608_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H51e zenon_H8a zenon_H7a zenon_H5d zenon_Hd6 zenon_H13c zenon_H152 zenon_H51b zenon_H501 zenon_H63. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H51e); [ zenon_intro zenon_H89 | zenon_intro zenon_H51f ]. % 83.65/83.86 apply (zenon_L31_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H51f); [ zenon_intro zenon_H47e | zenon_intro zenon_H520 ]. % 83.65/83.86 apply (zenon_L606_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H51c | zenon_intro zenon_H4ff ]. % 83.65/83.86 apply (zenon_L607_); trivial. % 83.65/83.86 apply (zenon_L595_); trivial. % 83.65/83.86 (* end of lemma zenon_L608_ *) % 83.65/83.86 assert (zenon_L609_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_Hce zenon_H501 zenon_H51b zenon_H152 zenon_H13c zenon_Hd6 zenon_H51e zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.86 apply (zenon_L608_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.86 apply (zenon_L32_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.86 apply (zenon_L34_); trivial. % 83.65/83.86 apply (zenon_L36_); trivial. % 83.65/83.86 (* end of lemma zenon_L609_ *) % 83.65/83.86 assert (zenon_L610_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H140 zenon_Hab zenon_Had zenon_Hd2 zenon_H124 zenon_Hce zenon_H501 zenon_H51b zenon_H152 zenon_Hd6 zenon_H51e zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.86 apply (zenon_L42_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.86 apply (zenon_L536_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.86 apply (zenon_L71_); trivial. % 83.65/83.86 apply (zenon_L609_); trivial. % 83.65/83.86 (* end of lemma zenon_L610_ *) % 83.65/83.86 assert (zenon_L611_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e22) = (e23))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H51e zenon_H8a zenon_H7a zenon_H5d zenon_H47f zenon_H130 zenon_H152 zenon_H51b zenon_H501 zenon_H63. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H51e); [ zenon_intro zenon_H89 | zenon_intro zenon_H51f ]. % 83.65/83.86 apply (zenon_L31_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H51f); [ zenon_intro zenon_H47e | zenon_intro zenon_H520 ]. % 83.65/83.86 apply (zenon_L532_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H51c | zenon_intro zenon_H4ff ]. % 83.65/83.86 apply (zenon_L607_); trivial. % 83.65/83.86 apply (zenon_L595_); trivial. % 83.65/83.86 (* end of lemma zenon_L611_ *) % 83.65/83.86 assert (zenon_L612_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_Hce zenon_H501 zenon_H51b zenon_H152 zenon_H130 zenon_H47f zenon_H51e zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.86 apply (zenon_L611_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.86 apply (zenon_L32_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.86 apply (zenon_L34_); trivial. % 83.65/83.86 apply (zenon_L36_); trivial. % 83.65/83.86 (* end of lemma zenon_L612_ *) % 83.65/83.86 assert (zenon_L613_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H140 zenon_Hab zenon_H47f zenon_H102 zenon_Had zenon_He8 zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_Hf7 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_Hce zenon_H501 zenon_H51b zenon_H152 zenon_Hd6 zenon_H51e zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.86 apply (zenon_L42_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.86 apply (zenon_L53_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.86 apply (zenon_L54_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.86 apply (zenon_L516_); trivial. % 83.65/83.86 apply (zenon_L612_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.86 apply (zenon_L71_); trivial. % 83.65/83.86 apply (zenon_L609_); trivial. % 83.65/83.86 (* end of lemma zenon_L613_ *) % 83.65/83.86 assert (zenon_L614_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((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)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e22) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H14f zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H51e zenon_Hd6 zenon_H152 zenon_H51b zenon_H501 zenon_Hce zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_Had zenon_H102 zenon_H47f zenon_Hab zenon_H140 zenon_H14b zenon_Hb8. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.86 apply (zenon_L49_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.86 apply (zenon_L610_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.86 apply (zenon_L613_); trivial. % 83.65/83.86 apply (zenon_L81_); trivial. % 83.65/83.86 (* end of lemma zenon_L614_ *) % 83.65/83.86 assert (zenon_L615_ : (((op2 (e23) (e23)) = (op2 (e23) (e23)))/\((~((op2 (e20) (op2 (e23) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H521 zenon_H48d zenon_H140 zenon_H47f zenon_H102 zenon_He8 zenon_Hff zenon_Hef zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_H51b zenon_H51e zenon_H14f zenon_H141 zenon_H133 zenon_H48b zenon_H15c zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H511 zenon_H4fb zenon_H50f zenon_H515 zenon_H12c zenon_H124 zenon_H11f zenon_H129 zenon_H505 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H14b zenon_H134 zenon_H21e zenon_Hd6 zenon_Ha8 zenon_H15b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H523. zenon_intro zenon_H522. % 83.65/83.86 apply (zenon_and_s _ _ zenon_H522). zenon_intro zenon_H501. zenon_intro zenon_H524. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.65/83.86 apply (zenon_L40_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.86 apply (zenon_L41_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.86 apply (zenon_L42_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.86 apply (zenon_L49_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.86 apply (zenon_L592_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.65/83.86 apply (zenon_L76_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.65/83.86 apply (zenon_L63_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.65/83.86 apply (zenon_L54_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.65/83.86 apply (zenon_L58_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.86 apply (zenon_L596_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.86 apply (zenon_L32_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.86 apply (zenon_L34_); trivial. % 83.65/83.86 apply (zenon_L36_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.65/83.86 apply (zenon_L55_); trivial. % 83.65/83.86 apply (zenon_L78_); trivial. % 83.65/83.86 apply (zenon_L81_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.86 apply (zenon_L46_); trivial. % 83.65/83.86 apply (zenon_L31_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.86 apply (zenon_L605_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.86 apply (zenon_L614_); trivial. % 83.65/83.86 apply (zenon_L140_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.86 apply (zenon_L46_); trivial. % 83.65/83.86 apply (zenon_L31_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.86 apply (zenon_L41_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.86 apply (zenon_L151_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.86 apply (zenon_L152_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.86 apply (zenon_L43_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.86 apply (zenon_L605_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.86 apply (zenon_L139_); trivial. % 83.65/83.86 apply (zenon_L88_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.86 apply (zenon_L46_); trivial. % 83.65/83.86 apply (zenon_L31_); trivial. % 83.65/83.86 apply (zenon_L143_); trivial. % 83.65/83.86 (* end of lemma zenon_L615_ *) % 83.65/83.86 assert (zenon_L616_ : (~((op2 (e21) (e20)) = (op2 (op2 (e20) (e22)) (e20)))) -> ((op2 (e20) (e22)) = (e21)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H525 zenon_H45a. % 83.65/83.86 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.86 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H526]. % 83.65/83.86 congruence. % 83.65/83.86 apply zenon_H526. apply sym_equal. exact zenon_H45a. % 83.65/83.86 apply zenon_H60. apply refl_equal. % 83.65/83.86 (* end of lemma zenon_L616_ *) % 83.65/83.86 assert (zenon_L617_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H129 zenon_H527 zenon_H45a zenon_Hf8. % 83.65/83.86 cut (((op2 (op2 (e20) (e22)) (e20)) = (e22)) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H129. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H527. % 83.65/83.86 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H489]. % 83.65/83.86 cut (((op2 (op2 (e20) (e22)) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H528]. % 83.65/83.86 congruence. % 83.65/83.86 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hd4 ]. % 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (op2 (e20) (e22)) (e20)) = (op2 (e21) (e20)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H528. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_Hdd. % 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (op2 (e20) (e22)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H525]. % 83.65/83.86 congruence. % 83.65/83.86 apply (zenon_L616_); trivial. % 83.65/83.86 apply zenon_Hd4. apply refl_equal. % 83.65/83.86 apply zenon_Hd4. apply refl_equal. % 83.65/83.86 apply zenon_H489. apply sym_equal. exact zenon_Hf8. % 83.65/83.86 (* end of lemma zenon_L617_ *) % 83.65/83.86 assert (zenon_L618_ : (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e23)) = (e22)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H529 zenon_H527 zenon_H45a zenon_H130. % 83.65/83.86 cut (((op2 (op2 (e20) (e22)) (e20)) = (e22)) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H529. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H527. % 83.65/83.86 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52a]. % 83.65/83.86 cut (((op2 (op2 (e20) (e22)) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H528]. % 83.65/83.86 congruence. % 83.65/83.86 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hd4 ]. % 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (op2 (e20) (e22)) (e20)) = (op2 (e21) (e20)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H528. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_Hdd. % 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (op2 (e20) (e22)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H525]. % 83.65/83.86 congruence. % 83.65/83.86 apply (zenon_L616_); trivial. % 83.65/83.86 apply zenon_Hd4. apply refl_equal. % 83.65/83.86 apply zenon_Hd4. apply refl_equal. % 83.65/83.86 apply zenon_H52a. apply sym_equal. exact zenon_H130. % 83.65/83.86 (* end of lemma zenon_L618_ *) % 83.65/83.86 assert (zenon_L619_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Ha8 zenon_He1 zenon_H129 zenon_H529 zenon_H527 zenon_H45a. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.86 apply (zenon_L53_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.86 apply (zenon_L54_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.86 apply (zenon_L617_); trivial. % 83.65/83.86 apply (zenon_L618_); trivial. % 83.65/83.86 (* end of lemma zenon_L619_ *) % 83.65/83.86 assert (zenon_L620_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e21)) = (e22)) -> False). % 83.65/83.86 do 0 intro. intros zenon_Hd1 zenon_H527 zenon_H45a zenon_He2. % 83.65/83.86 cut (((op2 (op2 (e20) (e22)) (e20)) = (e22)) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_Hd1. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H527. % 83.65/83.86 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H52b]. % 83.65/83.86 cut (((op2 (op2 (e20) (e22)) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H528]. % 83.65/83.86 congruence. % 83.65/83.86 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hd4 ]. % 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (op2 (e20) (e22)) (e20)) = (op2 (e21) (e20)))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H528. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_Hdd. % 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (op2 (e20) (e22)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H525]. % 83.65/83.86 congruence. % 83.65/83.86 apply (zenon_L616_); trivial. % 83.65/83.86 apply zenon_Hd4. apply refl_equal. % 83.65/83.86 apply zenon_Hd4. apply refl_equal. % 83.65/83.86 apply zenon_H52b. apply sym_equal. exact zenon_He2. % 83.65/83.86 (* end of lemma zenon_L620_ *) % 83.65/83.86 assert (zenon_L621_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Hd1 zenon_H45a zenon_H527 zenon_H129 zenon_H13c zenon_Ha8. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.86 apply (zenon_L53_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.86 apply (zenon_L620_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.86 apply (zenon_L617_); trivial. % 83.65/83.86 apply (zenon_L77_); trivial. % 83.65/83.86 (* end of lemma zenon_L621_ *) % 83.65/83.86 assert (zenon_L622_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H140 zenon_Had zenon_Hab zenon_H529 zenon_H124 zenon_H7a zenon_H142 zenon_Hdc zenon_H78 zenon_Hd1 zenon_H45a zenon_H527 zenon_H129 zenon_Ha8. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.86 apply (zenon_L42_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.86 apply (zenon_L619_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.86 apply (zenon_L71_); trivial. % 83.65/83.86 apply (zenon_L621_); trivial. % 83.65/83.86 (* end of lemma zenon_L622_ *) % 83.65/83.86 assert (zenon_L623_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H45f zenon_Hc3 zenon_Ha8 zenon_H129 zenon_H527 zenon_Hd1 zenon_Hdc zenon_H142 zenon_H124 zenon_H529 zenon_Hab zenon_Had zenon_H140 zenon_H7a zenon_H78 zenon_H7c. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.65/83.86 apply (zenon_L41_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.65/83.86 apply (zenon_L76_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.65/83.86 apply (zenon_L622_); trivial. % 83.65/83.86 apply (zenon_L28_); trivial. % 83.65/83.86 (* end of lemma zenon_L623_ *) % 83.65/83.86 assert (zenon_L624_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> False). % 83.65/83.86 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Ha3 zenon_Hd2 zenon_H129 zenon_H529 zenon_H527 zenon_H45a. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.86 apply (zenon_L53_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.86 apply (zenon_L537_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.86 apply (zenon_L617_); trivial. % 83.65/83.86 apply (zenon_L618_); trivial. % 83.65/83.86 (* end of lemma zenon_L624_ *) % 83.65/83.86 assert (zenon_L625_ : ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e22)) = (e23)) -> (~((e20) = (e23))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H120 zenon_H12a zenon_H21e. % 83.65/83.86 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ]. % 83.65/83.86 cut (((e23) = (e23)) = ((e20) = (e23))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H21e. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_Hd7. % 83.65/83.86 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.65/83.86 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H21f]. % 83.65/83.86 congruence. % 83.65/83.86 cut (((op2 (e21) (e22)) = (e20)) = ((e23) = (e20))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H21f. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H120. % 83.65/83.86 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.86 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H479]. % 83.65/83.86 congruence. % 83.65/83.86 exact (zenon_H479 zenon_H12a). % 83.65/83.86 apply zenon_H60. apply refl_equal. % 83.65/83.86 apply zenon_Hd8. apply refl_equal. % 83.65/83.86 apply zenon_Hd8. apply refl_equal. % 83.65/83.86 (* end of lemma zenon_L625_ *) % 83.65/83.86 assert (zenon_L626_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e23)) = (e22)) -> (~((e22) = (e23))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H130 zenon_H47f. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.65/83.86 apply (zenon_L52_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.65/83.86 apply (zenon_L529_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.65/83.86 apply (zenon_L625_); trivial. % 83.65/83.86 apply (zenon_L532_); trivial. % 83.65/83.86 (* end of lemma zenon_L626_ *) % 83.65/83.86 assert (zenon_L627_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e22) = (e23))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_H45a zenon_H527 zenon_Hd1 zenon_Ha3 zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H47f. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.86 apply (zenon_L53_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.86 apply (zenon_L620_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.86 apply (zenon_L539_); trivial. % 83.65/83.86 apply (zenon_L626_); trivial. % 83.65/83.86 (* end of lemma zenon_L627_ *) % 83.65/83.86 assert (zenon_L628_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (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 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H48e zenon_Had zenon_H529 zenon_H129 zenon_H47f zenon_H21e zenon_H472 zenon_Hac zenon_Hd6 zenon_H482 zenon_Ha3 zenon_Hd1 zenon_H527 zenon_H45a zenon_Hdc zenon_H142 zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.65/83.86 apply (zenon_L42_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.65/83.86 apply (zenon_L624_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.65/83.86 apply (zenon_L627_); trivial. % 83.65/83.86 apply (zenon_L32_); trivial. % 83.65/83.86 (* end of lemma zenon_L628_ *) % 83.65/83.86 assert (zenon_L629_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_H529 zenon_H124 zenon_H7a zenon_H142 zenon_Hdc zenon_H78 zenon_Hd1 zenon_H45a zenon_H527 zenon_H129 zenon_Ha8. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.86 apply (zenon_L52_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.86 apply (zenon_L619_); trivial. % 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.86 apply (zenon_L71_); trivial. % 83.65/83.86 apply (zenon_L621_); trivial. % 83.65/83.86 (* end of lemma zenon_L629_ *) % 83.65/83.86 assert (zenon_L630_ : ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> (~((e20) = (e23))) -> False). % 83.65/83.86 do 0 intro. intros zenon_H10b zenon_H159 zenon_H21e. % 83.65/83.86 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ]. % 83.65/83.86 cut (((e23) = (e23)) = ((e20) = (e23))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H21e. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_Hd7. % 83.65/83.86 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.65/83.86 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H21f]. % 83.65/83.86 congruence. % 83.65/83.86 cut (((op2 (e23) (e20)) = (e20)) = ((e23) = (e20))). % 83.65/83.86 intro zenon_D_pnotp. % 83.65/83.86 apply zenon_H21f. % 83.65/83.86 rewrite <- zenon_D_pnotp. % 83.65/83.86 exact zenon_H10b. % 83.65/83.86 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.86 cut (((op2 (e23) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H15a]. % 83.65/83.86 congruence. % 83.65/83.86 exact (zenon_H15a zenon_H159). % 83.65/83.86 apply zenon_H60. apply refl_equal. % 83.65/83.86 apply zenon_Hd8. apply refl_equal. % 83.65/83.86 apply zenon_Hd8. apply refl_equal. % 83.65/83.86 (* end of lemma zenon_L630_ *) % 83.65/83.86 assert (zenon_L631_ : ((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(((op2 (op2 (e20) (e22)) (e20)) = (e22))/\(~((op2 (op2 (e20) (e22)) (e22)) = (e20))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((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)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H52c zenon_H48d zenon_H45f zenon_Hc3 zenon_Had zenon_H15c zenon_H5d zenon_Hb2 zenon_Ha8 zenon_H129 zenon_Hd1 zenon_Hdc zenon_H142 zenon_H124 zenon_H529 zenon_H140 zenon_Hd6 zenon_H21e zenon_H48e zenon_H47f zenon_H472 zenon_H482 zenon_Ha3 zenon_H8e zenon_H73 zenon_H82 zenon_H8a zenon_H15b zenon_H7a zenon_H78 zenon_H7c. % 83.65/83.87 apply (zenon_and_s _ _ zenon_H52c). zenon_intro zenon_H52e. zenon_intro zenon_H52d. % 83.65/83.87 apply (zenon_and_s _ _ zenon_H52d). zenon_intro zenon_H527. zenon_intro zenon_H52f. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.65/83.87 apply (zenon_L40_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.65/83.87 apply (zenon_L623_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.65/83.87 apply (zenon_L41_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.65/83.87 apply (zenon_L76_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.87 apply (zenon_L41_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.87 apply (zenon_L628_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.87 apply (zenon_L152_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.87 apply (zenon_L43_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.87 apply (zenon_L629_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.87 apply (zenon_L139_); trivial. % 83.65/83.87 apply (zenon_L88_); trivial. % 83.65/83.87 apply (zenon_L28_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.65/83.87 apply (zenon_L41_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.65/83.87 apply (zenon_L76_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.87 apply (zenon_L41_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.87 apply (zenon_L628_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.87 apply (zenon_L43_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.87 apply (zenon_L629_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.87 apply (zenon_L83_); trivial. % 83.65/83.87 apply (zenon_L630_); trivial. % 83.65/83.87 apply (zenon_L64_); trivial. % 83.65/83.87 apply (zenon_L28_); trivial. % 83.65/83.87 (* end of lemma zenon_L631_ *) % 83.65/83.87 assert (zenon_L632_ : (~((op2 (e20) (e20)) = (op2 (op2 (e20) (e23)) (e20)))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H530 zenon_H63. % 83.65/83.87 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.87 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e2]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_H4e2. apply sym_equal. exact zenon_H63. % 83.65/83.87 apply zenon_H60. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L632_ *) % 83.65/83.87 assert (zenon_L633_ : (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (op2 (e20) (e23)) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False). % 83.65/83.87 do 0 intro. intros zenon_Hdc zenon_H531 zenon_H63 zenon_Hd5. % 83.65/83.87 cut (((op2 (op2 (e20) (e23)) (e20)) = (e23)) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_Hdc. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H531. % 83.65/83.87 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H532]. % 83.65/83.87 cut (((op2 (op2 (e20) (e23)) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H533]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H84 ]. % 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e20) (e23)) (e20)) = (op2 (e20) (e20)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H533. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_Hb5. % 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (op2 (e20) (e23)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H530]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L632_); trivial. % 83.65/83.87 apply zenon_H84. apply refl_equal. % 83.65/83.87 apply zenon_H84. apply refl_equal. % 83.65/83.87 apply zenon_H532. apply sym_equal. exact zenon_Hd5. % 83.65/83.87 (* end of lemma zenon_L633_ *) % 83.65/83.87 assert (zenon_L634_ : (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (op2 (e20) (e23)) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> False). % 83.65/83.87 do 0 intro. intros zenon_Hef zenon_H531 zenon_H63 zenon_H152. % 83.65/83.87 cut (((op2 (op2 (e20) (e23)) (e20)) = (e23)) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_Hef. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H531. % 83.65/83.87 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H534]. % 83.65/83.87 cut (((op2 (op2 (e20) (e23)) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H533]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H84 ]. % 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e20) (e23)) (e20)) = (op2 (e20) (e20)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H533. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_Hb5. % 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (op2 (e20) (e23)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H530]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L632_); trivial. % 83.65/83.87 apply zenon_H84. apply refl_equal. % 83.65/83.87 apply zenon_H84. apply refl_equal. % 83.65/83.87 apply zenon_H534. apply sym_equal. exact zenon_H152. % 83.65/83.87 (* end of lemma zenon_L634_ *) % 83.65/83.87 assert (zenon_L635_ : (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (op2 (e20) (e23)) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H509 zenon_H531 zenon_H63 zenon_H159. % 83.65/83.87 cut (((op2 (op2 (e20) (e23)) (e20)) = (e23)) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H509. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H531. % 83.65/83.87 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H535]. % 83.65/83.87 cut (((op2 (op2 (e20) (e23)) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H533]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H84 ]. % 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e20) (e23)) (e20)) = (op2 (e20) (e20)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H533. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_Hb5. % 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (op2 (e20) (e23)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H530]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L632_); trivial. % 83.65/83.87 apply zenon_H84. apply refl_equal. % 83.65/83.87 apply zenon_H84. apply refl_equal. % 83.65/83.87 apply zenon_H535. apply sym_equal. exact zenon_H159. % 83.65/83.87 (* end of lemma zenon_L635_ *) % 83.65/83.87 assert (zenon_L636_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (op2 (e20) (e23)) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H15c zenon_H7a zenon_H5d zenon_Hb2 zenon_Hdc zenon_Hef zenon_H509 zenon_H531 zenon_H63. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.87 apply (zenon_L43_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.87 apply (zenon_L633_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.87 apply (zenon_L634_); trivial. % 83.65/83.87 apply (zenon_L635_); trivial. % 83.65/83.87 (* end of lemma zenon_L636_ *) % 83.65/83.87 assert (zenon_L637_ : ((~((op2 (e20) (op2 (e20) (e23))) = (e23)))/\(((op2 (op2 (e20) (e23)) (e20)) = (e23))/\(~((op2 (op2 (e20) (e23)) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H536 zenon_Hce zenon_H509 zenon_Hef zenon_Hdc zenon_Hb2 zenon_H15c zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.87 apply (zenon_and_s _ _ zenon_H536). zenon_intro zenon_H538. zenon_intro zenon_H537. % 83.65/83.87 apply (zenon_and_s _ _ zenon_H537). zenon_intro zenon_H531. zenon_intro zenon_H539. % 83.65/83.87 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.87 apply (zenon_L636_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.87 apply (zenon_L32_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.87 apply (zenon_L34_); trivial. % 83.65/83.87 apply (zenon_L36_); trivial. % 83.65/83.87 (* end of lemma zenon_L637_ *) % 83.65/83.87 assert (zenon_L638_ : (~((op2 (e20) (e21)) = (op2 (op2 (e21) (e20)) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H53a zenon_Hab. % 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.87 cut (((e20) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H53b]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_H53b. apply sym_equal. exact zenon_Hab. % 83.65/83.87 apply zenon_Haf. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L638_ *) % 83.65/83.87 assert (zenon_L639_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H472 zenon_H53c zenon_Hab zenon_Hd2. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H472. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H53c. % 83.65/83.87 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53d]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ]. % 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (op2 (e21) (e20)) (e21)) = (op2 (e20) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H53d. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H106. % 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (op2 (e21) (e20)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53a]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L638_); trivial. % 83.65/83.87 apply zenon_H107. apply refl_equal. % 83.65/83.87 apply zenon_H107. apply refl_equal. % 83.65/83.87 apply zenon_Hd3. apply sym_equal. exact zenon_Hd2. % 83.65/83.87 (* end of lemma zenon_L639_ *) % 83.65/83.87 assert (zenon_L640_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e22) (e21)) = (e20)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H466 zenon_H53c zenon_Hab zenon_He4. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H466. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H53c. % 83.65/83.87 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H468]. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53d]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ]. % 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (op2 (e21) (e20)) (e21)) = (op2 (e20) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H53d. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H106. % 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (op2 (e21) (e20)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53a]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L638_); trivial. % 83.65/83.87 apply zenon_H107. apply refl_equal. % 83.65/83.87 apply zenon_H107. apply refl_equal. % 83.65/83.87 apply zenon_H468. apply sym_equal. exact zenon_He4. % 83.65/83.87 (* end of lemma zenon_L640_ *) % 83.65/83.87 assert (zenon_L641_ : (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H511 zenon_H53c zenon_Hab zenon_H11e. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H511. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H53c. % 83.65/83.87 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53e]. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53d]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ]. % 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (op2 (e21) (e20)) (e21)) = (op2 (e20) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H53d. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H106. % 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (op2 (e21) (e20)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53a]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L638_); trivial. % 83.65/83.87 apply zenon_H107. apply refl_equal. % 83.65/83.87 apply zenon_H107. apply refl_equal. % 83.65/83.87 apply zenon_H53e. apply sym_equal. exact zenon_H11e. % 83.65/83.87 (* end of lemma zenon_L641_ *) % 83.65/83.87 assert (zenon_L642_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H14f zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H472 zenon_H466 zenon_H511 zenon_H53c zenon_Hab. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.87 apply (zenon_L49_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.87 apply (zenon_L639_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.87 apply (zenon_L640_); trivial. % 83.65/83.87 apply (zenon_L641_); trivial. % 83.65/83.87 (* end of lemma zenon_L642_ *) % 83.65/83.87 assert (zenon_L643_ : (~((op2 (e21) (op2 (e21) (e20))) = (e20))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H53f zenon_H53c zenon_Hac. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (e20)) = ((op2 (e21) (op2 (e21) (e20))) = (e20))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H53f. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H53c. % 83.65/83.87 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H540]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (op2 (e21) (e20))))); [ zenon_intro zenon_H541 | zenon_intro zenon_H542 ]. % 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (op2 (e21) (e20)))) = ((op2 (op2 (e21) (e20)) (e21)) = (op2 (e21) (op2 (e21) (e20))))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H540. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H541. % 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H542]. % 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (op2 (e21) (e20)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H543]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 83.65/83.87 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H544]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_H544. apply sym_equal. exact zenon_Hac. % 83.65/83.87 exact (zenon_Hb1 zenon_Hac). % 83.65/83.87 apply zenon_H542. apply refl_equal. % 83.65/83.87 apply zenon_H542. apply refl_equal. % 83.65/83.87 apply zenon_H60. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L643_ *) % 83.65/83.87 assert (zenon_L644_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> (~((op2 (e21) (op2 (e21) (e20))) = (e20))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (op2 (e21) (e20)) (e20)) = (e21))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e21) = (e23))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H78 zenon_H53c zenon_H53f zenon_Had zenon_H15c zenon_H7a zenon_H5d zenon_Hb2 zenon_H545 zenon_H21e zenon_H21d zenon_Hd6. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.87 apply (zenon_L41_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.87 apply (zenon_L643_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.87 apply (zenon_L152_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.87 apply (zenon_L43_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.87 cut (((op2 (e23) (e20)) = (e21)) = ((op2 (op2 (e21) (e20)) (e20)) = (e21))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H545. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H10c. % 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.87 cut (((op2 (e23) (e20)) = (op2 (op2 (e21) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H546]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (op2 (e21) (e20)) (e20)) = (op2 (op2 (e21) (e20)) (e20)))); [ zenon_intro zenon_H547 | zenon_intro zenon_H548 ]. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e20)) = (op2 (op2 (e21) (e20)) (e20))) = ((op2 (e23) (e20)) = (op2 (op2 (e21) (e20)) (e20)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H546. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H547. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e20)) = (op2 (op2 (e21) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H548]. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H549]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.65/83.87 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hda]. % 83.65/83.87 congruence. % 83.65/83.87 exact (zenon_Hda zenon_Hd5). % 83.65/83.87 apply zenon_H60. apply refl_equal. % 83.65/83.87 apply zenon_H548. apply refl_equal. % 83.65/83.87 apply zenon_H548. apply refl_equal. % 83.65/83.87 apply zenon_Haf. apply refl_equal. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.87 apply (zenon_L139_); trivial. % 83.65/83.87 apply (zenon_L88_); trivial. % 83.65/83.87 (* end of lemma zenon_L644_ *) % 83.65/83.87 assert (zenon_L645_ : (~((op2 (e23) (e21)) = (op2 (op2 (e21) (e20)) (e21)))) -> ((op2 (e21) (e20)) = (e23)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H54a zenon_Hd5. % 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.87 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H532]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_H532. apply sym_equal. exact zenon_Hd5. % 83.65/83.87 apply zenon_Haf. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L645_ *) % 83.65/83.87 assert (zenon_L646_ : ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H53c zenon_Hd5 zenon_Hd2 zenon_H54b. % 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H54b. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H49d. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54c]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (e20)) = ((op2 (e23) (e21)) = (op2 (e21) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H54c. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H53c. % 83.65/83.87 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54d]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e20)) (e21)) = (op2 (e23) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H54d. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H49d. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e20)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54a]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L645_); trivial. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_Hd3. apply sym_equal. exact zenon_Hd2. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L646_ *) % 83.65/83.87 assert (zenon_L647_ : ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H53c zenon_Hd5 zenon_He4 zenon_H49b. % 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H49b. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H49d. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49f]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (e20)) = ((op2 (e23) (e21)) = (op2 (e22) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H49f. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H53c. % 83.65/83.87 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H468]. % 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54d]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e20)) (e21)) = (op2 (e23) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H54d. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H49d. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e20)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54a]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L645_); trivial. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_H468. apply sym_equal. exact zenon_He4. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L647_ *) % 83.65/83.87 assert (zenon_L648_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H13e zenon_H10b zenon_H11e. % 83.65/83.87 cut (((op2 (e23) (e20)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H13e. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H10b. % 83.65/83.87 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53e]. % 83.65/83.87 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_Hbe. apply refl_equal. % 83.65/83.87 apply zenon_H53e. apply sym_equal. exact zenon_H11e. % 83.65/83.87 (* end of lemma zenon_L648_ *) % 83.65/83.87 assert (zenon_L649_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (op2 (e21) (e20))) = (e20))) -> (~((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)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H53f zenon_H21e zenon_Hd6 zenon_H14f zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H54b zenon_H49b zenon_H53c zenon_H13e zenon_Hb2 zenon_H15c zenon_H10b zenon_Had. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.87 apply (zenon_L41_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.87 apply (zenon_L643_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.87 apply (zenon_L43_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.87 apply (zenon_L49_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.87 apply (zenon_L646_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.87 apply (zenon_L647_); trivial. % 83.65/83.87 apply (zenon_L648_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.87 apply (zenon_L83_); trivial. % 83.65/83.87 apply (zenon_L630_); trivial. % 83.65/83.87 apply (zenon_L64_); trivial. % 83.65/83.87 (* end of lemma zenon_L649_ *) % 83.65/83.87 assert (zenon_L650_ : ((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\(((op2 (op2 (e21) (e20)) (e21)) = (e20))/\(~((op2 (op2 (e21) (e20)) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (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)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e21))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H54e zenon_H48d zenon_Ha3 zenon_H511 zenon_H466 zenon_H472 zenon_H15b zenon_Ha8 zenon_H21e zenon_Hd6 zenon_H14f zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H54b zenon_H49b zenon_H13e zenon_Hb2 zenon_H15c zenon_Had. % 83.65/83.87 apply (zenon_and_s _ _ zenon_H54e). zenon_intro zenon_H53f. zenon_intro zenon_H54f. % 83.65/83.87 apply (zenon_and_s _ _ zenon_H54f). zenon_intro zenon_H53c. zenon_intro zenon_H545. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.65/83.87 apply (zenon_L40_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.65/83.87 apply (zenon_L642_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.65/83.87 apply (zenon_L644_); trivial. % 83.65/83.87 apply (zenon_L649_); trivial. % 83.65/83.87 (* end of lemma zenon_L650_ *) % 83.65/83.87 assert (zenon_L651_ : ((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\(((op2 (op2 (e21) (e21)) (e21)) = (e21))/\(~((op2 (op2 (e21) (e21)) (e21)) = (e21))))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H550. % 83.65/83.87 apply (zenon_and_s _ _ zenon_H550). zenon_intro zenon_H46d. zenon_intro zenon_H551. % 83.65/83.87 apply (zenon_and_s _ _ zenon_H551). zenon_intro zenon_H553. zenon_intro zenon_H552. % 83.65/83.87 exact (zenon_H552 zenon_H553). % 83.65/83.87 (* end of lemma zenon_L651_ *) % 83.65/83.87 assert (zenon_L652_ : ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> False). % 83.65/83.87 do 0 intro. intros zenon_Hbb zenon_Hac zenon_H554. % 83.65/83.87 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ]. % 83.65/83.87 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H554. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_Hf0. % 83.65/83.87 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 83.65/83.87 cut (((op2 (e22) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H555]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (e22) (e20)) = (op2 (e21) (e20)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H555. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_Hbb. % 83.65/83.87 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H544]. % 83.65/83.87 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_Hf1. apply refl_equal. % 83.65/83.87 apply zenon_H544. apply sym_equal. exact zenon_Hac. % 83.65/83.87 apply zenon_Hf1. apply refl_equal. % 83.65/83.87 apply zenon_Hf1. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L652_ *) % 83.65/83.87 assert (zenon_L653_ : (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> ((op2 (e21) (e22)) = (e22)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H556 zenon_Hf8. % 83.65/83.87 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (op2 (e21) (e22))) = (e22))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H556. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_Hf8. % 83.65/83.87 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.87 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H488]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [ zenon_intro zenon_H557 | zenon_intro zenon_H558 ]. % 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22)))) = ((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e22))))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H488. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H557. % 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H558]. % 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H559]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H48a]. % 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_Haf. apply refl_equal. % 83.65/83.87 exact (zenon_H48a zenon_Hf8). % 83.65/83.87 apply zenon_H558. apply refl_equal. % 83.65/83.87 apply zenon_H558. apply refl_equal. % 83.65/83.87 apply zenon_Ha1. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L653_ *) % 83.65/83.87 assert (zenon_L654_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H78 zenon_H55a zenon_H55b. % 83.65/83.87 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ]. % 83.65/83.87 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H55b. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_Hc4. % 83.65/83.87 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 83.65/83.87 cut (((op2 (e20) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H55c]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((e22) = (op2 (e20) (e20))) = ((op2 (e20) (e22)) = (op2 (e20) (e20)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H55c. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H78. % 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 83.65/83.87 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H55d]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ]. % 83.65/83.87 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e22) = (op2 (e20) (e22)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H55d. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_Hc4. % 83.65/83.87 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 83.65/83.87 cut (((op2 (e20) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H55e]. % 83.65/83.87 congruence. % 83.65/83.87 exact (zenon_H55e zenon_H55a). % 83.65/83.87 apply zenon_Hc5. apply refl_equal. % 83.65/83.87 apply zenon_Hc5. apply refl_equal. % 83.65/83.87 apply zenon_H84. apply refl_equal. % 83.65/83.87 apply zenon_Hc5. apply refl_equal. % 83.65/83.87 apply zenon_Hc5. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L654_ *) % 83.65/83.87 assert (zenon_L655_ : (~((op2 (e20) (op2 (e20) (e20))) = (op2 (op2 (e21) (e22)) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e22)) = (e20)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H55f zenon_H78 zenon_H120. % 83.65/83.87 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 83.65/83.87 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H560]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_H560. apply sym_equal. exact zenon_H120. % 83.65/83.87 apply zenon_H79. apply sym_equal. exact zenon_H78. % 83.65/83.87 (* end of lemma zenon_L655_ *) % 83.65/83.87 assert (zenon_L656_ : ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e22)) = (e20)) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H7a zenon_H78 zenon_H120 zenon_H561. % 83.65/83.87 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ]. % 83.65/83.87 cut (((e21) = (e21)) = ((op2 (op2 (e21) (e22)) (e22)) = (e21))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H561. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_Hae. % 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.87 cut (((e21) = (op2 (op2 (e21) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H562]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((e21) = (op2 (e20) (op2 (e20) (e20)))) = ((e21) = (op2 (op2 (e21) (e22)) (e22)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H562. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H7a. % 83.65/83.87 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (op2 (e21) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H55f]. % 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_Haf. apply refl_equal. % 83.65/83.87 apply (zenon_L655_); trivial. % 83.65/83.87 apply zenon_Haf. apply refl_equal. % 83.65/83.87 apply zenon_Haf. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L656_ *) % 83.65/83.87 assert (zenon_L657_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H12c zenon_H561 zenon_H124 zenon_H78 zenon_H7a zenon_H50d zenon_H11f zenon_H129 zenon_Hd5. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H120 | zenon_intro zenon_H12d ]. % 83.65/83.87 apply (zenon_L656_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H123 | zenon_intro zenon_H12e ]. % 83.65/83.87 apply (zenon_L71_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H12a ]. % 83.65/83.87 apply (zenon_L598_); trivial. % 83.65/83.87 apply (zenon_L72_); trivial. % 83.65/83.87 (* end of lemma zenon_L657_ *) % 83.65/83.87 assert (zenon_L658_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H563 zenon_H55b zenon_H556 zenon_Hf7 zenon_H12c zenon_H561 zenon_H124 zenon_H78 zenon_H7a zenon_H11f zenon_H129 zenon_Hd5. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H55a | zenon_intro zenon_H564 ]. % 83.65/83.87 apply (zenon_L654_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H565 ]. % 83.65/83.87 apply (zenon_L653_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H565); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H50d ]. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H120 | zenon_intro zenon_H12d ]. % 83.65/83.87 apply (zenon_L656_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H123 | zenon_intro zenon_H12e ]. % 83.65/83.87 apply (zenon_L71_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H12a ]. % 83.65/83.87 apply (zenon_L59_); trivial. % 83.65/83.87 apply (zenon_L72_); trivial. % 83.65/83.87 apply (zenon_L657_); trivial. % 83.65/83.87 (* end of lemma zenon_L658_ *) % 83.65/83.87 assert (zenon_L659_ : (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H556 zenon_H130 zenon_H12a. % 83.65/83.87 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (e21) (op2 (e21) (e22))) = (e22))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H556. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H130. % 83.65/83.87 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.65/83.87 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H566]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [ zenon_intro zenon_H557 | zenon_intro zenon_H558 ]. % 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22)))) = ((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e22))))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H566. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H557. % 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H558]. % 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H567]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H479]. % 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_Haf. apply refl_equal. % 83.65/83.87 exact (zenon_H479 zenon_H12a). % 83.65/83.87 apply zenon_H558. apply refl_equal. % 83.65/83.87 apply zenon_H558. apply refl_equal. % 83.65/83.87 apply zenon_Ha1. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L659_ *) % 83.65/83.87 assert (zenon_L660_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (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 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> ((op2 (e21) (e23)) = (e22)) -> (~((e22) = (e23))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H482 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H55b zenon_H563 zenon_H472 zenon_H7a zenon_H5d zenon_H556 zenon_H130 zenon_H47f. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.65/83.87 apply (zenon_L658_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.65/83.87 apply (zenon_L529_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.65/83.87 apply (zenon_L659_); trivial. % 83.65/83.87 apply (zenon_L532_); trivial. % 83.65/83.87 (* end of lemma zenon_L660_ *) % 83.65/83.87 assert (zenon_L661_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (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 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((e22) = (e23))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H142 zenon_Hdc zenon_Ha8 zenon_He1 zenon_H482 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H55b zenon_H563 zenon_H472 zenon_H7a zenon_H5d zenon_H556 zenon_H47f. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.87 apply (zenon_L53_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.87 apply (zenon_L54_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.87 apply (zenon_L653_); trivial. % 83.65/83.87 apply (zenon_L660_); trivial. % 83.65/83.87 (* end of lemma zenon_L661_ *) % 83.65/83.87 assert (zenon_L662_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_He1 zenon_H556 zenon_H13c zenon_Ha8. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.87 apply (zenon_L53_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.87 apply (zenon_L54_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.87 apply (zenon_L653_); trivial. % 83.65/83.87 apply (zenon_L77_); trivial. % 83.65/83.87 (* end of lemma zenon_L662_ *) % 83.65/83.87 assert (zenon_L663_ : (~((op2 (e23) (e21)) = (op2 (op2 (e21) (e22)) (e21)))) -> ((op2 (e21) (e22)) = (e23)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H568 zenon_H12a. % 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.87 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_H12b. apply sym_equal. exact zenon_H12a. % 83.65/83.87 apply zenon_Haf. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L663_ *) % 83.65/83.87 assert (zenon_L664_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e21) (e22)) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H50f zenon_H569 zenon_H12a zenon_H50d. % 83.65/83.87 cut (((op2 (op2 (e21) (e22)) (e21)) = (e22)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H50f. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H569. % 83.65/83.87 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H50e]. % 83.65/83.87 cut (((op2 (op2 (e21) (e22)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H56a]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e22)) (e21)) = (op2 (e23) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H56a. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H49d. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e22)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H568]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L663_); trivial. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_H50e. apply sym_equal. exact zenon_H50d. % 83.65/83.87 (* end of lemma zenon_L664_ *) % 83.65/83.87 assert (zenon_L665_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e22)) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H4fb zenon_H569 zenon_H12a zenon_H4fc. % 83.65/83.87 cut (((op2 (op2 (e21) (e22)) (e21)) = (e22)) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H4fb. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H569. % 83.65/83.87 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fd]. % 83.65/83.87 cut (((op2 (op2 (e21) (e22)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H56a]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e22)) (e21)) = (op2 (e23) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H56a. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H49d. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e22)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H568]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L663_); trivial. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_H4fd. apply sym_equal. exact zenon_H4fc. % 83.65/83.87 (* end of lemma zenon_L665_ *) % 83.65/83.87 assert (zenon_L666_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (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) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (op2 (e21) (e22)) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H482 zenon_H129 zenon_H11f zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H556 zenon_H55b zenon_H563 zenon_H472 zenon_H7a zenon_H5d zenon_H569 zenon_H4fb zenon_H50f zenon_H10e zenon_Ha8 zenon_H78 zenon_H509 zenon_H518 zenon_H13c zenon_Hd6. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.65/83.87 apply (zenon_L658_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.65/83.87 apply (zenon_L529_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ]. % 83.65/83.87 apply (zenon_L597_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ]. % 83.65/83.87 apply (zenon_L65_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ]. % 83.65/83.87 apply (zenon_L664_); trivial. % 83.65/83.87 apply (zenon_L665_); trivial. % 83.65/83.87 apply (zenon_L606_); trivial. % 83.65/83.87 (* end of lemma zenon_L666_ *) % 83.65/83.87 assert (zenon_L667_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((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)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (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) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (op2 (e21) (e22)) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e23))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H140 zenon_H554 zenon_H47f zenon_H141 zenon_Hc3 zenon_Hdc zenon_H142 zenon_Hbb zenon_H48b zenon_H482 zenon_H129 zenon_H11f zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H556 zenon_H55b zenon_H563 zenon_H472 zenon_H7a zenon_H5d zenon_H569 zenon_H4fb zenon_H50f zenon_Ha8 zenon_H78 zenon_H509 zenon_H518 zenon_Hd6. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.87 apply (zenon_L652_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.87 apply (zenon_L661_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.87 apply (zenon_L71_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.65/83.87 apply (zenon_L76_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.65/83.87 apply (zenon_L662_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.65/83.87 apply (zenon_L591_); trivial. % 83.65/83.87 apply (zenon_L666_); trivial. % 83.65/83.87 (* end of lemma zenon_L667_ *) % 83.65/83.87 assert (zenon_L668_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((e21) = (e22))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H7a zenon_H142 zenon_Hdc zenon_H78 zenon_Ha3 zenon_Hd2 zenon_H556 zenon_Ha8. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.87 apply (zenon_L52_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.87 apply (zenon_L536_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.87 apply (zenon_L71_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.87 apply (zenon_L53_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.87 apply (zenon_L537_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.87 apply (zenon_L653_); trivial. % 83.65/83.87 apply (zenon_L77_); trivial. % 83.65/83.87 (* end of lemma zenon_L668_ *) % 83.65/83.87 assert (zenon_L669_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((e22) = (e23))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H482 zenon_Ha8 zenon_Hd2 zenon_Ha3 zenon_H78 zenon_Hdc zenon_H142 zenon_H124 zenon_Had zenon_Hd6 zenon_H140 zenon_H472 zenon_H7a zenon_H5d zenon_H556 zenon_H47f. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.87 apply (zenon_L53_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.87 apply (zenon_L537_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.87 apply (zenon_L653_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.65/83.87 apply (zenon_L668_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.65/83.87 apply (zenon_L529_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.65/83.87 apply (zenon_L659_); trivial. % 83.65/83.87 apply (zenon_L532_); trivial. % 83.65/83.87 (* end of lemma zenon_L669_ *) % 83.65/83.87 assert (zenon_L670_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H140 zenon_Hab zenon_H47f zenon_H556 zenon_H5d zenon_H472 zenon_H563 zenon_H55b zenon_H12c zenon_H561 zenon_H11f zenon_H129 zenon_H482 zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.87 apply (zenon_L42_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.87 apply (zenon_L661_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.87 apply (zenon_L71_); trivial. % 83.65/83.87 apply (zenon_L518_); trivial. % 83.65/83.87 (* end of lemma zenon_L670_ *) % 83.65/83.87 assert (zenon_L671_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e22)) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H518 zenon_H509 zenon_H78 zenon_Ha3 zenon_H11e zenon_H50f zenon_H4fb zenon_H569 zenon_H12a. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ]. % 83.65/83.87 apply (zenon_L597_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ]. % 83.65/83.87 apply (zenon_L69_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ]. % 83.65/83.87 apply (zenon_L664_); trivial. % 83.65/83.87 apply (zenon_L665_); trivial. % 83.65/83.87 (* end of lemma zenon_L671_ *) % 83.65/83.87 assert (zenon_L672_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (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) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (op2 (e21) (e22)) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e23))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H140 zenon_Had zenon_Hab zenon_H47f zenon_Ha8 zenon_Hdc zenon_H142 zenon_H482 zenon_H129 zenon_H11f zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H556 zenon_H55b zenon_H563 zenon_H472 zenon_H7a zenon_H5d zenon_H569 zenon_H4fb zenon_H50f zenon_H11e zenon_Ha3 zenon_H78 zenon_H509 zenon_H518 zenon_Hd6. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.87 apply (zenon_L42_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.87 apply (zenon_L661_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.87 apply (zenon_L71_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.65/83.87 apply (zenon_L658_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.65/83.87 apply (zenon_L529_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.65/83.87 apply (zenon_L671_); trivial. % 83.65/83.87 apply (zenon_L606_); trivial. % 83.65/83.87 (* end of lemma zenon_L672_ *) % 83.65/83.87 assert (zenon_L673_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e22) = (e23))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H48e zenon_Hac zenon_H47f zenon_H556 zenon_H472 zenon_H140 zenon_Hd6 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_H482 zenon_H561 zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.65/83.87 apply (zenon_L42_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.65/83.87 apply (zenon_L669_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.65/83.87 apply (zenon_L656_); trivial. % 83.65/83.87 apply (zenon_L32_); trivial. % 83.65/83.87 (* end of lemma zenon_L673_ *) % 83.65/83.87 assert (zenon_L674_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (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) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((e21) = (e23))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H15c zenon_H5d zenon_Hb2 zenon_H129 zenon_H11f zenon_H7a zenon_H78 zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H556 zenon_H55b zenon_H563 zenon_H21e zenon_H21d zenon_H10c zenon_Hd6. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.87 apply (zenon_L43_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.87 apply (zenon_L658_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.87 apply (zenon_L139_); trivial. % 83.65/83.87 apply (zenon_L88_); trivial. % 83.65/83.87 (* end of lemma zenon_L674_ *) % 83.65/83.87 assert (zenon_L675_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (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) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e21) = (e23))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H15b zenon_H8a zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H482 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H140 zenon_H472 zenon_H47f zenon_H48e zenon_Had zenon_H15c zenon_H5d zenon_Hb2 zenon_H129 zenon_H11f zenon_H7a zenon_H78 zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H556 zenon_H55b zenon_H563 zenon_H21e zenon_H21d zenon_Hd6. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.87 apply (zenon_L41_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.87 apply (zenon_L673_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.87 apply (zenon_L152_); trivial. % 83.65/83.87 apply (zenon_L674_); trivial. % 83.65/83.87 (* end of lemma zenon_L675_ *) % 83.65/83.87 assert (zenon_L676_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (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) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H15c zenon_H5d zenon_Hb2 zenon_H129 zenon_H11f zenon_H7a zenon_H78 zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H556 zenon_H55b zenon_H563 zenon_Hd6 zenon_Hbb zenon_H10b zenon_H21e. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.87 apply (zenon_L43_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.87 apply (zenon_L658_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.87 apply (zenon_L83_); trivial. % 83.65/83.87 apply (zenon_L630_); trivial. % 83.65/83.87 (* end of lemma zenon_L676_ *) % 83.65/83.87 assert (zenon_L677_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H15b zenon_H8a zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H482 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H140 zenon_H472 zenon_H47f zenon_H48e zenon_H21e zenon_Hd6 zenon_H563 zenon_H55b zenon_H556 zenon_Hf7 zenon_H12c zenon_H561 zenon_H124 zenon_H78 zenon_H7a zenon_H11f zenon_H129 zenon_Hb2 zenon_H5d zenon_H15c zenon_H10b zenon_Had. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.87 apply (zenon_L41_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.87 apply (zenon_L673_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.87 apply (zenon_L676_); trivial. % 83.65/83.87 apply (zenon_L64_); trivial. % 83.65/83.87 (* end of lemma zenon_L677_ *) % 83.65/83.87 assert (zenon_L678_ : ((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(((op2 (op2 (e21) (e22)) (e21)) = (e22))/\(~((op2 (op2 (e21) (e22)) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (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) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e21))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H56b zenon_H48d zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_H13e zenon_Hef zenon_Hff zenon_He8 zenon_H102 zenon_Hc3 zenon_H141 zenon_H4fb zenon_H50f zenon_H509 zenon_H518 zenon_H554 zenon_H48b zenon_H15b zenon_H8a zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H482 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H140 zenon_H472 zenon_H47f zenon_H48e zenon_H21e zenon_Hd6 zenon_H563 zenon_H55b zenon_Hf7 zenon_H12c zenon_H124 zenon_H78 zenon_H7a zenon_H11f zenon_H129 zenon_Hb2 zenon_H5d zenon_H15c zenon_Had. % 83.65/83.87 apply (zenon_and_s _ _ zenon_H56b). zenon_intro zenon_H556. zenon_intro zenon_H56c. % 83.65/83.87 apply (zenon_and_s _ _ zenon_H56c). zenon_intro zenon_H569. zenon_intro zenon_H561. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.65/83.87 apply (zenon_L40_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.87 apply (zenon_L41_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.87 apply (zenon_L42_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.87 apply (zenon_L667_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.87 apply (zenon_L43_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.87 apply (zenon_L658_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.87 apply (zenon_L49_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.87 apply (zenon_L669_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.87 apply (zenon_L670_); trivial. % 83.65/83.87 apply (zenon_L672_); trivial. % 83.65/83.87 apply (zenon_L88_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.65/83.87 apply (zenon_L675_); trivial. % 83.65/83.87 apply (zenon_L677_); trivial. % 83.65/83.87 (* end of lemma zenon_L678_ *) % 83.65/83.87 assert (zenon_L679_ : ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H56d zenon_H13c zenon_Hb8 zenon_H472. % 83.65/83.87 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H473 | zenon_intro zenon_H474 ]. % 83.65/83.87 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H472. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H473. % 83.65/83.87 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H474]. % 83.65/83.87 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H475]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (e23)) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H475. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H56d. % 83.65/83.87 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H56e]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H473 | zenon_intro zenon_H474 ]. % 83.65/83.87 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (op2 (e21) (e23)) (e21)) = (op2 (e21) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H56e. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H473. % 83.65/83.87 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H474]. % 83.65/83.87 cut (((op2 (e21) (e21)) = (op2 (op2 (e21) (e23)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H56f]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.87 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H570]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_H570. apply sym_equal. exact zenon_H13c. % 83.65/83.87 apply zenon_Haf. apply refl_equal. % 83.65/83.87 apply zenon_H474. apply refl_equal. % 83.65/83.87 apply zenon_H474. apply refl_equal. % 83.65/83.87 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8. % 83.65/83.87 apply zenon_H474. apply refl_equal. % 83.65/83.87 apply zenon_H474. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L679_ *) % 83.65/83.87 assert (zenon_L680_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H140 zenon_H554 zenon_Hbb zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.87 apply (zenon_L652_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.87 apply (zenon_L536_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.87 apply (zenon_L71_); trivial. % 83.65/83.87 apply (zenon_L679_); trivial. % 83.65/83.87 (* end of lemma zenon_L680_ *) % 83.65/83.87 assert (zenon_L681_ : (~((op2 (e22) (e21)) = (op2 (op2 (e21) (e23)) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H571 zenon_H130. % 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.87 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52a]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_H52a. apply sym_equal. exact zenon_H130. % 83.65/83.87 apply zenon_Haf. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L681_ *) % 83.65/83.87 assert (zenon_L682_ : ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H56d zenon_H130 zenon_Hb8 zenon_H466. % 83.65/83.87 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H572 | zenon_intro zenon_H573 ]. % 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H466. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H572. % 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H573]. % 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H574]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (e23)) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H574. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H56d. % 83.65/83.87 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H575]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H572 | zenon_intro zenon_H573 ]. % 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (op2 (e21) (e23)) (e21)) = (op2 (e22) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H575. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H572. % 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H573]. % 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (op2 (e21) (e23)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H571]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L681_); trivial. % 83.65/83.87 apply zenon_H573. apply refl_equal. % 83.65/83.87 apply zenon_H573. apply refl_equal. % 83.65/83.87 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8. % 83.65/83.87 apply zenon_H573. apply refl_equal. % 83.65/83.87 apply zenon_H573. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L682_ *) % 83.65/83.87 assert (zenon_L683_ : (~((op2 (e23) (e21)) = (op2 (op2 (e21) (e23)) (e21)))) -> ((op2 (e21) (e23)) = (e23)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H576 zenon_H47e. % 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.65/83.87 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H577]. % 83.65/83.87 congruence. % 83.65/83.87 apply zenon_H577. apply sym_equal. exact zenon_H47e. % 83.65/83.87 apply zenon_Haf. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L683_ *) % 83.65/83.87 assert (zenon_L684_ : ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H56d zenon_H47e zenon_Hb8 zenon_H511. % 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H511. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H49d. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H512]. % 83.65/83.87 congruence. % 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (e23)) = ((op2 (e23) (e21)) = (op2 (e20) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H512. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H56d. % 83.65/83.87 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H578]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e23)) (e21)) = (op2 (e23) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H578. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H49d. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e23)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H576]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L683_); trivial. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 apply zenon_H49e. apply refl_equal. % 83.65/83.87 (* end of lemma zenon_L684_ *) % 83.65/83.87 assert (zenon_L685_ : (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> False). % 83.65/83.87 do 0 intro. intros zenon_H579 zenon_H56d zenon_H130 zenon_H51c. % 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (e23)) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H579. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H56d. % 83.65/83.87 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H51d]. % 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H575]. % 83.65/83.87 congruence. % 83.65/83.87 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H572 | zenon_intro zenon_H573 ]. % 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (op2 (e21) (e23)) (e21)) = (op2 (e22) (e21)))). % 83.65/83.87 intro zenon_D_pnotp. % 83.65/83.87 apply zenon_H575. % 83.65/83.87 rewrite <- zenon_D_pnotp. % 83.65/83.87 exact zenon_H572. % 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H573]. % 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (op2 (e21) (e23)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H571]. % 83.65/83.87 congruence. % 83.65/83.87 apply (zenon_L681_); trivial. % 83.65/83.87 apply zenon_H573. apply refl_equal. % 83.65/83.87 apply zenon_H573. apply refl_equal. % 83.65/83.87 apply zenon_H51d. apply sym_equal. exact zenon_H51c. % 83.65/83.87 (* end of lemma zenon_L685_ *) % 83.65/83.87 assert (zenon_L686_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.65/83.87 do 0 intro. intros zenon_H57a zenon_H63 zenon_H73 zenon_H472 zenon_H51c zenon_H579 zenon_H56d zenon_Hb8 zenon_H511. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ]. % 83.65/83.87 apply (zenon_L26_); trivial. % 83.65/83.87 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ]. % 83.65/83.87 apply (zenon_L679_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ]. % 83.65/83.88 apply (zenon_L685_); trivial. % 83.65/83.88 apply (zenon_L684_); trivial. % 83.65/83.88 (* end of lemma zenon_L686_ *) % 83.65/83.88 assert (zenon_L687_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_Hce zenon_H511 zenon_Hb8 zenon_H56d zenon_H579 zenon_H51c zenon_H472 zenon_H57a zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.88 apply (zenon_L686_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.88 apply (zenon_L32_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.88 apply (zenon_L34_); trivial. % 83.65/83.88 apply (zenon_L36_); trivial. % 83.65/83.88 (* end of lemma zenon_L687_ *) % 83.65/83.88 assert (zenon_L688_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 83.65/83.88 do 0 intro. intros zenon_H4fb zenon_H56d zenon_H47e zenon_H4ff. % 83.65/83.88 cut (((op2 (op2 (e21) (e23)) (e21)) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 83.65/83.88 intro zenon_D_pnotp. % 83.65/83.88 apply zenon_H4fb. % 83.65/83.88 rewrite <- zenon_D_pnotp. % 83.65/83.88 exact zenon_H56d. % 83.65/83.88 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H57d]. % 83.65/83.88 cut (((op2 (op2 (e21) (e23)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H578]. % 83.65/83.88 congruence. % 83.65/83.88 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.88 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e23)) (e21)) = (op2 (e23) (e21)))). % 83.65/83.88 intro zenon_D_pnotp. % 83.65/83.88 apply zenon_H578. % 83.65/83.88 rewrite <- zenon_D_pnotp. % 83.65/83.88 exact zenon_H49d. % 83.65/83.88 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.88 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e23)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H576]. % 83.65/83.88 congruence. % 83.65/83.88 apply (zenon_L683_); trivial. % 83.65/83.88 apply zenon_H49e. apply refl_equal. % 83.65/83.88 apply zenon_H49e. apply refl_equal. % 83.65/83.88 apply zenon_H57d. apply sym_equal. exact zenon_H4ff. % 83.65/83.88 (* end of lemma zenon_L688_ *) % 83.65/83.88 assert (zenon_L689_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 83.65/83.88 do 0 intro. intros zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H472 zenon_Hb8 zenon_Hfd zenon_H12f zenon_H4fb zenon_H56d zenon_H4ff. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ]. % 83.65/83.88 apply (zenon_L32_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ]. % 83.65/83.88 apply (zenon_L679_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ]. % 83.65/83.88 apply (zenon_L74_); trivial. % 83.65/83.88 apply (zenon_L688_); trivial. % 83.65/83.88 (* end of lemma zenon_L689_ *) % 83.65/83.88 assert (zenon_L690_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> False). % 83.65/83.88 do 0 intro. intros zenon_H51e zenon_H94 zenon_H91 zenon_H579 zenon_H511 zenon_Hce zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H472 zenon_Hb8 zenon_Hfd zenon_H12f zenon_H4fb zenon_H56d. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H51e); [ zenon_intro zenon_H89 | zenon_intro zenon_H51f ]. % 83.65/83.88 apply (zenon_L31_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H51f); [ zenon_intro zenon_H47e | zenon_intro zenon_H520 ]. % 83.65/83.88 apply (zenon_L684_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H51c | zenon_intro zenon_H4ff ]. % 83.65/83.88 apply (zenon_L687_); trivial. % 83.65/83.88 apply (zenon_L689_); trivial. % 83.65/83.88 (* end of lemma zenon_L690_ *) % 83.65/83.88 assert (zenon_L691_ : (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> False). % 83.65/83.88 do 0 intro. intros zenon_H529 zenon_Hac zenon_H13c. % 83.65/83.88 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))). % 83.65/83.88 intro zenon_D_pnotp. % 83.65/83.88 apply zenon_H529. % 83.65/83.88 rewrite <- zenon_D_pnotp. % 83.65/83.88 exact zenon_Hac. % 83.65/83.88 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H570]. % 83.65/83.88 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 83.65/83.88 congruence. % 83.65/83.88 apply zenon_Hd4. apply refl_equal. % 83.65/83.88 apply zenon_H570. apply sym_equal. exact zenon_H13c. % 83.65/83.88 (* end of lemma zenon_L691_ *) % 83.65/83.88 assert (zenon_L692_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e23) (e23)) = (e22)) -> False). % 83.65/83.88 do 0 intro. intros zenon_H57e zenon_H130 zenon_H4fc. % 83.65/83.88 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 83.65/83.88 intro zenon_D_pnotp. % 83.65/83.88 apply zenon_H57e. % 83.65/83.88 rewrite <- zenon_D_pnotp. % 83.65/83.88 exact zenon_H130. % 83.65/83.88 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fd]. % 83.65/83.88 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 83.65/83.88 congruence. % 83.65/83.88 apply zenon_H132. apply refl_equal. % 83.65/83.88 apply zenon_H4fd. apply sym_equal. exact zenon_H4fc. % 83.65/83.88 (* end of lemma zenon_L692_ *) % 83.65/83.88 assert (zenon_L693_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_Hac zenon_H529 zenon_H4fc zenon_H57e zenon_H56d zenon_Hb8 zenon_H511. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ]. % 83.65/83.88 apply (zenon_L32_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ]. % 83.65/83.88 apply (zenon_L691_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ]. % 83.65/83.88 apply (zenon_L692_); trivial. % 83.65/83.88 apply (zenon_L684_); trivial. % 83.65/83.88 (* end of lemma zenon_L693_ *) % 83.65/83.88 assert (zenon_L694_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_H57f zenon_H466 zenon_H4fb zenon_H12f zenon_H472 zenon_Hce zenon_H579 zenon_H91 zenon_H94 zenon_H51e zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_Hac zenon_H529 zenon_H57e zenon_H56d zenon_Hb8 zenon_H511. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.65/83.88 apply (zenon_L29_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.65/83.88 apply (zenon_L682_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.65/83.88 apply (zenon_L690_); trivial. % 83.65/83.88 apply (zenon_L693_); trivial. % 83.65/83.88 (* end of lemma zenon_L694_ *) % 83.65/83.88 assert (zenon_L695_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_H140 zenon_H57e zenon_H529 zenon_H57f zenon_H466 zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_Hf7 zenon_H51e zenon_H94 zenon_H91 zenon_H579 zenon_H511 zenon_Hce zenon_H57a zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H12f zenon_H4fb zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.88 apply (zenon_L694_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.88 apply (zenon_L53_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.88 apply (zenon_L54_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.65/83.88 apply (zenon_L57_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.65/83.88 apply (zenon_L58_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.65/83.88 apply (zenon_L59_); trivial. % 83.65/83.88 apply (zenon_L690_); trivial. % 83.65/83.88 apply (zenon_L682_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.88 apply (zenon_L71_); trivial. % 83.65/83.88 apply (zenon_L679_); trivial. % 83.65/83.88 (* end of lemma zenon_L695_ *) % 83.65/83.88 assert (zenon_L696_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 83.65/83.88 do 0 intro. intros zenon_H50f zenon_H56d zenon_H47e zenon_H582. % 83.65/83.88 cut (((op2 (op2 (e21) (e23)) (e21)) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 83.65/83.88 intro zenon_D_pnotp. % 83.65/83.88 apply zenon_H50f. % 83.65/83.88 rewrite <- zenon_D_pnotp. % 83.65/83.88 exact zenon_H56d. % 83.65/83.88 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H583]. % 83.65/83.88 cut (((op2 (op2 (e21) (e23)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H578]. % 83.65/83.88 congruence. % 83.65/83.88 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.65/83.88 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e23)) (e21)) = (op2 (e23) (e21)))). % 83.65/83.88 intro zenon_D_pnotp. % 83.65/83.88 apply zenon_H578. % 83.65/83.88 rewrite <- zenon_D_pnotp. % 83.65/83.88 exact zenon_H49d. % 83.65/83.88 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.65/83.88 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e23)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H576]. % 83.65/83.88 congruence. % 83.65/83.88 apply (zenon_L683_); trivial. % 83.65/83.88 apply zenon_H49e. apply refl_equal. % 83.65/83.88 apply zenon_H49e. apply refl_equal. % 83.65/83.88 apply zenon_H583. apply sym_equal. exact zenon_H582. % 83.65/83.88 (* end of lemma zenon_L696_ *) % 83.65/83.88 assert (zenon_L697_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False). % 83.65/83.88 do 0 intro. intros zenon_H584 zenon_H11e zenon_H112 zenon_H78 zenon_H7a zenon_Hf8 zenon_H11f zenon_H50f zenon_H56d zenon_H47e. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H121 | zenon_intro zenon_H585 ]. % 83.65/83.88 apply (zenon_L600_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H111 | zenon_intro zenon_H586 ]. % 83.65/83.88 apply (zenon_L66_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H586); [ zenon_intro zenon_H50d | zenon_intro zenon_H582 ]. % 83.65/83.88 apply (zenon_L598_); trivial. % 83.65/83.88 apply (zenon_L696_); trivial. % 83.65/83.88 (* end of lemma zenon_L697_ *) % 83.65/83.88 assert (zenon_L698_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> False). % 83.65/83.88 do 0 intro. intros zenon_H518 zenon_H509 zenon_Ha3 zenon_H57a zenon_H63 zenon_H73 zenon_H472 zenon_Hb8 zenon_H57e zenon_H584 zenon_H11e zenon_H112 zenon_H78 zenon_H7a zenon_Hf8 zenon_H11f zenon_H50f zenon_H56d. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ]. % 83.65/83.88 apply (zenon_L597_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ]. % 83.65/83.88 apply (zenon_L69_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ]. % 83.65/83.88 apply (zenon_L598_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ]. % 83.65/83.88 apply (zenon_L26_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ]. % 83.65/83.88 apply (zenon_L679_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ]. % 83.65/83.88 apply (zenon_L692_); trivial. % 83.65/83.88 apply (zenon_L697_); trivial. % 83.65/83.88 (* end of lemma zenon_L698_ *) % 83.65/83.88 assert (zenon_L699_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_Hce zenon_H56d zenon_H50f zenon_H11f zenon_Hf8 zenon_H112 zenon_H11e zenon_H584 zenon_H57e zenon_Hb8 zenon_H472 zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.65/83.88 apply (zenon_L698_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.65/83.88 apply (zenon_L32_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.65/83.88 apply (zenon_L34_); trivial. % 83.65/83.88 apply (zenon_L36_); trivial. % 83.65/83.88 (* end of lemma zenon_L699_ *) % 83.65/83.88 assert (zenon_L700_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_H142 zenon_Hdc zenon_Ha8 zenon_He1 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H518 zenon_H509 zenon_Ha3 zenon_H57a zenon_H472 zenon_H57e zenon_H584 zenon_H11e zenon_H112 zenon_H11f zenon_H50f zenon_Hce zenon_H56d zenon_Hb8 zenon_H466. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.88 apply (zenon_L53_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.88 apply (zenon_L54_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.88 apply (zenon_L699_); trivial. % 83.65/83.88 apply (zenon_L682_); trivial. % 83.65/83.88 (* end of lemma zenon_L700_ *) % 83.65/83.88 assert (zenon_L701_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_H140 zenon_Had zenon_Hab zenon_H466 zenon_Hce zenon_H50f zenon_H11f zenon_H112 zenon_H11e zenon_H584 zenon_H57e zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H5d zenon_H8a zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.88 apply (zenon_L42_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.88 apply (zenon_L700_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.88 apply (zenon_L71_); trivial. % 83.65/83.88 apply (zenon_L679_); trivial. % 83.65/83.88 (* end of lemma zenon_L701_ *) % 83.65/83.88 assert (zenon_L702_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_H14f zenon_Hbb zenon_H554 zenon_H4fb zenon_H12f zenon_H511 zenon_H579 zenon_H51e zenon_Hf7 zenon_Hef zenon_Hff zenon_H57f zenon_H529 zenon_H140 zenon_Had zenon_Hab zenon_H466 zenon_Hce zenon_H50f zenon_H11f zenon_H112 zenon_H584 zenon_H57e zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H5d zenon_H8a zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.88 apply (zenon_L49_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.88 apply (zenon_L680_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.88 apply (zenon_L695_); trivial. % 83.65/83.88 apply (zenon_L701_); trivial. % 83.65/83.88 (* end of lemma zenon_L702_ *) % 83.65/83.88 assert (zenon_L703_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((e22) = (op2 (e20) (e20))) -> (~((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)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_Hc9 zenon_Hb2 zenon_H472 zenon_H56d zenon_H78 zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H518 zenon_H509 zenon_Ha3 zenon_H57a zenon_H57e zenon_H584 zenon_H112 zenon_H11f zenon_H50f zenon_Hce zenon_H466 zenon_Hab zenon_Had zenon_H140 zenon_H529 zenon_H57f zenon_Hff zenon_Hef zenon_Hf7 zenon_H51e zenon_H579 zenon_H511 zenon_H12f zenon_H4fb zenon_H554 zenon_Hbb zenon_H14f zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.88 apply (zenon_L43_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.88 apply (zenon_L702_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.88 apply (zenon_L46_); trivial. % 83.65/83.88 apply (zenon_L31_); trivial. % 83.65/83.88 (* end of lemma zenon_L703_ *) % 83.65/83.88 assert (zenon_L704_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.88 apply (zenon_L52_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.88 apply (zenon_L536_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.88 apply (zenon_L71_); trivial. % 83.65/83.88 apply (zenon_L679_); trivial. % 83.65/83.88 (* end of lemma zenon_L704_ *) % 83.65/83.88 assert (zenon_L705_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_H466 zenon_Hce zenon_H50f zenon_H11f zenon_H112 zenon_H11e zenon_H584 zenon_H57e zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H5d zenon_H8a zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.88 apply (zenon_L52_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.88 apply (zenon_L700_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.88 apply (zenon_L71_); trivial. % 83.65/83.88 apply (zenon_L679_); trivial. % 83.65/83.88 (* end of lemma zenon_L705_ *) % 83.65/83.88 assert (zenon_L706_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_H140 zenon_Hab zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.88 apply (zenon_L42_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.88 apply (zenon_L536_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.88 apply (zenon_L71_); trivial. % 83.65/83.88 apply (zenon_L679_); trivial. % 83.65/83.88 (* end of lemma zenon_L706_ *) % 83.65/83.88 assert (zenon_L707_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((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)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_H14f zenon_H10c zenon_H13e zenon_Hf7 zenon_Hef zenon_Hff zenon_He8 zenon_H152 zenon_Hd6 zenon_H102 zenon_Hc3 zenon_H141 zenon_H57f zenon_H4fb zenon_H12f zenon_H579 zenon_H51e zenon_H529 zenon_H511 zenon_H140 zenon_Had zenon_Hab zenon_H466 zenon_Hce zenon_H50f zenon_H11f zenon_H112 zenon_H584 zenon_H57e zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H5d zenon_H8a zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.88 apply (zenon_L49_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.88 apply (zenon_L706_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.65/83.88 apply (zenon_L694_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.65/83.88 apply (zenon_L53_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.65/83.88 apply (zenon_L54_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.65/83.88 apply (zenon_L516_); trivial. % 83.65/83.88 apply (zenon_L682_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.65/83.88 apply (zenon_L71_); trivial. % 83.65/83.88 apply (zenon_L518_); trivial. % 83.65/83.88 apply (zenon_L701_); trivial. % 83.65/83.88 (* end of lemma zenon_L707_ *) % 83.65/83.88 assert (zenon_L708_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_Hc9 zenon_Hb2 zenon_H511 zenon_H56d zenon_H57e zenon_H529 zenon_Hac zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H57a zenon_H51e zenon_H94 zenon_H91 zenon_H579 zenon_Hce zenon_H472 zenon_H12f zenon_H4fb zenon_H466 zenon_H57f zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.88 apply (zenon_L43_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.88 apply (zenon_L694_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.88 apply (zenon_L46_); trivial. % 83.65/83.88 apply (zenon_L31_); trivial. % 83.65/83.88 (* end of lemma zenon_L708_ *) % 83.65/83.88 assert (zenon_L709_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_Hc9 zenon_Hd6 zenon_H10c zenon_H21d zenon_H21e zenon_H14f zenon_Had zenon_H48b zenon_H140 zenon_H466 zenon_Hce zenon_H50f zenon_H11f zenon_H112 zenon_H584 zenon_H57e zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H56d zenon_H472 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.65/83.88 apply (zenon_L43_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.65/83.88 apply (zenon_L43_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.65/83.88 apply (zenon_L49_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.65/83.88 apply (zenon_L704_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.65/83.88 apply (zenon_L542_); trivial. % 83.65/83.88 apply (zenon_L705_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.65/83.88 apply (zenon_L139_); trivial. % 83.65/83.88 apply (zenon_L88_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.65/83.88 apply (zenon_L46_); trivial. % 83.65/83.88 apply (zenon_L31_); trivial. % 83.65/83.88 (* end of lemma zenon_L709_ *) % 83.65/83.88 assert (zenon_L710_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_H15b zenon_H57f zenon_H4fb zenon_H12f zenon_H579 zenon_H51e zenon_H529 zenon_H511 zenon_Hc9 zenon_Hd6 zenon_H21d zenon_H21e zenon_H14f zenon_Had zenon_H48b zenon_H140 zenon_H466 zenon_Hce zenon_H50f zenon_H11f zenon_H112 zenon_H584 zenon_H57e zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H56d zenon_H472 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.65/83.88 apply (zenon_L41_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.65/83.88 apply (zenon_L708_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.65/83.88 apply (zenon_L152_); trivial. % 83.65/83.88 apply (zenon_L709_); trivial. % 83.65/83.88 (* end of lemma zenon_L710_ *) % 83.65/83.88 assert (zenon_L711_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False). % 83.65/83.88 do 0 intro. intros zenon_H587 zenon_H21e zenon_H10b zenon_H511 zenon_H7a zenon_H5d zenon_H50f zenon_H4fb zenon_H56d zenon_H47e. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ]. % 83.65/83.88 apply (zenon_L630_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ]. % 83.65/83.88 apply (zenon_L601_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ]. % 83.65/83.88 apply (zenon_L696_); trivial. % 83.65/83.88 apply (zenon_L688_); trivial. % 83.65/83.88 (* end of lemma zenon_L711_ *) % 83.65/83.88 assert (zenon_L712_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 83.65/83.88 do 0 intro. intros zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_Hac zenon_H529 zenon_H51c zenon_H579 zenon_H50f zenon_H56d zenon_H582. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ]. % 83.65/83.88 apply (zenon_L32_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ]. % 83.65/83.88 apply (zenon_L691_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ]. % 83.65/83.88 apply (zenon_L685_); trivial. % 83.65/83.88 apply (zenon_L696_); trivial. % 83.65/83.88 (* end of lemma zenon_L712_ *) % 83.65/83.88 assert (zenon_L713_ : ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> False). % 83.65/83.88 do 0 intro. intros zenon_Hac zenon_H529 zenon_H579 zenon_H50f zenon_H587 zenon_H21e zenon_H10b zenon_H511 zenon_H51e zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H472 zenon_Hb8 zenon_Hfd zenon_H12f zenon_H4fb zenon_H56d. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ]. % 83.65/83.88 apply (zenon_L630_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ]. % 83.65/83.88 apply (zenon_L601_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ]. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H51e); [ zenon_intro zenon_H89 | zenon_intro zenon_H51f ]. % 83.65/83.88 apply (zenon_L31_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H51f); [ zenon_intro zenon_H47e | zenon_intro zenon_H520 ]. % 83.65/83.88 apply (zenon_L711_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H51c | zenon_intro zenon_H4ff ]. % 83.65/83.88 apply (zenon_L712_); trivial. % 83.65/83.88 apply (zenon_L689_); trivial. % 83.65/83.88 apply (zenon_L689_); trivial. % 83.65/83.88 (* end of lemma zenon_L713_ *) % 83.65/83.88 assert (zenon_L714_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 83.65/83.88 do 0 intro. intros zenon_H57a zenon_H63 zenon_H73 zenon_Hac zenon_H529 zenon_H4fc zenon_H57e zenon_H4fb zenon_H56d zenon_H4ff. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ]. % 83.65/83.88 apply (zenon_L26_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ]. % 83.65/83.88 apply (zenon_L691_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ]. % 83.65/83.88 apply (zenon_L692_); trivial. % 83.65/83.88 apply (zenon_L688_); trivial. % 83.65/83.88 (* end of lemma zenon_L714_ *) % 83.65/83.88 assert (zenon_L715_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> False). % 83.65/83.88 do 0 intro. intros zenon_H57f zenon_H466 zenon_H12f zenon_Hb8 zenon_H472 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H8e zenon_H579 zenon_H50f zenon_H587 zenon_H21e zenon_H10b zenon_H511 zenon_H51e zenon_H57a zenon_H63 zenon_H73 zenon_Hac zenon_H529 zenon_H57e zenon_H4fb zenon_H56d. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.65/83.88 apply (zenon_L29_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.65/83.88 apply (zenon_L682_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.65/83.88 apply (zenon_L713_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ]. % 83.65/83.88 apply (zenon_L630_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ]. % 83.65/83.88 apply (zenon_L601_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ]. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H51e); [ zenon_intro zenon_H89 | zenon_intro zenon_H51f ]. % 83.65/83.88 apply (zenon_L31_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H51f); [ zenon_intro zenon_H47e | zenon_intro zenon_H520 ]. % 83.65/83.88 apply (zenon_L711_); trivial. % 83.65/83.88 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H51c | zenon_intro zenon_H4ff ]. % 83.65/83.88 apply (zenon_L712_); trivial. % 83.65/83.88 apply (zenon_L714_); trivial. % 83.65/83.88 apply (zenon_L714_); trivial. % 83.65/83.88 (* end of lemma zenon_L715_ *) % 83.65/83.88 assert (zenon_L716_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.65/83.88 do 0 intro. intros zenon_Hc9 zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H57f zenon_H466 zenon_H12f zenon_H472 zenon_H579 zenon_H50f zenon_H587 zenon_H21e zenon_H10b zenon_H511 zenon_H51e zenon_H57a zenon_Hac zenon_H529 zenon_H57e zenon_H4fb zenon_H56d zenon_Hce zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.65/83.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.88 apply (zenon_L43_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.88 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.75/83.88 apply (zenon_L715_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.75/83.88 apply (zenon_L32_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.75/83.88 apply (zenon_L34_); trivial. % 83.75/83.88 apply (zenon_L36_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.88 apply (zenon_L46_); trivial. % 83.75/83.88 apply (zenon_L31_); trivial. % 83.75/83.88 (* end of lemma zenon_L716_ *) % 83.75/83.88 assert (zenon_L717_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e22)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> False). % 83.75/83.88 do 0 intro. intros zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H120 zenon_H587 zenon_H21e zenon_H10b zenon_H511 zenon_H7a zenon_H5d zenon_H50f zenon_H4fb zenon_H56d. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.75/83.88 apply (zenon_L52_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.75/83.88 apply (zenon_L529_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.75/83.88 apply (zenon_L625_); trivial. % 83.75/83.88 apply (zenon_L711_); trivial. % 83.75/83.88 (* end of lemma zenon_L717_ *) % 83.75/83.88 assert (zenon_L718_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False). % 83.75/83.88 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Ha8 zenon_He1 zenon_Ha3 zenon_H120 zenon_H56d zenon_Hb8 zenon_H466. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.88 apply (zenon_L53_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.88 apply (zenon_L54_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.88 apply (zenon_L539_); trivial. % 83.75/83.88 apply (zenon_L682_); trivial. % 83.75/83.88 (* end of lemma zenon_L718_ *) % 83.75/83.88 assert (zenon_L719_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 83.75/83.88 do 0 intro. intros zenon_H140 zenon_H4fb zenon_H50f zenon_H5d zenon_H511 zenon_H10b zenon_H21e zenon_H587 zenon_Hd6 zenon_H482 zenon_H466 zenon_H120 zenon_Ha3 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.88 apply (zenon_L717_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.88 apply (zenon_L718_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.88 apply (zenon_L71_); trivial. % 83.75/83.88 apply (zenon_L679_); trivial. % 83.75/83.88 (* end of lemma zenon_L719_ *) % 83.75/83.88 assert (zenon_L720_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> False). % 83.75/83.88 do 0 intro. intros zenon_H15b zenon_H8a zenon_H7a zenon_H5d zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H140 zenon_H4fb zenon_H50f zenon_H511 zenon_H587 zenon_H482 zenon_H466 zenon_Ha3 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H56d zenon_H472 zenon_H14f zenon_H554 zenon_H12f zenon_H579 zenon_H51e zenon_Hf7 zenon_Hef zenon_Hff zenon_H57f zenon_H529 zenon_Hce zenon_H11f zenon_H112 zenon_H584 zenon_H57e zenon_H57a zenon_H509 zenon_H518 zenon_H91 zenon_H94 zenon_H48e zenon_Hd6 zenon_H21e zenon_Hc9 zenon_H10b zenon_Had. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.88 apply (zenon_L41_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.88 apply (zenon_L716_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.88 apply (zenon_L43_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.88 apply (zenon_L43_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.88 apply (zenon_L702_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.88 apply (zenon_L704_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.88 apply (zenon_L719_); trivial. % 83.75/83.88 apply (zenon_L32_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.88 apply (zenon_L83_); trivial. % 83.75/83.88 apply (zenon_L630_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.88 apply (zenon_L46_); trivial. % 83.75/83.88 apply (zenon_L31_); trivial. % 83.75/83.88 apply (zenon_L64_); trivial. % 83.75/83.88 (* end of lemma zenon_L720_ *) % 83.75/83.88 assert (zenon_L721_ : ((~((op2 (e21) (op2 (e21) (e23))) = (e23)))/\(((op2 (op2 (e21) (e23)) (e21)) = (e23))/\(~((op2 (op2 (e21) (e23)) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> False). % 83.75/83.88 do 0 intro. intros zenon_H58a zenon_H48d zenon_H141 zenon_H102 zenon_He8 zenon_H13e zenon_H48b zenon_H15b zenon_H8a zenon_H7a zenon_H5d zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H140 zenon_H4fb zenon_H50f zenon_H511 zenon_H587 zenon_H482 zenon_H466 zenon_Ha3 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H472 zenon_H14f zenon_H554 zenon_H12f zenon_H579 zenon_H51e zenon_Hf7 zenon_Hef zenon_Hff zenon_H57f zenon_H529 zenon_Hce zenon_H11f zenon_H112 zenon_H584 zenon_H57e zenon_H57a zenon_H509 zenon_H518 zenon_H91 zenon_H94 zenon_H48e zenon_Hd6 zenon_H21e zenon_Hc9 zenon_Had. % 83.75/83.88 apply (zenon_and_s _ _ zenon_H58a). zenon_intro zenon_H58c. zenon_intro zenon_H58b. % 83.75/83.88 apply (zenon_and_s _ _ zenon_H58b). zenon_intro zenon_H56d. zenon_intro zenon_H58d. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.88 apply (zenon_L40_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.88 apply (zenon_L41_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.88 apply (zenon_L42_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.88 apply (zenon_L703_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.88 apply (zenon_L43_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.88 apply (zenon_L43_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.88 apply (zenon_L49_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.88 apply (zenon_L704_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.88 apply (zenon_L695_); trivial. % 83.75/83.88 apply (zenon_L705_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.88 apply (zenon_L707_); trivial. % 83.75/83.88 apply (zenon_L88_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.88 apply (zenon_L46_); trivial. % 83.75/83.88 apply (zenon_L31_); trivial. % 83.75/83.88 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.88 apply (zenon_L710_); trivial. % 83.75/83.88 apply (zenon_L720_); trivial. % 83.75/83.88 (* end of lemma zenon_L721_ *) % 83.75/83.88 assert (zenon_L722_ : (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> False). % 83.75/83.88 do 0 intro. intros zenon_H58e zenon_He4 zenon_Hbb. % 83.75/83.89 cut (((op2 (e22) (e21)) = (e20)) = ((op2 (e22) (op2 (e22) (e20))) = (e20))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H58e. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_He4. % 83.75/83.89 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.75/83.89 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H58f]. % 83.75/83.89 congruence. % 83.75/83.89 elim (classic ((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (op2 (e22) (e20))))); [ zenon_intro zenon_H590 | zenon_intro zenon_H591 ]. % 83.75/83.89 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (op2 (e22) (e20)))) = ((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e20))))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H58f. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H590. % 83.75/83.89 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H591]. % 83.75/83.89 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H592]. % 83.75/83.89 congruence. % 83.75/83.89 cut (((op2 (e22) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H243]. % 83.75/83.89 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.89 congruence. % 83.75/83.89 apply zenon_Ha1. apply refl_equal. % 83.75/83.89 exact (zenon_H243 zenon_Hbb). % 83.75/83.89 apply zenon_H591. apply refl_equal. % 83.75/83.89 apply zenon_H591. apply refl_equal. % 83.75/83.89 apply zenon_H60. apply refl_equal. % 83.75/83.89 (* end of lemma zenon_L722_ *) % 83.75/83.89 assert (zenon_L723_ : (~((op2 (e20) (e20)) = (op2 (op2 (e22) (e20)) (e20)))) -> ((op2 (e22) (e20)) = (e20)) -> False). % 83.75/83.89 do 0 intro. intros zenon_H593 zenon_H21d. % 83.75/83.89 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.75/83.89 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H594]. % 83.75/83.89 congruence. % 83.75/83.89 apply zenon_H594. apply sym_equal. exact zenon_H21d. % 83.75/83.89 apply zenon_H60. apply refl_equal. % 83.75/83.89 (* end of lemma zenon_L723_ *) % 83.75/83.89 assert (zenon_L724_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H78 zenon_H21d zenon_H595. % 83.75/83.89 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ]. % 83.75/83.89 cut (((e22) = (e22)) = ((op2 (op2 (e22) (e20)) (e20)) = (e22))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H595. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_Ha4. % 83.75/83.89 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.89 cut (((e22) = (op2 (op2 (e22) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H596]. % 83.75/83.89 congruence. % 83.75/83.89 cut (((e22) = (op2 (e20) (e20))) = ((e22) = (op2 (op2 (e22) (e20)) (e20)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H596. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H78. % 83.75/83.89 cut (((op2 (e20) (e20)) = (op2 (op2 (e22) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H593]. % 83.75/83.89 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.89 congruence. % 83.75/83.89 apply zenon_Ha1. apply refl_equal. % 83.75/83.89 apply (zenon_L723_); trivial. % 83.75/83.89 apply zenon_Ha1. apply refl_equal. % 83.75/83.89 apply zenon_Ha1. apply refl_equal. % 83.75/83.89 (* end of lemma zenon_L724_ *) % 83.75/83.89 assert (zenon_L725_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e22)) = (e20)) -> False). % 83.75/83.89 do 0 intro. intros zenon_Hf7 zenon_H597 zenon_Hbb zenon_H4cc. % 83.75/83.89 cut (((op2 (op2 (e22) (e20)) (e22)) = (e20)) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_Hf7. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H597. % 83.75/83.89 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4cd]. % 83.75/83.89 cut (((op2 (op2 (e22) (e20)) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H598]. % 83.75/83.89 congruence. % 83.75/83.89 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ]. % 83.75/83.89 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (op2 (e22) (e20)) (e22)) = (op2 (e21) (e22)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H598. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H125. % 83.75/83.89 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 83.75/83.89 cut (((op2 (e21) (e22)) = (op2 (op2 (e22) (e20)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H599]. % 83.75/83.89 congruence. % 83.75/83.89 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.89 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 83.75/83.89 congruence. % 83.75/83.89 apply zenon_Hc0. apply sym_equal. exact zenon_Hbb. % 83.75/83.89 apply zenon_Ha1. apply refl_equal. % 83.75/83.89 apply zenon_Hfb. apply refl_equal. % 83.75/83.89 apply zenon_Hfb. apply refl_equal. % 83.75/83.89 apply zenon_H4cd. apply sym_equal. exact zenon_H4cc. % 83.75/83.89 (* end of lemma zenon_L725_ *) % 83.75/83.89 assert (zenon_L726_ : (~((op2 (e23) (e22)) = (op2 (op2 (e22) (e20)) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> False). % 83.75/83.89 do 0 intro. intros zenon_H59a zenon_H152. % 83.75/83.89 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.89 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H534]. % 83.75/83.89 congruence. % 83.75/83.89 apply zenon_H534. apply sym_equal. exact zenon_H152. % 83.75/83.89 apply zenon_Ha1. apply refl_equal. % 83.75/83.89 (* end of lemma zenon_L726_ *) % 83.75/83.89 assert (zenon_L727_ : ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H597 zenon_H152 zenon_H4cc zenon_H59b. % 83.75/83.89 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H59b. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H113. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59c]. % 83.75/83.89 congruence. % 83.75/83.89 cut (((op2 (op2 (e22) (e20)) (e22)) = (e20)) = ((op2 (e23) (e22)) = (op2 (e22) (e22)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H59c. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H597. % 83.75/83.89 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4cd]. % 83.75/83.89 cut (((op2 (op2 (e22) (e20)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59d]. % 83.75/83.89 congruence. % 83.75/83.89 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (op2 (e22) (e20)) (e22)) = (op2 (e23) (e22)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H59d. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H113. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (op2 (e22) (e20)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59a]. % 83.75/83.89 congruence. % 83.75/83.89 apply (zenon_L726_); trivial. % 83.75/83.89 apply zenon_H114. apply refl_equal. % 83.75/83.89 apply zenon_H114. apply refl_equal. % 83.75/83.89 apply zenon_H4cd. apply sym_equal. exact zenon_H4cc. % 83.75/83.89 apply zenon_H114. apply refl_equal. % 83.75/83.89 apply zenon_H114. apply refl_equal. % 83.75/83.89 (* end of lemma zenon_L727_ *) % 83.75/83.89 assert (zenon_L728_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 83.75/83.89 do 0 intro. intros zenon_H59e zenon_H21e zenon_Ha3 zenon_Hf5 zenon_H59b zenon_H152 zenon_H597 zenon_H91 zenon_H63. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H21d | zenon_intro zenon_H59f ]. % 83.75/83.89 apply (zenon_L139_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H59f); [ zenon_intro zenon_He4 | zenon_intro zenon_H5a0 ]. % 83.75/83.89 apply (zenon_L58_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a0); [ zenon_intro zenon_H4cc | zenon_intro zenon_H92 ]. % 83.75/83.89 apply (zenon_L727_); trivial. % 83.75/83.89 apply (zenon_L33_); trivial. % 83.75/83.89 (* end of lemma zenon_L728_ *) % 83.75/83.89 assert (zenon_L729_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 83.75/83.89 do 0 intro. intros zenon_H5a1 zenon_H4cb zenon_H4cc zenon_Hf7 zenon_Hef zenon_H78 zenon_H59e zenon_H21e zenon_Ha3 zenon_Hf5 zenon_H59b zenon_H597 zenon_H91 zenon_H63. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a1); [ zenon_intro zenon_H21d | zenon_intro zenon_H5a2 ]. % 83.75/83.89 apply (zenon_L569_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a2); [ zenon_intro zenon_Hbb | zenon_intro zenon_H5a3 ]. % 83.75/83.89 apply (zenon_L725_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a3); [ zenon_intro zenon_Hee | zenon_intro zenon_H152 ]. % 83.75/83.89 apply (zenon_L57_); trivial. % 83.75/83.89 apply (zenon_L728_); trivial. % 83.75/83.89 (* end of lemma zenon_L729_ *) % 83.75/83.89 assert (zenon_L730_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_Hce zenon_H597 zenon_H59b zenon_Hf5 zenon_Ha3 zenon_H21e zenon_H59e zenon_Hef zenon_Hf7 zenon_H4cc zenon_H4cb zenon_H5a1 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.75/83.89 apply (zenon_L729_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.75/83.89 apply (zenon_L32_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.75/83.89 apply (zenon_L34_); trivial. % 83.75/83.89 apply (zenon_L36_); trivial. % 83.75/83.89 (* end of lemma zenon_L730_ *) % 83.75/83.89 assert (zenon_L731_ : (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H595 zenon_H94 zenon_H73 zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H59e zenon_H21e zenon_Ha3 zenon_Hf5 zenon_H59b zenon_H597 zenon_Hce zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H21d | zenon_intro zenon_H59f ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H59f); [ zenon_intro zenon_He4 | zenon_intro zenon_H5a0 ]. % 83.75/83.89 apply (zenon_L58_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a0); [ zenon_intro zenon_H4cc | zenon_intro zenon_H92 ]. % 83.75/83.89 apply (zenon_L730_); trivial. % 83.75/83.89 apply (zenon_L34_); trivial. % 83.75/83.89 (* end of lemma zenon_L731_ *) % 83.75/83.89 assert (zenon_L732_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e22))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_Hce zenon_H597 zenon_H59b zenon_H21e zenon_H59e zenon_Hef zenon_Hf7 zenon_H4cb zenon_H5a1 zenon_H73 zenon_H94 zenon_H595 zenon_H11e zenon_Ha3. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.89 apply (zenon_L63_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.89 apply (zenon_L54_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.89 apply (zenon_L731_); trivial. % 83.75/83.89 apply (zenon_L69_); trivial. % 83.75/83.89 (* end of lemma zenon_L732_ *) % 83.75/83.89 assert (zenon_L733_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e21)) -> (~((e20) = (e21))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H11e zenon_H10e zenon_Had. % 83.75/83.89 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ]. % 83.75/83.89 cut (((e21) = (e21)) = ((e20) = (e21))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_Had. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_Hae. % 83.75/83.89 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.89 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 83.75/83.89 congruence. % 83.75/83.89 cut (((op2 (e23) (e21)) = (e20)) = ((e21) = (e20))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_Hb0. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H11e. % 83.75/83.89 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.75/83.89 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H5a4]. % 83.75/83.89 congruence. % 83.75/83.89 exact (zenon_H5a4 zenon_H10e). % 83.75/83.89 apply zenon_H60. apply refl_equal. % 83.75/83.89 apply zenon_Haf. apply refl_equal. % 83.75/83.89 apply zenon_Haf. apply refl_equal. % 83.75/83.89 (* end of lemma zenon_L733_ *) % 83.75/83.89 assert (zenon_L734_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H14f zenon_Hab zenon_Hd1 zenon_H58e zenon_H141 zenon_Hc3 zenon_Ha3 zenon_H595 zenon_H94 zenon_H73 zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H59e zenon_H21e zenon_H59b zenon_H597 zenon_Hce zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_Ha8 zenon_Hb2 zenon_H133 zenon_Hbb zenon_H48b zenon_Had. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.89 apply (zenon_L49_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.89 apply (zenon_L50_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.89 apply (zenon_L722_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.89 apply (zenon_L76_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.89 apply (zenon_L732_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.89 apply (zenon_L591_); trivial. % 83.75/83.89 apply (zenon_L733_); trivial. % 83.75/83.89 (* end of lemma zenon_L734_ *) % 83.75/83.89 assert (zenon_L735_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H102 zenon_H58e zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_Hf8 zenon_Hf7 zenon_Ha8. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.89 apply (zenon_L722_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.89 apply (zenon_L55_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.89 apply (zenon_L56_); trivial. % 83.75/83.89 apply (zenon_L61_); trivial. % 83.75/83.89 (* end of lemma zenon_L735_ *) % 83.75/83.89 assert (zenon_L736_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False). % 83.75/83.89 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_Hff zenon_Hef zenon_He4 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_H124 zenon_Hf7 zenon_H129 zenon_Hd5 zenon_Ha3 zenon_H10c zenon_Had zenon_H134 zenon_H12f zenon_H130. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.89 apply (zenon_L63_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.89 apply (zenon_L54_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.89 apply (zenon_L58_); trivial. % 83.75/83.89 apply (zenon_L528_); trivial. % 83.75/83.89 (* end of lemma zenon_L736_ *) % 83.75/83.89 assert (zenon_L737_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H142 zenon_Hdc zenon_He8 zenon_H58e zenon_H102 zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_Hff zenon_Hef zenon_He4 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_H124 zenon_Hf7 zenon_H129 zenon_Hd5 zenon_Ha3 zenon_H10c zenon_Had zenon_H134 zenon_H12f. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.89 apply (zenon_L53_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.89 apply (zenon_L54_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.89 apply (zenon_L735_); trivial. % 83.75/83.89 apply (zenon_L736_); trivial. % 83.75/83.89 (* end of lemma zenon_L737_ *) % 83.75/83.89 assert (zenon_L738_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.89 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_H12f zenon_H134 zenon_Ha3 zenon_Hd5 zenon_H129 zenon_Hf7 zenon_H124 zenon_H11f zenon_H12c zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_Hef zenon_Hff zenon_Ha8 zenon_Hb2 zenon_H133 zenon_H102 zenon_H58e zenon_He8 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.89 apply (zenon_L76_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.89 apply (zenon_L737_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.89 apply (zenon_L55_); trivial. % 83.75/83.89 apply (zenon_L517_); trivial. % 83.75/83.89 (* end of lemma zenon_L738_ *) % 83.75/83.89 assert (zenon_L739_ : ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e21)) = (e23)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H5d zenon_H5a5 zenon_H7a zenon_H466. % 83.75/83.89 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H572 | zenon_intro zenon_H573 ]. % 83.75/83.89 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H466. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H572. % 83.75/83.89 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H573]. % 83.75/83.89 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H574]. % 83.75/83.89 congruence. % 83.75/83.89 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H574. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H5d. % 83.75/83.89 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 83.75/83.89 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5a6]. % 83.75/83.89 congruence. % 83.75/83.89 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H572 | zenon_intro zenon_H573 ]. % 83.75/83.89 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e23) = (op2 (e22) (e21)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H5a6. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H572. % 83.75/83.89 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H573]. % 83.75/83.89 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5a7]. % 83.75/83.89 congruence. % 83.75/83.89 exact (zenon_H5a7 zenon_H5a5). % 83.75/83.89 apply zenon_H573. apply refl_equal. % 83.75/83.89 apply zenon_H573. apply refl_equal. % 83.75/83.89 apply (zenon_L30_); trivial. % 83.75/83.89 apply zenon_H573. apply refl_equal. % 83.75/83.89 apply zenon_H573. apply refl_equal. % 83.75/83.89 (* end of lemma zenon_L739_ *) % 83.75/83.89 assert (zenon_L740_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> False). % 83.75/83.89 do 0 intro. intros zenon_H4cb zenon_H152 zenon_H4cf. % 83.75/83.89 cut (((op2 (e22) (e20)) = (e23)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H4cb. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H152. % 83.75/83.89 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5a8]. % 83.75/83.89 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 83.75/83.89 congruence. % 83.75/83.89 apply zenon_Hf1. apply refl_equal. % 83.75/83.89 apply zenon_H5a8. apply sym_equal. exact zenon_H4cf. % 83.75/83.89 (* end of lemma zenon_L740_ *) % 83.75/83.89 assert (zenon_L741_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False). % 83.75/83.89 do 0 intro. intros zenon_H5a1 zenon_H4cb zenon_H4cc zenon_H597 zenon_Hf7 zenon_Hef zenon_H78 zenon_H51b zenon_H51c. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a1); [ zenon_intro zenon_H21d | zenon_intro zenon_H5a2 ]. % 83.75/83.89 apply (zenon_L569_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a2); [ zenon_intro zenon_Hbb | zenon_intro zenon_H5a3 ]. % 83.75/83.89 apply (zenon_L725_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a3); [ zenon_intro zenon_Hee | zenon_intro zenon_H152 ]. % 83.75/83.89 apply (zenon_L57_); trivial. % 83.75/83.89 apply (zenon_L607_); trivial. % 83.75/83.89 (* end of lemma zenon_L741_ *) % 83.75/83.89 assert (zenon_L742_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H5a9 zenon_H59b zenon_H466 zenon_H7a zenon_H5d zenon_H5a1 zenon_H4cb zenon_H4cc zenon_H597 zenon_Hf7 zenon_Hef zenon_H78 zenon_H51b. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a9); [ zenon_intro zenon_H152 | zenon_intro zenon_H5aa ]. % 83.75/83.89 apply (zenon_L727_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5aa); [ zenon_intro zenon_H5a5 | zenon_intro zenon_H5ab ]. % 83.75/83.89 apply (zenon_L739_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5ab); [ zenon_intro zenon_H4cf | zenon_intro zenon_H51c ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a1); [ zenon_intro zenon_H21d | zenon_intro zenon_H5a2 ]. % 83.75/83.89 apply (zenon_L569_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a2); [ zenon_intro zenon_Hbb | zenon_intro zenon_H5a3 ]. % 83.75/83.89 apply (zenon_L725_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a3); [ zenon_intro zenon_Hee | zenon_intro zenon_H152 ]. % 83.75/83.89 apply (zenon_L57_); trivial. % 83.75/83.89 apply (zenon_L740_); trivial. % 83.75/83.89 apply (zenon_L741_); trivial. % 83.75/83.89 (* end of lemma zenon_L742_ *) % 83.75/83.89 assert (zenon_L743_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H59e zenon_H595 zenon_H10c zenon_H13e zenon_Had zenon_H142 zenon_Hdc zenon_He8 zenon_H58e zenon_H102 zenon_H133 zenon_Hb2 zenon_Ha8 zenon_Hff zenon_H94 zenon_H12c zenon_H11f zenon_H124 zenon_H129 zenon_Hd5 zenon_Ha3 zenon_H134 zenon_H12f zenon_Hc3 zenon_H141 zenon_H51b zenon_Hef zenon_Hf7 zenon_H597 zenon_H4cb zenon_H5a1 zenon_H466 zenon_H59b zenon_H5a9 zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H21d | zenon_intro zenon_H59f ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H59f); [ zenon_intro zenon_He4 | zenon_intro zenon_H5a0 ]. % 83.75/83.89 apply (zenon_L738_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a0); [ zenon_intro zenon_H4cc | zenon_intro zenon_H92 ]. % 83.75/83.89 apply (zenon_L742_); trivial. % 83.75/83.89 apply (zenon_L34_); trivial. % 83.75/83.89 (* end of lemma zenon_L743_ *) % 83.75/83.89 assert (zenon_L744_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> (~((e21) = (e22))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H102 zenon_H58e zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_H78 zenon_H155 zenon_Ha8. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.89 apply (zenon_L722_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.89 apply (zenon_L55_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.89 apply (zenon_L56_); trivial. % 83.75/83.89 apply (zenon_L86_); trivial. % 83.75/83.89 (* end of lemma zenon_L744_ *) % 83.75/83.89 assert (zenon_L745_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H11e zenon_He4 zenon_H49b. % 83.75/83.89 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ]. % 83.75/83.89 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H49b. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H49d. % 83.75/83.89 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.75/83.89 cut (((op2 (e23) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49f]. % 83.75/83.89 congruence. % 83.75/83.89 cut (((op2 (e23) (e21)) = (e20)) = ((op2 (e23) (e21)) = (op2 (e22) (e21)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H49f. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H11e. % 83.75/83.89 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H468]. % 83.75/83.89 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 83.75/83.89 congruence. % 83.75/83.89 apply zenon_H49e. apply refl_equal. % 83.75/83.89 apply zenon_H468. apply sym_equal. exact zenon_He4. % 83.75/83.89 apply zenon_H49e. apply refl_equal. % 83.75/83.89 apply zenon_H49e. apply refl_equal. % 83.75/83.89 (* end of lemma zenon_L745_ *) % 83.75/83.89 assert (zenon_L746_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H59e zenon_H595 zenon_H49b zenon_H11e zenon_H59b zenon_H152 zenon_H597 zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H21d | zenon_intro zenon_H59f ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H59f); [ zenon_intro zenon_He4 | zenon_intro zenon_H5a0 ]. % 83.75/83.89 apply (zenon_L745_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a0); [ zenon_intro zenon_H4cc | zenon_intro zenon_H92 ]. % 83.75/83.89 apply (zenon_L727_); trivial. % 83.75/83.89 apply (zenon_L34_); trivial. % 83.75/83.89 (* end of lemma zenon_L746_ *) % 83.75/83.89 assert (zenon_L747_ : ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H597 zenon_H152 zenon_H10b zenon_H462. % 83.75/83.89 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H462. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H113. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5ac]. % 83.75/83.89 congruence. % 83.75/83.89 cut (((op2 (op2 (e22) (e20)) (e22)) = (e20)) = ((op2 (e23) (e22)) = (op2 (e23) (e20)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H5ac. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H597. % 83.75/83.89 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5ad]. % 83.75/83.89 cut (((op2 (op2 (e22) (e20)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59d]. % 83.75/83.89 congruence. % 83.75/83.89 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (op2 (e22) (e20)) (e22)) = (op2 (e23) (e22)))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H59d. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H113. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (op2 (e22) (e20)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59a]. % 83.75/83.89 congruence. % 83.75/83.89 apply (zenon_L726_); trivial. % 83.75/83.89 apply zenon_H114. apply refl_equal. % 83.75/83.89 apply zenon_H114. apply refl_equal. % 83.75/83.89 apply zenon_H5ad. apply sym_equal. exact zenon_H10b. % 83.75/83.89 apply zenon_H114. apply refl_equal. % 83.75/83.89 apply zenon_H114. apply refl_equal. % 83.75/83.89 (* end of lemma zenon_L747_ *) % 83.75/83.89 assert (zenon_L748_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H15c zenon_H7a zenon_H5d zenon_Hb2 zenon_Hd6 zenon_Hac zenon_H462 zenon_H597 zenon_H10b zenon_H21e. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.89 apply (zenon_L43_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.89 apply (zenon_L52_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.89 apply (zenon_L747_); trivial. % 83.75/83.89 apply (zenon_L630_); trivial. % 83.75/83.89 (* end of lemma zenon_L748_ *) % 83.75/83.89 assert (zenon_L749_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((e21) = (e22))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Had zenon_Hbb zenon_H48b zenon_H133 zenon_Hb2 zenon_Hd2 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_Hce zenon_H597 zenon_H59b zenon_Ha3 zenon_H21e zenon_H59e zenon_Hef zenon_Hf7 zenon_H4cb zenon_H5a1 zenon_H73 zenon_H94 zenon_H595 zenon_Ha8. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.89 apply (zenon_L76_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.89 apply (zenon_L536_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.89 apply (zenon_L591_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.89 apply (zenon_L63_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.89 apply (zenon_L537_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.89 apply (zenon_L731_); trivial. % 83.75/83.89 apply (zenon_L65_); trivial. % 83.75/83.89 (* end of lemma zenon_L749_ *) % 83.75/83.89 assert (zenon_L750_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((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 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H15b zenon_H21e zenon_H597 zenon_H462 zenon_H48e zenon_Hd1 zenon_H595 zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H59e zenon_H59b zenon_Hb2 zenon_H133 zenon_H48b zenon_Hc3 zenon_H141 zenon_H13e zenon_H58e zenon_H140 zenon_Hd6 zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H15c zenon_H10b zenon_Had. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.89 apply (zenon_L748_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.89 apply (zenon_L43_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.89 apply (zenon_L49_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.89 apply (zenon_L50_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.89 apply (zenon_L722_); trivial. % 83.75/83.89 apply (zenon_L648_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.89 apply (zenon_L749_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.89 apply (zenon_L49_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.89 apply (zenon_L541_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.89 apply (zenon_L722_); trivial. % 83.75/83.89 apply (zenon_L648_); trivial. % 83.75/83.89 apply (zenon_L32_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.89 apply (zenon_L747_); trivial. % 83.75/83.89 apply (zenon_L630_); trivial. % 83.75/83.89 apply (zenon_L64_); trivial. % 83.75/83.89 (* end of lemma zenon_L750_ *) % 83.75/83.89 assert (zenon_L751_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (op2 (e20) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H45f zenon_H45b zenon_Hbc zenon_H14f zenon_Hab zenon_Hd1 zenon_H58e zenon_H141 zenon_Hc3 zenon_Ha3 zenon_H595 zenon_H94 zenon_H73 zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H59e zenon_H21e zenon_H59b zenon_H597 zenon_Hce zenon_H8e zenon_H91 zenon_H82 zenon_H5d zenon_H8a zenon_Ha8 zenon_Hb2 zenon_H133 zenon_H48b zenon_Had zenon_H15b zenon_H7a zenon_H78 zenon_H7c. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.89 apply (zenon_L76_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.89 apply (zenon_L42_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.89 apply (zenon_L734_); trivial. % 83.75/83.89 apply (zenon_L510_); trivial. % 83.75/83.89 apply (zenon_L28_); trivial. % 83.75/83.89 (* end of lemma zenon_L751_ *) % 83.75/83.89 assert (zenon_L752_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e22) (op2 (e21) (e23))) = (e22))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.89 do 0 intro. intros zenon_H140 zenon_Hab zenon_H497 zenon_H58e zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.89 apply (zenon_L42_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.89 apply (zenon_L53_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.89 apply (zenon_L54_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.89 apply (zenon_L516_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.89 apply (zenon_L722_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.89 apply (zenon_L55_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.89 apply (zenon_L56_); trivial. % 83.75/83.89 apply (zenon_L547_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.89 apply (zenon_L71_); trivial. % 83.75/83.89 apply (zenon_L518_); trivial. % 83.75/83.89 (* end of lemma zenon_L752_ *) % 83.75/83.89 assert (zenon_L753_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> (~((e21) = (e22))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H102 zenon_H58e zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H4c7 zenon_Ha8. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.89 apply (zenon_L722_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.89 apply (zenon_L55_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.89 apply (zenon_L56_); trivial. % 83.75/83.89 apply (zenon_L567_); trivial. % 83.75/83.89 (* end of lemma zenon_L753_ *) % 83.75/83.89 assert (zenon_L754_ : ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H4de zenon_H121 zenon_H152 zenon_H58e. % 83.75/83.89 elim (classic ((e20) = (e20))); [ zenon_intro zenon_H5ae | zenon_intro zenon_H60 ]. % 83.75/83.89 cut (((e20) = (e20)) = ((op2 (e22) (op2 (e22) (e20))) = (e20))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H58e. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H5ae. % 83.75/83.89 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.75/83.89 cut (((e20) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H5af]. % 83.75/83.89 congruence. % 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e22) (e23))) = ((e20) = (op2 (e22) (op2 (e22) (e20))))). % 83.75/83.89 intro zenon_D_pnotp. % 83.75/83.89 apply zenon_H5af. % 83.75/83.89 rewrite <- zenon_D_pnotp. % 83.75/83.89 exact zenon_H4de. % 83.75/83.89 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H5b0]. % 83.75/83.89 cut (((op2 (e23) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H5b1]. % 83.75/83.89 congruence. % 83.75/83.89 exact (zenon_H5b1 zenon_H121). % 83.75/83.89 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H534]. % 83.75/83.89 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.89 congruence. % 83.75/83.89 apply zenon_Ha1. apply refl_equal. % 83.75/83.89 apply zenon_H534. apply sym_equal. exact zenon_H152. % 83.75/83.89 apply zenon_H60. apply refl_equal. % 83.75/83.89 apply zenon_H60. apply refl_equal. % 83.75/83.89 (* end of lemma zenon_L754_ *) % 83.75/83.89 assert (zenon_L755_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H134 zenon_H462 zenon_H91 zenon_H597 zenon_H59b zenon_H49b zenon_H595 zenon_H59e zenon_H58e zenon_H152 zenon_H4de zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.75/83.89 apply (zenon_L747_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.75/83.89 apply (zenon_L746_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.75/83.89 apply (zenon_L754_); trivial. % 83.75/83.89 apply (zenon_L36_); trivial. % 83.75/83.89 (* end of lemma zenon_L755_ *) % 83.75/83.89 assert (zenon_L756_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (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 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e23))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H15b zenon_H48b zenon_Hce zenon_H21e zenon_H73 zenon_Hd1 zenon_Hab zenon_H14f zenon_H15c zenon_H5a9 zenon_H466 zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H51b zenon_H141 zenon_Hc3 zenon_H12f zenon_Ha3 zenon_H129 zenon_H124 zenon_H11f zenon_H12c zenon_Hff zenon_Ha8 zenon_Hb2 zenon_H133 zenon_H102 zenon_He8 zenon_Hdc zenon_H142 zenon_Had zenon_H13e zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H4de zenon_H58e zenon_H59e zenon_H595 zenon_H49b zenon_H59b zenon_H597 zenon_H91 zenon_H462 zenon_H134 zenon_Hd6. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.89 apply (zenon_L42_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.89 apply (zenon_L734_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.89 apply (zenon_L43_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.89 apply (zenon_L743_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.89 apply (zenon_L755_); trivial. % 83.75/83.89 apply (zenon_L88_); trivial. % 83.75/83.89 (* end of lemma zenon_L756_ *) % 83.75/83.89 assert (zenon_L757_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H10f zenon_H91 zenon_H73 zenon_H462 zenon_H4e6 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.75/83.89 apply (zenon_L64_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.75/83.89 apply (zenon_L69_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.75/83.89 apply (zenon_L577_); trivial. % 83.75/83.89 apply (zenon_L36_); trivial. % 83.75/83.89 (* end of lemma zenon_L757_ *) % 83.75/83.89 assert (zenon_L758_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Hd2 zenon_H597 zenon_H59b zenon_H21e zenon_H59e zenon_Hef zenon_Hf7 zenon_H4cb zenon_H5a1 zenon_H595 zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H91 zenon_H73 zenon_H462 zenon_H4e6 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.89 apply (zenon_L63_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.89 apply (zenon_L537_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.89 apply (zenon_L731_); trivial. % 83.75/83.89 apply (zenon_L757_); trivial. % 83.75/83.89 (* end of lemma zenon_L758_ *) % 83.75/83.89 assert (zenon_L759_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (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) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H14f zenon_Ha3 zenon_H10c zenon_Had zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H21e zenon_Hb2 zenon_H133 zenon_H94 zenon_Hce zenon_H4e6 zenon_H462 zenon_H73 zenon_H134 zenon_H59e zenon_H595 zenon_H49b zenon_H59b zenon_H152 zenon_H597 zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.89 apply (zenon_L49_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.89 apply (zenon_L758_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.75/83.89 apply (zenon_L747_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.75/83.89 apply (zenon_L745_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.75/83.89 apply (zenon_L577_); trivial. % 83.75/83.89 apply (zenon_L36_); trivial. % 83.75/83.89 apply (zenon_L746_); trivial. % 83.75/83.89 (* end of lemma zenon_L759_ *) % 83.75/83.89 assert (zenon_L760_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (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 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e20) = (e21))) -> (~((e20) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H15b zenon_H48b zenon_Hd1 zenon_Hab zenon_H15c zenon_H5a9 zenon_H466 zenon_H51b zenon_H141 zenon_Hc3 zenon_H12f zenon_H129 zenon_H124 zenon_H11f zenon_H12c zenon_Hff zenon_Ha8 zenon_H102 zenon_H58e zenon_He8 zenon_Hdc zenon_H142 zenon_H13e zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H597 zenon_H59b zenon_H49b zenon_H595 zenon_H59e zenon_H134 zenon_H73 zenon_H462 zenon_H4e6 zenon_Hce zenon_H94 zenon_H133 zenon_Hb2 zenon_H21e zenon_Hef zenon_Hf7 zenon_H4cb zenon_H5a1 zenon_Had zenon_Ha3 zenon_H14f zenon_Hd6. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.89 apply (zenon_L42_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.89 apply (zenon_L734_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.89 apply (zenon_L43_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.89 apply (zenon_L743_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.89 apply (zenon_L759_); trivial. % 83.75/83.89 apply (zenon_L88_); trivial. % 83.75/83.89 (* end of lemma zenon_L760_ *) % 83.75/83.89 assert (zenon_L761_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (op2 (e23) (e21))) = (e22))) -> (~((e21) = (e22))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H102 zenon_H48b zenon_H133 zenon_Hb2 zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_Hce zenon_H597 zenon_H59b zenon_H21e zenon_H59e zenon_Hf7 zenon_H4cb zenon_H5a1 zenon_H73 zenon_H94 zenon_H595 zenon_Hc3 zenon_H141 zenon_H58e zenon_Hd1 zenon_Hab zenon_H14f zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H10f zenon_H4eb zenon_Ha8. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.89 apply (zenon_L734_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.89 apply (zenon_L55_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.89 apply (zenon_L56_); trivial. % 83.75/83.89 apply (zenon_L583_); trivial. % 83.75/83.89 (* end of lemma zenon_L761_ *) % 83.75/83.89 assert (zenon_L762_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H10f zenon_H91 zenon_H73 zenon_H4f7 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.75/83.89 apply (zenon_L64_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.75/83.89 apply (zenon_L69_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.75/83.89 apply (zenon_L589_); trivial. % 83.75/83.89 apply (zenon_L36_); trivial. % 83.75/83.89 (* end of lemma zenon_L762_ *) % 83.75/83.89 assert (zenon_L763_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_He4 zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H91 zenon_H73 zenon_H4f7 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.89 apply (zenon_L63_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.89 apply (zenon_L54_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.89 apply (zenon_L58_); trivial. % 83.75/83.89 apply (zenon_L762_); trivial. % 83.75/83.89 (* end of lemma zenon_L763_ *) % 83.75/83.89 assert (zenon_L764_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.89 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H4f7 zenon_H73 zenon_H91 zenon_Ha3 zenon_H134 zenon_Ha8 zenon_Hb2 zenon_H133 zenon_Had zenon_He4 zenon_H13e zenon_H10c. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.89 apply (zenon_L76_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.89 apply (zenon_L763_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.89 apply (zenon_L55_); trivial. % 83.75/83.89 apply (zenon_L517_); trivial. % 83.75/83.89 (* end of lemma zenon_L764_ *) % 83.75/83.89 assert (zenon_L765_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (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 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H15b zenon_H48b zenon_H21e zenon_H58e zenon_Hd1 zenon_Hab zenon_H14f zenon_H59e zenon_H595 zenon_H13e zenon_Had zenon_H133 zenon_Hb2 zenon_Ha8 zenon_H134 zenon_Ha3 zenon_H73 zenon_H4f7 zenon_Hce zenon_H94 zenon_Hc3 zenon_H141 zenon_H51b zenon_Hef zenon_Hf7 zenon_H597 zenon_H4cb zenon_H5a1 zenon_H466 zenon_H59b zenon_H5a9 zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.89 apply (zenon_L42_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.89 apply (zenon_L734_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H21d | zenon_intro zenon_H59f ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H59f); [ zenon_intro zenon_He4 | zenon_intro zenon_H5a0 ]. % 83.75/83.89 apply (zenon_L764_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a0); [ zenon_intro zenon_H4cc | zenon_intro zenon_H92 ]. % 83.75/83.89 apply (zenon_L742_); trivial. % 83.75/83.89 apply (zenon_L34_); trivial. % 83.75/83.89 (* end of lemma zenon_L765_ *) % 83.75/83.89 assert (zenon_L766_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 83.75/83.89 do 0 intro. intros zenon_H51e zenon_H8a zenon_H7a zenon_H5d zenon_Hd6 zenon_H13c zenon_H51b zenon_H78 zenon_Hef zenon_Hf7 zenon_H597 zenon_H4cc zenon_H4cb zenon_H5a1 zenon_H501 zenon_H63. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H51e); [ zenon_intro zenon_H89 | zenon_intro zenon_H51f ]. % 83.75/83.89 apply (zenon_L31_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H51f); [ zenon_intro zenon_H47e | zenon_intro zenon_H520 ]. % 83.75/83.89 apply (zenon_L606_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H51c | zenon_intro zenon_H4ff ]. % 83.75/83.89 apply (zenon_L741_); trivial. % 83.75/83.89 apply (zenon_L595_); trivial. % 83.75/83.89 (* end of lemma zenon_L766_ *) % 83.75/83.89 assert (zenon_L767_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_Hce zenon_H501 zenon_H5a1 zenon_H4cb zenon_H4cc zenon_H597 zenon_Hf7 zenon_Hef zenon_H51b zenon_H13c zenon_Hd6 zenon_H51e zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.75/83.89 apply (zenon_L766_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.75/83.89 apply (zenon_L32_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.75/83.89 apply (zenon_L34_); trivial. % 83.75/83.89 apply (zenon_L36_); trivial. % 83.75/83.89 (* end of lemma zenon_L767_ *) % 83.75/83.89 assert (zenon_L768_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H59e zenon_H595 zenon_H49b zenon_H11e zenon_H94 zenon_H73 zenon_H51e zenon_Hd6 zenon_H13c zenon_H51b zenon_Hef zenon_Hf7 zenon_H597 zenon_H4cb zenon_H5a1 zenon_H501 zenon_Hce zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H21d | zenon_intro zenon_H59f ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H59f); [ zenon_intro zenon_He4 | zenon_intro zenon_H5a0 ]. % 83.75/83.89 apply (zenon_L745_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a0); [ zenon_intro zenon_H4cc | zenon_intro zenon_H92 ]. % 83.75/83.89 apply (zenon_L767_); trivial. % 83.75/83.89 apply (zenon_L34_); trivial. % 83.75/83.89 (* end of lemma zenon_L768_ *) % 83.75/83.89 assert (zenon_L769_ : ((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\(((op2 (op2 (e22) (e20)) (e22)) = (e20))/\(~((op2 (op2 (e22) (e20)) (e20)) = (e22))))) -> ((((op2 (e20) (e20)) = (op2 (e20) (e20)))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e20))) = (e23)))))))\/((((op2 (e21) (e20)) = (op2 (e20) (e21)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e21))) = (e23)))))))\/((((op2 (e22) (e20)) = (op2 (e20) (e22)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e22))) = (e23)))))))\/((((op2 (e23) (e20)) = (op2 (e20) (e23)))/\((~((op2 (e20) (op2 (e20) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e23))) = (e23)))))))\/((((op2 (e20) (e21)) = (op2 (e21) (e20)))/\((~((op2 (e20) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e20))) = (e23)))))))\/((((op2 (e21) (e21)) = (op2 (e21) (e21)))/\((~((op2 (e20) (op2 (e21) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e21))) = (e23)))))))\/((((op2 (e22) (e21)) = (op2 (e21) (e22)))/\((~((op2 (e20) (op2 (e21) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e22))) = (e23)))))))\/((((op2 (e23) (e21)) = (op2 (e21) (e23)))/\((~((op2 (e20) (op2 (e21) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e23))) = (e23)))))))\/((((op2 (e20) (e22)) = (op2 (e22) (e20)))/\((~((op2 (e20) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e20))) = (e23)))))))\/((((op2 (e21) (e22)) = (op2 (e22) (e21)))/\((~((op2 (e20) (op2 (e22) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e21))) = (e23)))))))\/((((op2 (e22) (e22)) = (op2 (e22) (e22)))/\((~((op2 (e20) (op2 (e22) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e22))) = (e23)))))))\/((((op2 (e23) (e22)) = (op2 (e22) (e23)))/\((~((op2 (e20) (op2 (e22) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e23))) = (e23)))))))\/((((op2 (e20) (e23)) = (op2 (e23) (e20)))/\((~((op2 (e20) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e20))) = (e23)))))))\/((((op2 (e21) (e23)) = (op2 (e23) (e21)))/\((~((op2 (e20) (op2 (e23) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e21))) = (e23)))))))\/((((op2 (e22) (e23)) = (op2 (e23) (e22)))/\((~((op2 (e20) (op2 (e23) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e22))) = (e23)))))))\/(((op2 (e23) (e23)) = (op2 (e23) (e23)))/\((~((op2 (e20) (op2 (e23) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))))))))))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((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 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e21))) -> False). % 83.75/83.89 do 0 intro. intros zenon_H5b2 zenon_H5b3 zenon_Hc9 zenon_H45f zenon_Hbc zenon_H482 zenon_H472 zenon_H466 zenon_H5a9 zenon_H48d zenon_H51e zenon_H51b zenon_Hff zenon_He8 zenon_H102 zenon_H47f zenon_H49b zenon_H12c zenon_H11f zenon_H129 zenon_H134 zenon_H12f zenon_H554 zenon_H15b zenon_H21e zenon_H462 zenon_H48e zenon_Hd1 zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H59e zenon_H59b zenon_Hb2 zenon_H133 zenon_H48b zenon_Hc3 zenon_H141 zenon_H13e zenon_H140 zenon_Hd6 zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H15c zenon_Had. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H5b2). zenon_intro zenon_H58e. zenon_intro zenon_H5b4. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H5b4). zenon_intro zenon_H597. zenon_intro zenon_H595. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.89 apply (zenon_L40_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.89 apply (zenon_L42_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.89 apply (zenon_L734_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.89 apply (zenon_L43_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.89 apply (zenon_L743_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.89 apply (zenon_L49_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.89 apply (zenon_L50_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.89 apply (zenon_L744_); trivial. % 83.75/83.89 apply (zenon_L746_); trivial. % 83.75/83.89 apply (zenon_L88_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_L750_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.75/83.89 apply (zenon_L509_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.89 apply (zenon_L40_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.89 apply (zenon_L751_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_L750_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.89 apply (zenon_L40_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.89 apply (zenon_L42_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.89 apply (zenon_L734_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.89 apply (zenon_L43_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.89 apply (zenon_L743_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.89 apply (zenon_L49_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.89 apply (zenon_L50_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.89 apply (zenon_L519_); trivial. % 83.75/83.89 apply (zenon_L746_); trivial. % 83.75/83.89 apply (zenon_L88_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_L750_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.89 apply (zenon_L40_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.89 apply (zenon_L42_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.89 apply (zenon_L734_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.89 apply (zenon_L43_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.89 apply (zenon_L743_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.89 apply (zenon_L49_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.89 apply (zenon_L50_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.89 apply (zenon_L521_); trivial. % 83.75/83.89 apply (zenon_L746_); trivial. % 83.75/83.89 apply (zenon_L88_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_L750_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.89 apply (zenon_L40_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.89 apply (zenon_L42_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.89 apply (zenon_L734_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.89 apply (zenon_L43_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.89 apply (zenon_L743_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.89 apply (zenon_L49_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.89 apply (zenon_L50_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.89 apply (zenon_L525_); trivial. % 83.75/83.89 apply (zenon_L746_); trivial. % 83.75/83.89 apply (zenon_L88_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_L750_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H485. zenon_intro zenon_H48f. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H47a. zenon_intro zenon_H490. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.89 apply (zenon_L40_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.89 apply (zenon_L42_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.89 apply (zenon_L734_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.89 apply (zenon_L43_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.89 apply (zenon_L743_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.89 apply (zenon_L49_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.89 apply (zenon_L50_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.89 apply (zenon_L535_); trivial. % 83.75/83.89 apply (zenon_L746_); trivial. % 83.75/83.89 apply (zenon_L88_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_L750_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49c. zenon_intro zenon_H4a4. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H4a6. zenon_intro zenon_H4a5. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H4a8. zenon_intro zenon_H4a7. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H497. zenon_intro zenon_H4a9. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.89 apply (zenon_L40_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.89 apply (zenon_L42_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.89 apply (zenon_L734_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.89 apply (zenon_L43_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.89 apply (zenon_L743_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.89 apply (zenon_L49_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.89 apply (zenon_L50_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.89 apply (zenon_L752_); trivial. % 83.75/83.89 apply (zenon_L746_); trivial. % 83.75/83.89 apply (zenon_L88_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_L750_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H4af. zenon_intro zenon_H4b1. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H4ab. zenon_intro zenon_H4b2. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.89 apply (zenon_L40_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.89 apply (zenon_L41_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.89 apply (zenon_L42_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.89 apply (zenon_L734_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.89 apply (zenon_L43_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.89 apply (zenon_L743_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.89 apply (zenon_L553_); trivial. % 83.75/83.89 apply (zenon_L88_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.89 apply (zenon_L724_); trivial. % 83.75/83.89 apply (zenon_L750_); trivial. % 83.75/83.89 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H4b9. zenon_intro zenon_H4c0. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H4c0). zenon_intro zenon_H4c2. zenon_intro zenon_H4c1. % 83.75/83.89 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H4b5. zenon_intro zenon_H4c3. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.90 apply (zenon_L40_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.90 apply (zenon_L41_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.90 apply (zenon_L42_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.90 apply (zenon_L734_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.90 apply (zenon_L43_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.90 apply (zenon_L743_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L50_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_L561_); trivial. % 83.75/83.90 apply (zenon_L746_); trivial. % 83.75/83.90 apply (zenon_L88_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.90 apply (zenon_L724_); trivial. % 83.75/83.90 apply (zenon_L750_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_He9. zenon_intro zenon_H4d9. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H4d1. zenon_intro zenon_H4da. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H4dc. zenon_intro zenon_H4db. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H4db). zenon_intro zenon_H4c7. zenon_intro zenon_H4dd. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.90 apply (zenon_L40_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.90 apply (zenon_L41_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.90 apply (zenon_L42_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.90 apply (zenon_L734_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.90 apply (zenon_L43_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.90 apply (zenon_L743_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L50_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_L753_); trivial. % 83.75/83.90 apply (zenon_L746_); trivial. % 83.75/83.90 apply (zenon_L88_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.90 apply (zenon_L724_); trivial. % 83.75/83.90 apply (zenon_L750_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H4e4). zenon_intro zenon_H4de. zenon_intro zenon_H4e5. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.90 apply (zenon_L40_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.90 apply (zenon_L756_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.90 apply (zenon_L724_); trivial. % 83.75/83.90 apply (zenon_L750_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4e6. zenon_intro zenon_H4e8. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.90 apply (zenon_L40_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.90 apply (zenon_L760_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.90 apply (zenon_L724_); trivial. % 83.75/83.90 apply (zenon_L750_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H4e9. zenon_intro zenon_H4f1. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H4f3. zenon_intro zenon_H4f2. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H4f5. zenon_intro zenon_H4f4. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H4eb. zenon_intro zenon_H4f6. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.90 apply (zenon_L40_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.90 apply (zenon_L41_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.90 apply (zenon_L42_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.90 apply (zenon_L734_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.90 apply (zenon_L43_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.90 apply (zenon_L743_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L50_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.90 apply (zenon_L42_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.90 apply (zenon_L63_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.90 apply (zenon_L54_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.90 apply (zenon_L58_); trivial. % 83.75/83.90 apply (zenon_L761_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.90 apply (zenon_L71_); trivial. % 83.75/83.90 apply (zenon_L518_); trivial. % 83.75/83.90 apply (zenon_L746_); trivial. % 83.75/83.90 apply (zenon_L88_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.90 apply (zenon_L724_); trivial. % 83.75/83.90 apply (zenon_L750_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H4f7. zenon_intro zenon_H4fa. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.90 apply (zenon_L40_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.90 apply (zenon_L765_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.90 apply (zenon_L724_); trivial. % 83.75/83.90 apply (zenon_L750_); trivial. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H523. zenon_intro zenon_H522. % 83.75/83.90 apply (zenon_and_s _ _ zenon_H522). zenon_intro zenon_H501. zenon_intro zenon_H524. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.90 apply (zenon_L40_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.90 apply (zenon_L41_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.90 apply (zenon_L42_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L50_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_L722_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.90 apply (zenon_L652_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.90 apply (zenon_L732_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.90 apply (zenon_L71_); trivial. % 83.75/83.90 apply (zenon_L768_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.90 apply (zenon_L43_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L50_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_L738_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.90 apply (zenon_L52_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.90 apply (zenon_L732_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.90 apply (zenon_L71_); trivial. % 83.75/83.90 apply (zenon_L768_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L610_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_L613_); trivial. % 83.75/83.90 apply (zenon_L746_); trivial. % 83.75/83.90 apply (zenon_L88_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.90 apply (zenon_L724_); trivial. % 83.75/83.90 apply (zenon_L750_); trivial. % 83.75/83.90 (* end of lemma zenon_L769_ *) % 83.75/83.90 assert (zenon_L770_ : ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H5d4 zenon_He5 zenon_H45a zenon_H124. % 83.75/83.90 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ]. % 83.75/83.90 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_H124. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_H125. % 83.75/83.90 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 83.75/83.90 cut (((op2 (e21) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 83.75/83.90 congruence. % 83.75/83.90 cut (((op2 (op2 (e22) (e21)) (e22)) = (e21)) = ((op2 (e21) (e22)) = (op2 (e20) (e22)))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_H126. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_H5d4. % 83.75/83.90 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H526]. % 83.75/83.90 cut (((op2 (op2 (e22) (e21)) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5d5]. % 83.75/83.90 congruence. % 83.75/83.90 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ]. % 83.75/83.90 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (op2 (e22) (e21)) (e22)) = (op2 (e21) (e22)))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_H5d5. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_H125. % 83.75/83.90 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 83.75/83.90 cut (((op2 (e21) (e22)) = (op2 (op2 (e22) (e21)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5d6]. % 83.75/83.90 congruence. % 83.75/83.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.90 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a0]. % 83.75/83.90 congruence. % 83.75/83.90 apply zenon_H4a0. apply sym_equal. exact zenon_He5. % 83.75/83.90 apply zenon_Ha1. apply refl_equal. % 83.75/83.90 apply zenon_Hfb. apply refl_equal. % 83.75/83.90 apply zenon_Hfb. apply refl_equal. % 83.75/83.90 apply zenon_H526. apply sym_equal. exact zenon_H45a. % 83.75/83.90 apply zenon_Hfb. apply refl_equal. % 83.75/83.90 apply zenon_Hfb. apply refl_equal. % 83.75/83.90 (* end of lemma zenon_L770_ *) % 83.75/83.90 assert (zenon_L771_ : ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H5d4 zenon_Hf5 zenon_H45a zenon_He8. % 83.75/83.90 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hea ]. % 83.75/83.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_He8. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_He9. % 83.75/83.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 83.75/83.90 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 83.75/83.90 congruence. % 83.75/83.90 cut (((op2 (op2 (e22) (e21)) (e22)) = (e21)) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_Heb. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_H5d4. % 83.75/83.90 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H526]. % 83.75/83.90 cut (((op2 (op2 (e22) (e21)) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5d7]. % 83.75/83.90 congruence. % 83.75/83.90 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hea ]. % 83.75/83.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e22) (e21)) (e22)) = (op2 (e22) (e22)))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_H5d7. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_He9. % 83.75/83.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 83.75/83.90 cut (((op2 (e22) (e22)) = (op2 (op2 (e22) (e21)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5d8]. % 83.75/83.90 congruence. % 83.75/83.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.90 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5d9]. % 83.75/83.90 congruence. % 83.75/83.90 apply zenon_H5d9. apply sym_equal. exact zenon_Hf5. % 83.75/83.90 apply zenon_Ha1. apply refl_equal. % 83.75/83.90 apply zenon_Hea. apply refl_equal. % 83.75/83.90 apply zenon_Hea. apply refl_equal. % 83.75/83.90 apply zenon_H526. apply sym_equal. exact zenon_H45a. % 83.75/83.90 apply zenon_Hea. apply refl_equal. % 83.75/83.90 apply zenon_Hea. apply refl_equal. % 83.75/83.90 (* end of lemma zenon_L771_ *) % 83.75/83.90 assert (zenon_L772_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((e21) = (e22))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H141 zenon_H7a zenon_Hc3 zenon_Had zenon_H124 zenon_H133 zenon_Hb2 zenon_H78 zenon_Ha3 zenon_Hd2 zenon_He8 zenon_H45a zenon_H5d4 zenon_Ha8. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.90 apply (zenon_L76_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.90 apply (zenon_L536_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.90 apply (zenon_L770_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.90 apply (zenon_L63_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.90 apply (zenon_L537_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.90 apply (zenon_L771_); trivial. % 83.75/83.90 apply (zenon_L65_); trivial. % 83.75/83.90 (* end of lemma zenon_L772_ *) % 83.75/83.90 assert (zenon_L773_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e22) = (e23))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Hd2 zenon_Ha3 zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H47f. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.90 apply (zenon_L53_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.90 apply (zenon_L537_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.90 apply (zenon_L539_); trivial. % 83.75/83.90 apply (zenon_L626_); trivial. % 83.75/83.90 (* end of lemma zenon_L773_ *) % 83.75/83.90 assert (zenon_L774_ : (~((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> False). % 83.75/83.90 do 0 intro. intros zenon_H5da zenon_He4. % 83.75/83.90 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4b4]. % 83.75/83.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.90 congruence. % 83.75/83.90 apply zenon_Ha1. apply refl_equal. % 83.75/83.90 exact (zenon_H4b4 zenon_He4). % 83.75/83.90 (* end of lemma zenon_L774_ *) % 83.75/83.90 assert (zenon_L775_ : (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e21)) = (e20)) -> False). % 83.75/83.90 do 0 intro. intros zenon_H5db zenon_Hbb zenon_He4. % 83.75/83.90 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (e22) (op2 (e22) (e21))) = (e21))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_H5db. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_Hbb. % 83.75/83.90 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.90 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5dc]. % 83.75/83.90 congruence. % 83.75/83.90 elim (classic ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (op2 (e22) (e21))))); [ zenon_intro zenon_H5dd | zenon_intro zenon_H5de ]. % 83.75/83.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (op2 (e22) (e21)))) = ((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e21))))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_H5dc. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_H5dd. % 83.75/83.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5de]. % 83.75/83.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5da]. % 83.75/83.90 congruence. % 83.75/83.90 apply (zenon_L774_); trivial. % 83.75/83.90 apply zenon_H5de. apply refl_equal. % 83.75/83.90 apply zenon_H5de. apply refl_equal. % 83.75/83.90 apply zenon_Haf. apply refl_equal. % 83.75/83.90 (* end of lemma zenon_L775_ *) % 83.75/83.90 assert (zenon_L776_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> (~((e21) = (e22))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H102 zenon_H5db zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_H78 zenon_H155 zenon_Ha8. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.90 apply (zenon_L775_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.90 apply (zenon_L55_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.90 apply (zenon_L56_); trivial. % 83.75/83.90 apply (zenon_L86_); trivial. % 83.75/83.90 (* end of lemma zenon_L776_ *) % 83.75/83.90 assert (zenon_L777_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e22))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_H78 zenon_Ha8 zenon_He1 zenon_He8 zenon_H45a zenon_H5d4 zenon_H11e zenon_Ha3. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.90 apply (zenon_L63_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.90 apply (zenon_L54_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.90 apply (zenon_L771_); trivial. % 83.75/83.90 apply (zenon_L69_); trivial. % 83.75/83.90 (* end of lemma zenon_L777_ *) % 83.75/83.90 assert (zenon_L778_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e21))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_H11e zenon_Had. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.90 apply (zenon_L76_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.90 apply (zenon_L777_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.90 apply (zenon_L770_); trivial. % 83.75/83.90 apply (zenon_L733_); trivial. % 83.75/83.90 (* end of lemma zenon_L778_ *) % 83.75/83.90 assert (zenon_L779_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (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 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H48e zenon_Had zenon_H5d4 zenon_H45a zenon_H124 zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He8 zenon_Ha3 zenon_Hc3 zenon_H141 zenon_H102 zenon_H5db zenon_Hff zenon_Hef zenon_H155 zenon_H142 zenon_Hdc zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H21e zenon_H47f zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.90 apply (zenon_L42_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.90 apply (zenon_L772_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L773_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_L776_); trivial. % 83.75/83.90 apply (zenon_L778_); trivial. % 83.75/83.90 apply (zenon_L32_); trivial. % 83.75/83.90 (* end of lemma zenon_L779_ *) % 83.75/83.90 assert (zenon_L780_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((e20) = (e21))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hab zenon_Hd1 zenon_Hbb zenon_H5db zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_Had. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L50_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_L775_); trivial. % 83.75/83.90 apply (zenon_L778_); trivial. % 83.75/83.90 (* end of lemma zenon_L780_ *) % 83.75/83.90 assert (zenon_L781_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.90 do 0 intro. intros zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_H11e zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_H13e zenon_H10c. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.90 apply (zenon_L76_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.90 apply (zenon_L777_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.90 apply (zenon_L770_); trivial. % 83.75/83.90 apply (zenon_L517_); trivial. % 83.75/83.90 (* end of lemma zenon_L781_ *) % 83.75/83.90 assert (zenon_L782_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.90 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H155 zenon_Hef zenon_Hff zenon_Had zenon_H5db zenon_H102 zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_H13e zenon_H10c. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L772_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_L776_); trivial. % 83.75/83.90 apply (zenon_L781_); trivial. % 83.75/83.90 (* end of lemma zenon_L782_ *) % 83.75/83.90 assert (zenon_L783_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H45f zenon_Had zenon_H5d4 zenon_H124 zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He8 zenon_Ha3 zenon_Hc3 zenon_H141 zenon_H48b zenon_H21d zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H82 zenon_H5d zenon_H8a zenon_H14f zenon_H7a zenon_H78 zenon_H7c. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.90 apply (zenon_L41_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.90 apply (zenon_L76_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L772_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_L542_); trivial. % 83.75/83.90 apply (zenon_L778_); trivial. % 83.75/83.90 apply (zenon_L28_); trivial. % 83.75/83.90 (* end of lemma zenon_L783_ *) % 83.75/83.90 assert (zenon_L784_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_He1 zenon_Ha3 zenon_H120 zenon_H13c zenon_Ha8. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.90 apply (zenon_L53_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.90 apply (zenon_L54_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.90 apply (zenon_L539_); trivial. % 83.75/83.90 apply (zenon_L77_); trivial. % 83.75/83.90 (* end of lemma zenon_L784_ *) % 83.75/83.90 assert (zenon_L785_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (e22)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e21))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha8 zenon_H13c zenon_H120 zenon_Ha3 zenon_H78 zenon_Hdc zenon_H142 zenon_H124 zenon_H45a zenon_H5d4 zenon_H11e zenon_Had. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.90 apply (zenon_L76_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.90 apply (zenon_L784_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.90 apply (zenon_L770_); trivial. % 83.75/83.90 apply (zenon_L733_); trivial. % 83.75/83.90 (* end of lemma zenon_L785_ *) % 83.75/83.90 assert (zenon_L786_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e21))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_He8 zenon_Hb2 zenon_H133 zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha8 zenon_H120 zenon_Ha3 zenon_H78 zenon_Hdc zenon_H142 zenon_H124 zenon_H45a zenon_H5d4 zenon_H11e zenon_Had. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.90 apply (zenon_L52_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.90 apply (zenon_L777_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.90 apply (zenon_L71_); trivial. % 83.75/83.90 apply (zenon_L785_); trivial. % 83.75/83.90 (* end of lemma zenon_L786_ *) % 83.75/83.90 assert (zenon_L787_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H15c zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_H5db zenon_H140 zenon_He8 zenon_Hb2 zenon_H133 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H45a zenon_H5d4 zenon_Had zenon_Hd1 zenon_H48e zenon_Hd6 zenon_Hbb zenon_H10b zenon_H21e. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.90 apply (zenon_L43_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.90 apply (zenon_L780_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.90 apply (zenon_L772_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L541_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_L775_); trivial. % 83.75/83.90 apply (zenon_L786_); trivial. % 83.75/83.90 apply (zenon_L32_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.90 apply (zenon_L83_); trivial. % 83.75/83.90 apply (zenon_L630_); trivial. % 83.75/83.90 (* end of lemma zenon_L787_ *) % 83.75/83.90 assert (zenon_L788_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> ((op2 (e22) (e20)) = (op2 (e20) (e22))) -> (((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 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H45f zenon_H10b zenon_H13e zenon_H5db zenon_H45b zenon_H141 zenon_Hc3 zenon_Had zenon_H124 zenon_H133 zenon_Hb2 zenon_Ha3 zenon_He8 zenon_H5d4 zenon_Ha8 zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H82 zenon_H5d zenon_H8a zenon_H14f zenon_H7a zenon_H78 zenon_H7c. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.90 apply (zenon_L41_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.90 apply (zenon_L76_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L772_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 cut (((op2 (e22) (e20)) = (op2 (e20) (e22))) = ((op2 (e22) (op2 (e22) (e21))) = (e21))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_H5db. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_H45b. % 83.75/83.90 cut (((op2 (e20) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H5df]. % 83.75/83.90 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5dc]. % 83.75/83.90 congruence. % 83.75/83.90 elim (classic ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (op2 (e22) (e21))))); [ zenon_intro zenon_H5dd | zenon_intro zenon_H5de ]. % 83.75/83.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (op2 (e22) (e21)))) = ((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e21))))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_H5dc. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_H5dd. % 83.75/83.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5de]. % 83.75/83.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5da]. % 83.75/83.90 congruence. % 83.75/83.90 apply (zenon_L774_); trivial. % 83.75/83.90 apply zenon_H5de. apply refl_equal. % 83.75/83.90 apply zenon_H5de. apply refl_equal. % 83.75/83.90 exact (zenon_H5df zenon_H45a). % 83.75/83.90 apply (zenon_L648_); trivial. % 83.75/83.90 apply (zenon_L28_); trivial. % 83.75/83.90 (* end of lemma zenon_L788_ *) % 83.75/83.90 assert (zenon_L789_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H102 zenon_H5db zenon_H124 zenon_H45a zenon_H5d4 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_Hf8 zenon_Hf7 zenon_Ha8. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.90 apply (zenon_L775_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.90 apply (zenon_L770_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.90 apply (zenon_L56_); trivial. % 83.75/83.90 apply (zenon_L61_); trivial. % 83.75/83.90 (* end of lemma zenon_L789_ *) % 83.75/83.90 assert (zenon_L790_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (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) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((e20) = (e21))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H14f zenon_H91 zenon_H73 zenon_Hce zenon_Hab zenon_Hd1 zenon_H10c zenon_H13e zenon_H142 zenon_Hdc zenon_H5db zenon_H102 zenon_Hff zenon_Hef zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_Hf7 zenon_H129 zenon_Hd5 zenon_H134 zenon_H12f zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_Had. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L50_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.90 apply (zenon_L76_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.90 apply (zenon_L53_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.90 apply (zenon_L54_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.90 apply (zenon_L789_); trivial. % 83.75/83.90 apply (zenon_L736_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.90 apply (zenon_L55_); trivial. % 83.75/83.90 apply (zenon_L517_); trivial. % 83.75/83.90 apply (zenon_L778_); trivial. % 83.75/83.90 (* end of lemma zenon_L790_ *) % 83.75/83.90 assert (zenon_L791_ : (~((op2 (e21) (op2 (e20) (e23))) = (op2 (e21) (e20)))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 83.75/83.90 do 0 intro. intros zenon_H5e0 zenon_H63. % 83.75/83.90 cut (((op2 (e20) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H5e1]. % 83.75/83.90 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.90 congruence. % 83.75/83.90 apply zenon_Haf. apply refl_equal. % 83.75/83.90 exact (zenon_H5e1 zenon_H63). % 83.75/83.90 (* end of lemma zenon_L791_ *) % 83.75/83.90 assert (zenon_L792_ : (~((op2 (e21) (op2 (e20) (e23))) = (e21))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e20) (e23)) = (e20)) -> False). % 83.75/83.90 do 0 intro. intros zenon_H5e2 zenon_Hac zenon_H63. % 83.75/83.90 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (op2 (e20) (e23))) = (e21))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_H5e2. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_Hac. % 83.75/83.90 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.90 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H5e3]. % 83.75/83.90 congruence. % 83.75/83.90 elim (classic ((op2 (e21) (op2 (e20) (e23))) = (op2 (e21) (op2 (e20) (e23))))); [ zenon_intro zenon_H5e4 | zenon_intro zenon_H5e5 ]. % 83.75/83.90 cut (((op2 (e21) (op2 (e20) (e23))) = (op2 (e21) (op2 (e20) (e23)))) = ((op2 (e21) (e20)) = (op2 (e21) (op2 (e20) (e23))))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_H5e3. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_H5e4. % 83.75/83.90 cut (((op2 (e21) (op2 (e20) (e23))) = (op2 (e21) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H5e5]. % 83.75/83.90 cut (((op2 (e21) (op2 (e20) (e23))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5e0]. % 83.75/83.90 congruence. % 83.75/83.90 apply (zenon_L791_); trivial. % 83.75/83.90 apply zenon_H5e5. apply refl_equal. % 83.75/83.90 apply zenon_H5e5. apply refl_equal. % 83.75/83.90 apply zenon_Haf. apply refl_equal. % 83.75/83.90 (* end of lemma zenon_L792_ *) % 83.75/83.90 assert (zenon_L793_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (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) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e21) (op2 (e20) (e23))) = (e21))) -> ((op2 (e20) (e23)) = (e20)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H45f zenon_Had zenon_H10b zenon_H15c zenon_H8a zenon_H5d zenon_H82 zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_H5db zenon_H140 zenon_He8 zenon_Hb2 zenon_H133 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H5d4 zenon_Hd1 zenon_H48e zenon_Hd6 zenon_H21e zenon_H5e2 zenon_H63 zenon_H15b zenon_H7a zenon_H78 zenon_H7c. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.90 apply (zenon_L41_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.90 apply (zenon_L76_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.90 apply (zenon_L41_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.90 apply (zenon_L792_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.90 apply (zenon_L787_); trivial. % 83.75/83.90 apply (zenon_L64_); trivial. % 83.75/83.90 apply (zenon_L28_); trivial. % 83.75/83.90 (* end of lemma zenon_L793_ *) % 83.75/83.90 assert (zenon_L794_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e22) = (e23))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Ha8 zenon_He1 zenon_Ha3 zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H47f. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.90 apply (zenon_L53_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.90 apply (zenon_L54_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.90 apply (zenon_L539_); trivial. % 83.75/83.90 apply (zenon_L626_); trivial. % 83.75/83.90 (* end of lemma zenon_L794_ *) % 83.75/83.90 assert (zenon_L795_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e20) = (e23))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (op2 (e21) (e20))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_H47f zenon_H120 zenon_H21e zenon_H5d zenon_H7a zenon_H472 zenon_Hd6 zenon_H482 zenon_Ha3 zenon_Ha8 zenon_H78 zenon_Hdc zenon_H142 zenon_H124 zenon_H45a zenon_H5d4 zenon_H511 zenon_Hac zenon_H467. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.90 apply (zenon_L76_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.90 apply (zenon_L794_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.90 apply (zenon_L770_); trivial. % 83.75/83.90 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_H511. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_Hac. % 83.75/83.90 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H13f]. % 83.75/83.90 cut (((op2 (e21) (e20)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H469]. % 83.75/83.90 congruence. % 83.75/83.90 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ]. % 83.75/83.90 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e21) (e20)) = (op2 (e20) (e21)))). % 83.75/83.90 intro zenon_D_pnotp. % 83.75/83.90 apply zenon_H469. % 83.75/83.90 rewrite <- zenon_D_pnotp. % 83.75/83.90 exact zenon_H106. % 83.75/83.90 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 83.75/83.90 cut (((op2 (e20) (e21)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H46a]. % 83.75/83.90 congruence. % 83.75/83.90 exact (zenon_H46a zenon_H467). % 83.75/83.90 apply zenon_H107. apply refl_equal. % 83.75/83.90 apply zenon_H107. apply refl_equal. % 83.75/83.90 apply zenon_H13f. apply sym_equal. exact zenon_H10e. % 83.75/83.90 (* end of lemma zenon_L795_ *) % 83.75/83.90 assert (zenon_L796_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (op2 (e21) (e20))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (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)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((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)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.90 do 0 intro. intros zenon_H48e zenon_He8 zenon_Hb2 zenon_H133 zenon_Had zenon_H467 zenon_Hac zenon_H511 zenon_H5d4 zenon_H45a zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_Ha3 zenon_H482 zenon_Hd6 zenon_H472 zenon_H21e zenon_H47f zenon_Hc3 zenon_H141 zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.90 apply (zenon_L42_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.90 apply (zenon_L772_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.90 apply (zenon_L795_); trivial. % 83.75/83.90 apply (zenon_L32_); trivial. % 83.75/83.90 (* end of lemma zenon_L796_ *) % 83.75/83.90 assert (zenon_L797_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (op2 (e21) (e20))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.90 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Had zenon_H467 zenon_Hab zenon_H466 zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_H13e zenon_H10c. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.90 apply (zenon_L49_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.90 apply (zenon_L772_); trivial. % 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.90 apply (zenon_L521_); trivial. % 83.75/83.90 apply (zenon_L781_); trivial. % 83.75/83.90 (* end of lemma zenon_L797_ *) % 83.75/83.90 assert (zenon_L798_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((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 (e21) (e20)) = (e20)) -> (~((op2 (e21) (op2 (e21) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e21) = (e23))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H15c zenon_H12f zenon_H134 zenon_H129 zenon_H11f zenon_H12c zenon_H5db zenon_Hd1 zenon_H13e zenon_H5d4 zenon_H45a zenon_H124 zenon_H133 zenon_Hb2 zenon_H78 zenon_Ha8 zenon_He8 zenon_Ha3 zenon_Hc3 zenon_H7a zenon_H141 zenon_H140 zenon_Hab zenon_H46d zenon_H102 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H5d zenon_H8a zenon_H14f zenon_H10c zenon_Hd6. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.91 apply (zenon_L43_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.91 apply (zenon_L790_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L525_); trivial. % 83.75/83.91 apply (zenon_L781_); trivial. % 83.75/83.91 apply (zenon_L88_); trivial. % 83.75/83.91 (* end of lemma zenon_L798_ *) % 83.75/83.91 assert (zenon_L799_ : (~((op2 (e22) (op2 (e21) (e21))) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H5e6 zenon_He2. % 83.75/83.91 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 83.75/83.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.91 congruence. % 83.75/83.91 apply zenon_Ha1. apply refl_equal. % 83.75/83.91 exact (zenon_He3 zenon_He2). % 83.75/83.91 (* end of lemma zenon_L799_ *) % 83.75/83.91 assert (zenon_L800_ : (~((op2 (e22) (op2 (e21) (e21))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e22)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H5e7 zenon_Hf9 zenon_He2. % 83.75/83.91 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (op2 (e21) (e21))) = (e22))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H5e7. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_Hf9. % 83.75/83.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.91 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5e8]. % 83.75/83.91 congruence. % 83.75/83.91 elim (classic ((op2 (e22) (op2 (e21) (e21))) = (op2 (e22) (op2 (e21) (e21))))); [ zenon_intro zenon_H5e9 | zenon_intro zenon_H5ea ]. % 83.75/83.91 cut (((op2 (e22) (op2 (e21) (e21))) = (op2 (e22) (op2 (e21) (e21)))) = ((op2 (e22) (e22)) = (op2 (e22) (op2 (e21) (e21))))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H5e8. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H5e9. % 83.75/83.91 cut (((op2 (e22) (op2 (e21) (e21))) = (op2 (e22) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5ea]. % 83.75/83.91 cut (((op2 (e22) (op2 (e21) (e21))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5e6]. % 83.75/83.91 congruence. % 83.75/83.91 apply (zenon_L799_); trivial. % 83.75/83.91 apply zenon_H5ea. apply refl_equal. % 83.75/83.91 apply zenon_H5ea. apply refl_equal. % 83.75/83.91 apply zenon_Ha1. apply refl_equal. % 83.75/83.91 (* end of lemma zenon_L800_ *) % 83.75/83.91 assert (zenon_L801_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e21) (e21))) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e22) = (e23))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H142 zenon_Hdc zenon_Ha8 zenon_H5e7 zenon_He4 zenon_H78 zenon_Hef zenon_Hff zenon_He8 zenon_Had zenon_H5db zenon_H102 zenon_Ha3 zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H47f. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.91 apply (zenon_L53_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.91 apply (zenon_L775_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.91 apply (zenon_L55_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.91 apply (zenon_L56_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.75/83.91 apply (zenon_L57_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.75/83.91 apply (zenon_L58_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.75/83.91 apply (zenon_L800_); trivial. % 83.75/83.91 apply (zenon_L60_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.91 apply (zenon_L539_); trivial. % 83.75/83.91 apply (zenon_L626_); trivial. % 83.75/83.91 (* end of lemma zenon_L801_ *) % 83.75/83.91 assert (zenon_L802_ : (~((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e20)))) -> ((op2 (e21) (e22)) = (e20)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H5eb zenon_H120. % 83.75/83.91 cut (((op2 (e21) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H5ec]. % 83.75/83.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.91 congruence. % 83.75/83.91 apply zenon_Haf. apply refl_equal. % 83.75/83.91 exact (zenon_H5ec zenon_H120). % 83.75/83.91 (* end of lemma zenon_L802_ *) % 83.75/83.91 assert (zenon_L803_ : (~((op2 (e21) (op2 (e21) (e22))) = (e21))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e22)) = (e20)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H486 zenon_Hac zenon_H120. % 83.75/83.91 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (op2 (e21) (e22))) = (e21))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H486. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_Hac. % 83.75/83.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.91 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H5ed]. % 83.75/83.91 congruence. % 83.75/83.91 elim (classic ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [ zenon_intro zenon_H557 | zenon_intro zenon_H558 ]. % 83.75/83.91 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22)))) = ((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e22))))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H5ed. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H557. % 83.75/83.91 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H558]. % 83.75/83.91 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5eb]. % 83.75/83.91 congruence. % 83.75/83.91 apply (zenon_L802_); trivial. % 83.75/83.91 apply zenon_H558. apply refl_equal. % 83.75/83.91 apply zenon_H558. apply refl_equal. % 83.75/83.91 apply zenon_Haf. apply refl_equal. % 83.75/83.91 (* end of lemma zenon_L803_ *) % 83.75/83.91 assert (zenon_L804_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e22))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (op2 (e21) (e22))) = (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H48e zenon_Ha8 zenon_H5d4 zenon_H45a zenon_He8 zenon_Ha3 zenon_Hb2 zenon_H133 zenon_H124 zenon_Had zenon_Hc3 zenon_H141 zenon_Hac zenon_H486 zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.91 apply (zenon_L803_); trivial. % 83.75/83.91 apply (zenon_L32_); trivial. % 83.75/83.91 (* end of lemma zenon_L804_ *) % 83.75/83.91 assert (zenon_L805_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (op2 (e21) (e23))) = (e22))) -> (~((e21) = (e22))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H142 zenon_Hdc zenon_He1 zenon_Hf7 zenon_H152 zenon_Hd6 zenon_H102 zenon_H5d4 zenon_H45a zenon_H124 zenon_H133 zenon_Hb2 zenon_Hc3 zenon_H141 zenon_H5db zenon_Hd1 zenon_Hab zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H5d zenon_H8a zenon_H14f zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H497 zenon_Ha8. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.91 apply (zenon_L53_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.91 apply (zenon_L54_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.91 apply (zenon_L516_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.91 apply (zenon_L55_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.91 apply (zenon_L56_); trivial. % 83.75/83.91 apply (zenon_L547_); trivial. % 83.75/83.91 (* end of lemma zenon_L805_ *) % 83.75/83.91 assert (zenon_L806_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e23) (e21)) = (op2 (e21) (e23))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e21) (op2 (e21) (e23))) = (e21))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H49c zenon_H10e zenon_H4a8. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.75/83.91 apply (zenon_L52_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.75/83.91 apply (zenon_L529_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.75/83.91 apply (zenon_L625_); trivial. % 83.75/83.91 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ]. % 83.75/83.91 cut (((e21) = (e21)) = ((op2 (e21) (op2 (e21) (e23))) = (e21))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H4a8. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_Hae. % 83.75/83.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.91 cut (((e21) = (op2 (e21) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H5ee]. % 83.75/83.91 congruence. % 83.75/83.91 cut (((op2 (e23) (e21)) = (op2 (e21) (e23))) = ((e21) = (op2 (e21) (op2 (e21) (e23))))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H5ee. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H49c. % 83.75/83.91 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H5ef]. % 83.75/83.91 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H5a4]. % 83.75/83.91 congruence. % 83.75/83.91 exact (zenon_H5a4 zenon_H10e). % 83.75/83.91 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H577]. % 83.75/83.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.91 congruence. % 83.75/83.91 apply zenon_Haf. apply refl_equal. % 83.75/83.91 apply zenon_H577. apply sym_equal. exact zenon_H47e. % 83.75/83.91 apply zenon_Haf. apply refl_equal. % 83.75/83.91 apply zenon_Haf. apply refl_equal. % 83.75/83.91 (* end of lemma zenon_L806_ *) % 83.75/83.91 assert (zenon_L807_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e23) (e21)) = (op2 (e21) (e23))) -> (~((op2 (e21) (op2 (e21) (e23))) = (e21))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_H47f zenon_Ha3 zenon_Ha8 zenon_H78 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H49c zenon_H4a8. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.91 apply (zenon_L794_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.91 apply (zenon_L55_); trivial. % 83.75/83.91 apply (zenon_L806_); trivial. % 83.75/83.91 (* end of lemma zenon_L807_ *) % 83.75/83.91 assert (zenon_L808_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H15c zenon_Hb2 zenon_Hd6 zenon_Hac zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H4ab zenon_Hce zenon_H10b zenon_H21e. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.91 apply (zenon_L43_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.91 apply (zenon_L52_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.91 apply (zenon_L553_); trivial. % 83.75/83.91 apply (zenon_L630_); trivial. % 83.75/83.91 (* end of lemma zenon_L808_ *) % 83.75/83.91 assert (zenon_L809_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (op2 (e22) (e21))) = (e21))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((e20) = (e21))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hac zenon_H4b5 zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_Had. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L558_); trivial. % 83.75/83.91 apply (zenon_L778_); trivial. % 83.75/83.91 (* end of lemma zenon_L809_ *) % 83.75/83.91 assert (zenon_L810_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> (~((e21) = (e22))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H102 zenon_H5db zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H4c7 zenon_Ha8. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.91 apply (zenon_L775_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.91 apply (zenon_L55_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.91 apply (zenon_L56_); trivial. % 83.75/83.91 apply (zenon_L567_); trivial. % 83.75/83.91 (* end of lemma zenon_L810_ *) % 83.75/83.91 assert (zenon_L811_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H48e zenon_Had zenon_H5d4 zenon_H45a zenon_H124 zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He8 zenon_Ha3 zenon_Hc3 zenon_H141 zenon_H102 zenon_H5db zenon_Hff zenon_Hef zenon_H4c7 zenon_H142 zenon_Hdc zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H21e zenon_H47f zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L773_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L810_); trivial. % 83.75/83.91 apply (zenon_L778_); trivial. % 83.75/83.91 apply (zenon_L32_); trivial. % 83.75/83.91 (* end of lemma zenon_L811_ *) % 83.75/83.91 assert (zenon_L812_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H4c7 zenon_Hef zenon_Hff zenon_Had zenon_H5db zenon_H102 zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_H13e zenon_H10c. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L810_); trivial. % 83.75/83.91 apply (zenon_L781_); trivial. % 83.75/83.91 (* end of lemma zenon_L812_ *) % 83.75/83.91 assert (zenon_L813_ : ((op2 (e22) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 83.75/83.91 do 0 intro. intros zenon_Hfc zenon_H4de zenon_H45a zenon_H112. % 83.75/83.91 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 83.75/83.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H112. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H113. % 83.75/83.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 83.75/83.91 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 83.75/83.91 congruence. % 83.75/83.91 cut (((op2 (e22) (e23)) = (e21)) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H115. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_Hfc. % 83.75/83.91 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H526]. % 83.75/83.91 cut (((op2 (e22) (e23)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4f8]. % 83.75/83.91 congruence. % 83.75/83.91 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 83.75/83.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e23)) = (op2 (e23) (e22)))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H4f8. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H113. % 83.75/83.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 83.75/83.91 cut (((op2 (e23) (e22)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e3]. % 83.75/83.91 congruence. % 83.75/83.91 exact (zenon_H4e3 zenon_H4de). % 83.75/83.91 apply zenon_H114. apply refl_equal. % 83.75/83.91 apply zenon_H114. apply refl_equal. % 83.75/83.91 apply zenon_H526. apply sym_equal. exact zenon_H45a. % 83.75/83.91 apply zenon_H114. apply refl_equal. % 83.75/83.91 apply zenon_H114. apply refl_equal. % 83.75/83.91 (* end of lemma zenon_L813_ *) % 83.75/83.91 assert (zenon_L814_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H102 zenon_He4 zenon_H5db zenon_H124 zenon_H5d4 zenon_He8 zenon_H78 zenon_H7a zenon_H4de zenon_H45a zenon_H112. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.91 apply (zenon_L775_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.91 apply (zenon_L770_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.91 apply (zenon_L56_); trivial. % 83.75/83.91 apply (zenon_L813_); trivial. % 83.75/83.91 (* end of lemma zenon_L814_ *) % 83.75/83.91 assert (zenon_L815_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Had zenon_H112 zenon_H4de zenon_H5db zenon_H102 zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_H13e zenon_H10c. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L814_); trivial. % 83.75/83.91 apply (zenon_L781_); trivial. % 83.75/83.91 (* end of lemma zenon_L815_ *) % 83.75/83.91 assert (zenon_L816_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H45f zenon_H10b zenon_H13e zenon_H102 zenon_H5db zenon_H124 zenon_H5d4 zenon_He8 zenon_H4de zenon_H112 zenon_H141 zenon_Hc3 zenon_Had zenon_H133 zenon_Hb2 zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H82 zenon_H5d zenon_H8a zenon_H14f zenon_H7a zenon_H78 zenon_H7c. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L814_); trivial. % 83.75/83.91 apply (zenon_L648_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 (* end of lemma zenon_L816_ *) % 83.75/83.91 assert (zenon_L817_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_He4 zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H91 zenon_H73 zenon_H462 zenon_H4e6 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.91 apply (zenon_L63_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.91 apply (zenon_L54_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.91 apply (zenon_L58_); trivial. % 83.75/83.91 apply (zenon_L757_); trivial. % 83.75/83.91 (* end of lemma zenon_L817_ *) % 83.75/83.91 assert (zenon_L818_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H140 zenon_Hab zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H4e6 zenon_H462 zenon_H73 zenon_H91 zenon_H134 zenon_Hb2 zenon_H133 zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.91 apply (zenon_L817_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.91 apply (zenon_L71_); trivial. % 83.75/83.91 apply (zenon_L518_); trivial. % 83.75/83.91 (* end of lemma zenon_L818_ *) % 83.75/83.91 assert (zenon_L819_ : (~((op2 (e21) (op2 (e23) (e20))) = (op2 (e21) (e20)))) -> ((op2 (e23) (e20)) = (e20)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H5f0 zenon_H10b. % 83.75/83.91 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H5f1]. % 83.75/83.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.91 congruence. % 83.75/83.91 apply zenon_Haf. apply refl_equal. % 83.75/83.91 exact (zenon_H5f1 zenon_H10b). % 83.75/83.91 (* end of lemma zenon_L819_ *) % 83.75/83.91 assert (zenon_L820_ : (~((op2 (e21) (op2 (e23) (e20))) = (e21))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e23) (e20)) = (e20)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H5f2 zenon_Hac zenon_H10b. % 83.75/83.91 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (op2 (e23) (e20))) = (e21))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H5f2. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_Hac. % 83.75/83.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.91 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H5f3]. % 83.75/83.91 congruence. % 83.75/83.91 elim (classic ((op2 (e21) (op2 (e23) (e20))) = (op2 (e21) (op2 (e23) (e20))))); [ zenon_intro zenon_H5f4 | zenon_intro zenon_H5f5 ]. % 83.75/83.91 cut (((op2 (e21) (op2 (e23) (e20))) = (op2 (e21) (op2 (e23) (e20)))) = ((op2 (e21) (e20)) = (op2 (e21) (op2 (e23) (e20))))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H5f3. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H5f4. % 83.75/83.91 cut (((op2 (e21) (op2 (e23) (e20))) = (op2 (e21) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H5f5]. % 83.75/83.91 cut (((op2 (e21) (op2 (e23) (e20))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5f0]. % 83.75/83.91 congruence. % 83.75/83.91 apply (zenon_L819_); trivial. % 83.75/83.91 apply zenon_H5f5. apply refl_equal. % 83.75/83.91 apply zenon_H5f5. apply refl_equal. % 83.75/83.91 apply zenon_Haf. apply refl_equal. % 83.75/83.91 (* end of lemma zenon_L820_ *) % 83.75/83.91 assert (zenon_L821_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (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) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e21) (op2 (e23) (e20))) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H45f zenon_Had zenon_H10b zenon_H15c zenon_H8a zenon_H5d zenon_H82 zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_H5db zenon_H140 zenon_He8 zenon_Hb2 zenon_H133 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H5d4 zenon_Hd1 zenon_H48e zenon_Hd6 zenon_H21e zenon_H5f2 zenon_H15b zenon_H7a zenon_H78 zenon_H7c. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L820_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L787_); trivial. % 83.75/83.91 apply (zenon_L64_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 (* end of lemma zenon_L821_ *) % 83.75/83.91 assert (zenon_L822_ : (~((e23) = (e23))) -> False). % 83.75/83.91 do 0 intro. intros zenon_Hd8. % 83.75/83.91 apply zenon_Hd8. apply refl_equal. % 83.75/83.91 (* end of lemma zenon_L822_ *) % 83.75/83.91 assert (zenon_L823_ : (~((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e21))))) -> ((op2 (e23) (e21)) = (e21)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H5f6 zenon_H10e. % 83.75/83.91 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H13f]. % 83.75/83.91 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.91 congruence. % 83.75/83.91 apply zenon_Hd8. apply refl_equal. % 83.75/83.91 apply zenon_H13f. apply sym_equal. exact zenon_H10e. % 83.75/83.91 (* end of lemma zenon_L823_ *) % 83.75/83.91 assert (zenon_L824_ : ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e23))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H4e9 zenon_H47e zenon_H10e zenon_H4f6. % 83.75/83.91 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ]. % 83.75/83.91 cut (((e23) = (e23)) = ((op2 (e23) (op2 (e23) (e21))) = (e23))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H4f6. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_Hd7. % 83.75/83.91 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.91 cut (((e23) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5f7]. % 83.75/83.91 congruence. % 83.75/83.91 cut (((op2 (e21) (e23)) = (op2 (e23) (e21))) = ((e23) = (op2 (e23) (op2 (e23) (e21))))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H5f7. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H4e9. % 83.75/83.91 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5f6]. % 83.75/83.91 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H481]. % 83.75/83.91 congruence. % 83.75/83.91 exact (zenon_H481 zenon_H47e). % 83.75/83.91 apply (zenon_L823_); trivial. % 83.75/83.91 apply zenon_Hd8. apply refl_equal. % 83.75/83.91 apply zenon_Hd8. apply refl_equal. % 83.75/83.91 (* end of lemma zenon_L824_ *) % 83.75/83.91 assert (zenon_L825_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e23))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H4e9 zenon_H10e zenon_H4f6. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.75/83.91 apply (zenon_L52_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.75/83.91 apply (zenon_L529_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.75/83.91 apply (zenon_L625_); trivial. % 83.75/83.91 apply (zenon_L824_); trivial. % 83.75/83.91 (* end of lemma zenon_L825_ *) % 83.75/83.91 assert (zenon_L826_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e23))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_H47f zenon_Ha3 zenon_Ha8 zenon_H78 zenon_Hdc zenon_H142 zenon_H124 zenon_H45a zenon_H5d4 zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H4e9 zenon_H4f6. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.91 apply (zenon_L794_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.91 apply (zenon_L770_); trivial. % 83.75/83.91 apply (zenon_L825_); trivial. % 83.75/83.91 (* end of lemma zenon_L826_ *) % 83.75/83.91 assert (zenon_L827_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e23))) -> ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (op2 (e22) (e21)) (e22)) = (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)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (~((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)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H48e zenon_He8 zenon_Hb2 zenon_H133 zenon_Had zenon_H4f6 zenon_H4e9 zenon_H21e zenon_H472 zenon_Hac zenon_Hd6 zenon_H482 zenon_H5d4 zenon_H45a zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_Ha3 zenon_H47f zenon_Hc3 zenon_H141 zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.91 apply (zenon_L826_); trivial. % 83.75/83.91 apply (zenon_L32_); trivial. % 83.75/83.91 (* end of lemma zenon_L827_ *) % 83.75/83.91 assert (zenon_L828_ : (~((op2 (e20) (op2 (e23) (e22))) = (op2 (e20) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H5f8 zenon_H582. % 83.75/83.91 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5f9]. % 83.75/83.91 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.75/83.91 congruence. % 83.75/83.91 apply zenon_H60. apply refl_equal. % 83.75/83.91 exact (zenon_H5f9 zenon_H582). % 83.75/83.91 (* end of lemma zenon_L828_ *) % 83.75/83.91 assert (zenon_L829_ : (~((op2 (e20) (op2 (e23) (e22))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H5fa zenon_H63 zenon_H582. % 83.75/83.91 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (op2 (e23) (e22))) = (e20))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H5fa. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H63. % 83.75/83.91 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.75/83.91 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H5fb]. % 83.75/83.91 congruence. % 83.75/83.91 elim (classic ((op2 (e20) (op2 (e23) (e22))) = (op2 (e20) (op2 (e23) (e22))))); [ zenon_intro zenon_H5fc | zenon_intro zenon_H5fd ]. % 83.75/83.91 cut (((op2 (e20) (op2 (e23) (e22))) = (op2 (e20) (op2 (e23) (e22)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e23) (e22))))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H5fb. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H5fc. % 83.75/83.91 cut (((op2 (e20) (op2 (e23) (e22))) = (op2 (e20) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H5fd]. % 83.75/83.91 cut (((op2 (e20) (op2 (e23) (e22))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H5f8]. % 83.75/83.91 congruence. % 83.75/83.91 apply (zenon_L828_); trivial. % 83.75/83.91 apply zenon_H5fd. apply refl_equal. % 83.75/83.91 apply zenon_H5fd. apply refl_equal. % 83.75/83.91 apply zenon_H60. apply refl_equal. % 83.75/83.91 (* end of lemma zenon_L829_ *) % 83.75/83.91 assert (zenon_L830_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (op2 (e23) (e22))) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.91 do 0 intro. intros zenon_Hce zenon_H582 zenon_H5fa zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.91 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.75/83.91 apply (zenon_L829_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.75/83.91 apply (zenon_L32_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.75/83.91 apply (zenon_L34_); trivial. % 83.75/83.91 apply (zenon_L36_); trivial. % 83.75/83.91 (* end of lemma zenon_L830_ *) % 83.75/83.91 assert (zenon_L831_ : (~((op2 (e22) (op2 (e23) (e23))) = (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H5fe zenon_H4fc. % 83.75/83.91 cut (((op2 (e23) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H5ff]. % 83.75/83.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.91 congruence. % 83.75/83.91 apply zenon_Ha1. apply refl_equal. % 83.75/83.91 exact (zenon_H5ff zenon_H4fc). % 83.75/83.91 (* end of lemma zenon_L831_ *) % 83.75/83.91 assert (zenon_L832_ : (~((op2 (e22) (op2 (e23) (e23))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e23) (e23)) = (e22)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H600 zenon_Hf9 zenon_H4fc. % 83.75/83.91 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (op2 (e23) (e23))) = (e22))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H600. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_Hf9. % 83.75/83.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.91 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H601]. % 83.75/83.91 congruence. % 83.75/83.91 elim (classic ((op2 (e22) (op2 (e23) (e23))) = (op2 (e22) (op2 (e23) (e23))))); [ zenon_intro zenon_H602 | zenon_intro zenon_H603 ]. % 83.75/83.91 cut (((op2 (e22) (op2 (e23) (e23))) = (op2 (e22) (op2 (e23) (e23)))) = ((op2 (e22) (e22)) = (op2 (e22) (op2 (e23) (e23))))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H601. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H602. % 83.75/83.91 cut (((op2 (e22) (op2 (e23) (e23))) = (op2 (e22) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H603]. % 83.75/83.91 cut (((op2 (e22) (op2 (e23) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5fe]. % 83.75/83.91 congruence. % 83.75/83.91 apply (zenon_L831_); trivial. % 83.75/83.91 apply zenon_H603. apply refl_equal. % 83.75/83.91 apply zenon_H603. apply refl_equal. % 83.75/83.91 apply zenon_Ha1. apply refl_equal. % 83.75/83.91 (* end of lemma zenon_L832_ *) % 83.75/83.91 assert (zenon_L833_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e22) = (e23))) -> ((op2 (e21) (e23)) = (e23)) -> (~((e21) = (e22))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (op2 (e23) (e23))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H57f zenon_H82 zenon_H78 zenon_H47f zenon_H47e zenon_Ha8 zenon_Hfc zenon_H600 zenon_Hf9. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.75/83.91 apply (zenon_L29_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.75/83.91 apply (zenon_L532_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.75/83.91 apply (zenon_L60_); trivial. % 83.75/83.91 apply (zenon_L832_); trivial. % 83.75/83.91 (* end of lemma zenon_L833_ *) % 83.75/83.91 assert (zenon_L834_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (op2 (e23) (e23))) = (e22))) -> ((op2 (e21) (e23)) = (e23)) -> (~((e22) = (e23))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 83.75/83.91 do 0 intro. intros zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_H600 zenon_H47e zenon_H47f zenon_H78 zenon_H82 zenon_H57f zenon_Hfc zenon_Ha8. % 83.75/83.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.75/83.91 apply (zenon_L57_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.75/83.91 apply (zenon_L58_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.75/83.91 apply (zenon_L833_); trivial. % 83.75/83.91 apply (zenon_L60_); trivial. % 83.75/83.91 (* end of lemma zenon_L834_ *) % 83.75/83.91 assert (zenon_L835_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (op2 (e23) (e23))) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (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 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H15c zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_Hdc zenon_H142 zenon_Ha8 zenon_H57f zenon_H47f zenon_H600 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_H5d4 zenon_H45a zenon_H124 zenon_Hd6 zenon_H102 zenon_H472 zenon_Hac zenon_H482 zenon_H13e zenon_H141 zenon_Hc3 zenon_Had zenon_H133 zenon_Hb2 zenon_H48e zenon_H10b zenon_H21e. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.91 apply (zenon_L43_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.91 apply (zenon_L52_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L773_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.75/83.91 apply (zenon_L52_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.75/83.91 apply (zenon_L529_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.75/83.91 apply (zenon_L625_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.91 apply (zenon_L83_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.91 apply (zenon_L770_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.91 apply (zenon_L56_); trivial. % 83.75/83.91 apply (zenon_L834_); trivial. % 83.75/83.91 apply (zenon_L648_); trivial. % 83.75/83.91 apply (zenon_L32_); trivial. % 83.75/83.91 apply (zenon_L630_); trivial. % 83.75/83.91 (* end of lemma zenon_L835_ *) % 83.75/83.91 assert (zenon_L836_ : ((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\(((op2 (op2 (e22) (e21)) (e22)) = (e21))/\(~((op2 (op2 (e22) (e21)) (e21)) = (e22))))) -> ((((op2 (e20) (e20)) = (op2 (e20) (e20)))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e20))) = (e23)))))))\/((((op2 (e21) (e20)) = (op2 (e20) (e21)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e21))) = (e23)))))))\/((((op2 (e22) (e20)) = (op2 (e20) (e22)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e22))) = (e23)))))))\/((((op2 (e23) (e20)) = (op2 (e20) (e23)))/\((~((op2 (e20) (op2 (e20) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e23))) = (e23)))))))\/((((op2 (e20) (e21)) = (op2 (e21) (e20)))/\((~((op2 (e20) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e20))) = (e23)))))))\/((((op2 (e21) (e21)) = (op2 (e21) (e21)))/\((~((op2 (e20) (op2 (e21) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e21))) = (e23)))))))\/((((op2 (e22) (e21)) = (op2 (e21) (e22)))/\((~((op2 (e20) (op2 (e21) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e22))) = (e23)))))))\/((((op2 (e23) (e21)) = (op2 (e21) (e23)))/\((~((op2 (e20) (op2 (e21) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e23))) = (e23)))))))\/((((op2 (e20) (e22)) = (op2 (e22) (e20)))/\((~((op2 (e20) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e20))) = (e23)))))))\/((((op2 (e21) (e22)) = (op2 (e22) (e21)))/\((~((op2 (e20) (op2 (e22) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e21))) = (e23)))))))\/((((op2 (e22) (e22)) = (op2 (e22) (e22)))/\((~((op2 (e20) (op2 (e22) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e22))) = (e23)))))))\/((((op2 (e23) (e22)) = (op2 (e22) (e23)))/\((~((op2 (e20) (op2 (e22) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e23))) = (e23)))))))\/((((op2 (e20) (e23)) = (op2 (e23) (e20)))/\((~((op2 (e20) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e20))) = (e23)))))))\/((((op2 (e21) (e23)) = (op2 (e23) (e21)))/\((~((op2 (e20) (op2 (e23) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e21))) = (e23)))))))\/((((op2 (e22) (e23)) = (op2 (e23) (e22)))/\((~((op2 (e20) (op2 (e23) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e22))) = (e23)))))))\/(((op2 (e23) (e23)) = (op2 (e23) (e23)))/\((~((op2 (e20) (op2 (e23) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))))))))))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (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 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (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) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (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) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H604 zenon_H5b3 zenon_Hc9 zenon_Hbc zenon_H511 zenon_H466 zenon_H112 zenon_H462 zenon_H4cb zenon_H605 zenon_H48d zenon_H12f zenon_H134 zenon_H129 zenon_H11f zenon_H12c zenon_Hf7 zenon_H51b zenon_H51e zenon_H48b zenon_H45f zenon_Had zenon_H15c zenon_H8a zenon_H5d zenon_H82 zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_H140 zenon_He8 zenon_Hb2 zenon_H133 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_Hd1 zenon_H48e zenon_Hd6 zenon_H21e zenon_H57f zenon_H47f zenon_Hef zenon_Hff zenon_H102 zenon_H472 zenon_H482 zenon_H13e zenon_H15b zenon_H7a zenon_H78 zenon_H7c. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H604). zenon_intro zenon_H5db. zenon_intro zenon_H606. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H606). zenon_intro zenon_H5d4. zenon_intro zenon_H607. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L779_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_L782_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L779_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L787_); trivial. % 83.75/83.91 apply (zenon_L64_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.75/83.91 apply (zenon_L509_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_L510_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_L788_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H5c2). zenon_intro zenon_H609. zenon_intro zenon_H608. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H608). zenon_intro zenon_H5e2. zenon_intro zenon_H60a. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.91 apply (zenon_L43_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.91 apply (zenon_L790_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L50_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L519_); trivial. % 83.75/83.91 apply (zenon_L781_); trivial. % 83.75/83.91 apply (zenon_L88_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.75/83.91 apply (zenon_L793_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.75/83.91 apply (zenon_L32_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.75/83.91 apply (zenon_L34_); trivial. % 83.75/83.91 apply (zenon_L36_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L796_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_L797_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L796_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L787_); trivial. % 83.75/83.91 apply (zenon_L64_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H5cb). zenon_intro zenon_H5e7. zenon_intro zenon_H60b. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_L798_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L773_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L801_); trivial. % 83.75/83.91 apply (zenon_L648_); trivial. % 83.75/83.91 apply (zenon_L32_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L787_); trivial. % 83.75/83.91 apply (zenon_L64_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H485. zenon_intro zenon_H48f. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H47a. zenon_intro zenon_H490. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H486. zenon_intro zenon_H491. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L804_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.91 apply (zenon_L43_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.91 apply (zenon_L790_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.91 apply (zenon_L804_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.91 apply (zenon_L53_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.91 apply (zenon_L54_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.91 apply (zenon_L789_); trivial. % 83.75/83.91 apply (zenon_L534_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.91 apply (zenon_L71_); trivial. % 83.75/83.91 apply (zenon_L518_); trivial. % 83.75/83.91 apply (zenon_L781_); trivial. % 83.75/83.91 apply (zenon_L88_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L804_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L787_); trivial. % 83.75/83.91 apply (zenon_L64_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49c. zenon_intro zenon_H4a4. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H4a6. zenon_intro zenon_H4a5. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H4a8. zenon_intro zenon_H4a7. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H497. zenon_intro zenon_H4a9. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.91 apply (zenon_L43_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.91 apply (zenon_L790_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.91 apply (zenon_L805_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.91 apply (zenon_L71_); trivial. % 83.75/83.91 apply (zenon_L518_); trivial. % 83.75/83.91 apply (zenon_L781_); trivial. % 83.75/83.91 apply (zenon_L88_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L773_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L807_); trivial. % 83.75/83.91 apply (zenon_L648_); trivial. % 83.75/83.91 apply (zenon_L32_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L787_); trivial. % 83.75/83.91 apply (zenon_L64_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H4af. zenon_intro zenon_H4b1. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H4ab. zenon_intro zenon_H4b2. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.91 apply (zenon_L43_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.91 apply (zenon_L790_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.91 apply (zenon_L553_); trivial. % 83.75/83.91 apply (zenon_L88_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L808_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L787_); trivial. % 83.75/83.91 apply (zenon_L64_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H4b9. zenon_intro zenon_H4c0. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4c0). zenon_intro zenon_H4c2. zenon_intro zenon_H4c1. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H4b5. zenon_intro zenon_H4c3. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L809_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.91 apply (zenon_L43_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.91 apply (zenon_L790_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L50_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L561_); trivial. % 83.75/83.91 apply (zenon_L778_); trivial. % 83.75/83.91 apply (zenon_L88_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L809_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L787_); trivial. % 83.75/83.91 apply (zenon_L64_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_He9. zenon_intro zenon_H4d9. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H4d1. zenon_intro zenon_H4da. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H4dc. zenon_intro zenon_H4db. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4db). zenon_intro zenon_H4c7. zenon_intro zenon_H4dd. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L811_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_L812_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L811_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L787_); trivial. % 83.75/83.91 apply (zenon_L64_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4e4). zenon_intro zenon_H4de. zenon_intro zenon_H4e5. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_L815_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_L816_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4e6. zenon_intro zenon_H4e8. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4e8). zenon_intro zenon_H60d. zenon_intro zenon_H60c. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H60c). zenon_intro zenon_H5f2. zenon_intro zenon_H60e. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.91 apply (zenon_L43_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.91 apply (zenon_L790_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L818_); trivial. % 83.75/83.91 apply (zenon_L778_); trivial. % 83.75/83.91 apply (zenon_L88_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_L821_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H4e9. zenon_intro zenon_H4f1. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H4f3. zenon_intro zenon_H4f2. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H4f5. zenon_intro zenon_H4f4. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H4eb. zenon_intro zenon_H4f6. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.91 apply (zenon_L43_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.91 apply (zenon_L790_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.91 apply (zenon_L827_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.91 apply (zenon_L63_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.91 apply (zenon_L54_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.91 apply (zenon_L58_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.91 apply (zenon_L775_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.91 apply (zenon_L55_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.91 apply (zenon_L56_); trivial. % 83.75/83.91 apply (zenon_L583_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.91 apply (zenon_L71_); trivial. % 83.75/83.91 apply (zenon_L518_); trivial. % 83.75/83.91 apply (zenon_L778_); trivial. % 83.75/83.91 apply (zenon_L88_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L827_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L787_); trivial. % 83.75/83.91 apply (zenon_L64_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H4f7. zenon_intro zenon_H4fa. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H4fa). zenon_intro zenon_H5fa. zenon_intro zenon_H60f. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L764_); trivial. % 83.75/83.91 apply (zenon_L781_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.91 apply (zenon_L43_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.91 apply (zenon_L52_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.91 apply (zenon_L772_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H610 ]. % 83.75/83.91 apply (zenon_L46_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H610); [ zenon_intro zenon_H12a | zenon_intro zenon_H611 ]. % 83.75/83.91 apply (zenon_L625_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H4cf | zenon_intro zenon_H582 ]. % 83.75/83.91 apply (zenon_L740_); trivial. % 83.75/83.91 apply (zenon_L830_); trivial. % 83.75/83.91 apply (zenon_L32_); trivial. % 83.75/83.91 apply (zenon_L630_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L787_); trivial. % 83.75/83.91 apply (zenon_L64_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H523. zenon_intro zenon_H522. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H522). zenon_intro zenon_H501. zenon_intro zenon_H524. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H524). zenon_intro zenon_H613. zenon_intro zenon_H612. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H612). zenon_intro zenon_H600. zenon_intro zenon_H614. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.91 apply (zenon_L40_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L42_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L780_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.91 apply (zenon_L43_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.91 apply (zenon_L790_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.91 apply (zenon_L49_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.91 apply (zenon_L610_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.91 apply (zenon_L613_); trivial. % 83.75/83.91 apply (zenon_L781_); trivial. % 83.75/83.91 apply (zenon_L88_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.91 apply (zenon_L783_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.91 apply (zenon_L76_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.91 apply (zenon_L41_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.91 apply (zenon_L835_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.91 apply (zenon_L787_); trivial. % 83.75/83.91 apply (zenon_L64_); trivial. % 83.75/83.91 apply (zenon_L28_); trivial. % 83.75/83.91 (* end of lemma zenon_L836_ *) % 83.75/83.91 assert (zenon_L837_ : ((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(((op2 (op2 (e22) (e22)) (e22)) = (e22))/\(~((op2 (op2 (e22) (e22)) (e22)) = (e22))))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H615. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H615). zenon_intro zenon_H4c7. zenon_intro zenon_H616. % 83.75/83.91 apply (zenon_and_s _ _ zenon_H616). zenon_intro zenon_H618. zenon_intro zenon_H617. % 83.75/83.91 exact (zenon_H617 zenon_H618). % 83.75/83.91 (* end of lemma zenon_L837_ *) % 83.75/83.91 assert (zenon_L838_ : (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H619 zenon_H61a zenon_Hfd. % 83.75/83.91 cut (((op2 (op2 (e22) (e23)) (e22)) = (e23)) = ((op2 (e22) (op2 (e22) (e23))) = (e23))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H619. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H61a. % 83.75/83.91 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.91 cut (((op2 (op2 (e22) (e23)) (e22)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H61b]. % 83.75/83.91 congruence. % 83.75/83.91 elim (classic ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (op2 (e22) (e23))))); [ zenon_intro zenon_H61c | zenon_intro zenon_H61d ]. % 83.75/83.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (op2 (e22) (e23)))) = ((op2 (op2 (e22) (e23)) (e22)) = (op2 (e22) (op2 (e22) (e23))))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H61b. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H61c. % 83.75/83.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H61d]. % 83.75/83.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (op2 (e22) (e23)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H61e]. % 83.75/83.91 congruence. % 83.75/83.91 cut (((op2 (e22) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hfe]. % 83.75/83.91 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 83.75/83.91 congruence. % 83.75/83.91 apply zenon_H131. apply sym_equal. exact zenon_Hfd. % 83.75/83.91 exact (zenon_Hfe zenon_Hfd). % 83.75/83.91 apply zenon_H61d. apply refl_equal. % 83.75/83.91 apply zenon_H61d. apply refl_equal. % 83.75/83.91 apply zenon_Hd8. apply refl_equal. % 83.75/83.91 (* end of lemma zenon_L838_ *) % 83.75/83.91 assert (zenon_L839_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> False). % 83.75/83.91 do 0 intro. intros zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_Hf8 zenon_Hf7 zenon_H619 zenon_H61a. % 83.75/83.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.75/83.91 apply (zenon_L57_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.75/83.91 apply (zenon_L58_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.75/83.91 apply (zenon_L59_); trivial. % 83.75/83.91 apply (zenon_L838_); trivial. % 83.75/83.91 (* end of lemma zenon_L839_ *) % 83.75/83.91 assert (zenon_L840_ : (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e21)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H61f zenon_H130 zenon_Hfc. % 83.75/83.91 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (op2 (e22) (e23)) (e23)) = (e22))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H61f. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H130. % 83.75/83.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.91 cut (((op2 (e21) (e23)) = (op2 (op2 (e22) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H620]. % 83.75/83.91 congruence. % 83.75/83.91 elim (classic ((op2 (op2 (e22) (e23)) (e23)) = (op2 (op2 (e22) (e23)) (e23)))); [ zenon_intro zenon_H621 | zenon_intro zenon_H622 ]. % 83.75/83.91 cut (((op2 (op2 (e22) (e23)) (e23)) = (op2 (op2 (e22) (e23)) (e23))) = ((op2 (e21) (e23)) = (op2 (op2 (e22) (e23)) (e23)))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H620. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H621. % 83.75/83.91 cut (((op2 (op2 (e22) (e23)) (e23)) = (op2 (op2 (e22) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H622]. % 83.75/83.91 cut (((op2 (op2 (e22) (e23)) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H623]. % 83.75/83.91 congruence. % 83.75/83.91 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.91 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H624]. % 83.75/83.91 congruence. % 83.75/83.91 exact (zenon_H624 zenon_Hfc). % 83.75/83.91 apply zenon_Hd8. apply refl_equal. % 83.75/83.91 apply zenon_H622. apply refl_equal. % 83.75/83.91 apply zenon_H622. apply refl_equal. % 83.75/83.91 apply zenon_Ha1. apply refl_equal. % 83.75/83.91 (* end of lemma zenon_L840_ *) % 83.75/83.91 assert (zenon_L841_ : (~((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H625 zenon_H51c. % 83.75/83.91 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H626]. % 83.75/83.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.91 congruence. % 83.75/83.91 apply zenon_Ha1. apply refl_equal. % 83.75/83.91 exact (zenon_H626 zenon_H51c). % 83.75/83.91 (* end of lemma zenon_L841_ *) % 83.75/83.91 assert (zenon_L842_ : (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (e22) (e23)) = (e23)) -> False). % 83.75/83.91 do 0 intro. intros zenon_H619 zenon_H51c. % 83.75/83.91 cut (((op2 (e22) (e23)) = (e23)) = ((op2 (e22) (op2 (e22) (e23))) = (e23))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H619. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H51c. % 83.75/83.91 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.91 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H627]. % 83.75/83.91 congruence. % 83.75/83.91 elim (classic ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (op2 (e22) (e23))))); [ zenon_intro zenon_H61c | zenon_intro zenon_H61d ]. % 83.75/83.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (op2 (e22) (e23)))) = ((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e23))))). % 83.75/83.91 intro zenon_D_pnotp. % 83.75/83.91 apply zenon_H627. % 83.75/83.91 rewrite <- zenon_D_pnotp. % 83.75/83.91 exact zenon_H61c. % 83.75/83.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H61d]. % 83.75/83.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H625]. % 83.75/83.91 congruence. % 83.75/83.91 apply (zenon_L841_); trivial. % 83.75/83.91 apply zenon_H61d. apply refl_equal. % 83.75/83.91 apply zenon_H61d. apply refl_equal. % 83.75/83.91 apply zenon_Hd8. apply refl_equal. % 83.75/83.91 (* end of lemma zenon_L842_ *) % 83.75/83.91 assert (zenon_L843_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H130 zenon_H61f zenon_H61a zenon_H619. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ]. % 83.75/83.91 apply (zenon_L34_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ]. % 83.75/83.91 apply (zenon_L840_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ]. % 83.75/83.91 apply (zenon_L838_); trivial. % 83.75/83.91 apply (zenon_L842_); trivial. % 83.75/83.91 (* end of lemma zenon_L843_ *) % 83.75/83.91 assert (zenon_L844_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H142 zenon_Hdc zenon_Ha8 zenon_He1 zenon_Hf7 zenon_He4 zenon_Ha3 zenon_Hef zenon_Hff zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H61f zenon_H61a zenon_H619. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.91 apply (zenon_L53_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.91 apply (zenon_L54_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.91 apply (zenon_L839_); trivial. % 83.75/83.91 apply (zenon_L843_); trivial. % 83.75/83.91 (* end of lemma zenon_L844_ *) % 83.75/83.91 assert (zenon_L845_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False). % 83.75/83.91 do 0 intro. intros zenon_H628 zenon_H63 zenon_H91 zenon_H13c zenon_H12f zenon_H61a zenon_H619. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ]. % 83.75/83.91 apply (zenon_L33_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ]. % 83.75/83.91 apply (zenon_L584_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ]. % 83.75/83.91 apply (zenon_L838_); trivial. % 83.75/83.91 apply (zenon_L842_); trivial. % 83.75/83.91 (* end of lemma zenon_L845_ *) % 83.75/83.91 assert (zenon_L846_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.91 do 0 intro. intros zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H13c zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.91 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.75/83.91 apply (zenon_L845_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.75/83.91 apply (zenon_L32_); trivial. % 83.75/83.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.75/83.91 apply (zenon_L34_); trivial. % 83.75/83.91 apply (zenon_L36_); trivial. % 83.75/83.91 (* end of lemma zenon_L846_ *) % 83.75/83.91 assert (zenon_L847_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H140 zenon_Had zenon_Hab zenon_H61f zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_Hf7 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.92 apply (zenon_L42_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.92 apply (zenon_L844_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.92 apply (zenon_L71_); trivial. % 83.75/83.92 apply (zenon_L846_); trivial. % 83.75/83.92 (* end of lemma zenon_L847_ *) % 83.75/83.92 assert (zenon_L848_ : (~((op2 (e21) (e22)) = (op2 (op2 (e22) (e23)) (e22)))) -> ((op2 (e22) (e23)) = (e21)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H62b zenon_Hfc. % 83.75/83.92 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.92 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4ef]. % 83.75/83.92 congruence. % 83.75/83.92 apply zenon_H4ef. apply sym_equal. exact zenon_Hfc. % 83.75/83.92 apply zenon_Ha1. apply refl_equal. % 83.75/83.92 (* end of lemma zenon_L848_ *) % 83.75/83.92 assert (zenon_L849_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H11f zenon_H61a zenon_Hfc zenon_H582. % 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (e23)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H11f. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H61a. % 83.75/83.92 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H583]. % 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62c]. % 83.75/83.92 congruence. % 83.75/83.92 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ]. % 83.75/83.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (op2 (e22) (e23)) (e22)) = (op2 (e21) (e22)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H62c. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H125. % 83.75/83.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 83.75/83.92 cut (((op2 (e21) (e22)) = (op2 (op2 (e22) (e23)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62b]. % 83.75/83.92 congruence. % 83.75/83.92 apply (zenon_L848_); trivial. % 83.75/83.92 apply zenon_Hfb. apply refl_equal. % 83.75/83.92 apply zenon_Hfb. apply refl_equal. % 83.75/83.92 apply zenon_H583. apply sym_equal. exact zenon_H582. % 83.75/83.92 (* end of lemma zenon_L849_ *) % 83.75/83.92 assert (zenon_L850_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H584 zenon_H11e zenon_H50f zenon_H112 zenon_H78 zenon_H7a zenon_Hf8 zenon_H11f zenon_H61a zenon_Hfc. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H121 | zenon_intro zenon_H585 ]. % 83.75/83.92 apply (zenon_L600_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H111 | zenon_intro zenon_H586 ]. % 83.75/83.92 apply (zenon_L66_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H586); [ zenon_intro zenon_H50d | zenon_intro zenon_H582 ]. % 83.75/83.92 apply (zenon_L598_); trivial. % 83.75/83.92 apply (zenon_L849_); trivial. % 83.75/83.92 (* end of lemma zenon_L850_ *) % 83.75/83.92 assert (zenon_L851_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (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)) = (e22)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H628 zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H11f zenon_Hf8 zenon_H7a zenon_H78 zenon_H112 zenon_H50f zenon_H11e zenon_H584 zenon_H61a zenon_H619. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ]. % 83.75/83.92 apply (zenon_L34_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ]. % 83.75/83.92 apply (zenon_L850_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ]. % 83.75/83.92 apply (zenon_L838_); trivial. % 83.75/83.92 apply (zenon_L842_); trivial. % 83.75/83.92 (* end of lemma zenon_L851_ *) % 83.75/83.92 assert (zenon_L852_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H142 zenon_Hdc zenon_Ha8 zenon_He1 zenon_H584 zenon_H11e zenon_H50f zenon_H112 zenon_H11f zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H61f zenon_H61a zenon_H619. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.92 apply (zenon_L53_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.92 apply (zenon_L54_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.92 apply (zenon_L851_); trivial. % 83.75/83.92 apply (zenon_L843_); trivial. % 83.75/83.92 (* end of lemma zenon_L852_ *) % 83.75/83.92 assert (zenon_L853_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H14f zenon_Hd1 zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_Hab zenon_Had zenon_H140 zenon_H554 zenon_Hbb zenon_H61f zenon_H11f zenon_H112 zenon_H50f zenon_H584 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.92 apply (zenon_L49_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.92 apply (zenon_L50_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.92 apply (zenon_L847_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.92 apply (zenon_L652_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.92 apply (zenon_L852_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.92 apply (zenon_L71_); trivial. % 83.75/83.92 apply (zenon_L846_); trivial. % 83.75/83.92 (* end of lemma zenon_L853_ *) % 83.75/83.92 assert (zenon_L854_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_H61f zenon_H11f zenon_H112 zenon_H50f zenon_H11e zenon_H584 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.92 apply (zenon_L52_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.92 apply (zenon_L852_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.92 apply (zenon_L71_); trivial. % 83.75/83.92 apply (zenon_L846_); trivial. % 83.75/83.92 (* end of lemma zenon_L854_ *) % 83.75/83.92 assert (zenon_L855_ : ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H61a zenon_H51c zenon_H12a zenon_H11f. % 83.75/83.92 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 83.75/83.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H11f. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H113. % 83.75/83.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 83.75/83.92 cut (((op2 (e23) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62d]. % 83.75/83.92 congruence. % 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (e23)) = ((op2 (e23) (e22)) = (op2 (e21) (e22)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H62d. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H61a. % 83.75/83.92 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62e]. % 83.75/83.92 congruence. % 83.75/83.92 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 83.75/83.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (op2 (e22) (e23)) (e22)) = (op2 (e23) (e22)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H62e. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H113. % 83.75/83.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 83.75/83.92 cut (((op2 (e23) (e22)) = (op2 (op2 (e22) (e23)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62f]. % 83.75/83.92 congruence. % 83.75/83.92 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.92 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H51d]. % 83.75/83.92 congruence. % 83.75/83.92 apply zenon_H51d. apply sym_equal. exact zenon_H51c. % 83.75/83.92 apply zenon_Ha1. apply refl_equal. % 83.75/83.92 apply zenon_H114. apply refl_equal. % 83.75/83.92 apply zenon_H114. apply refl_equal. % 83.75/83.92 apply zenon_H12b. apply sym_equal. exact zenon_H12a. % 83.75/83.92 apply zenon_H114. apply refl_equal. % 83.75/83.92 apply zenon_H114. apply refl_equal. % 83.75/83.92 (* end of lemma zenon_L855_ *) % 83.75/83.92 assert (zenon_L856_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H61f zenon_H130 zenon_H12f zenon_H61a zenon_H12a zenon_H11f. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ]. % 83.75/83.92 apply (zenon_L34_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ]. % 83.75/83.92 apply (zenon_L840_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ]. % 83.75/83.92 apply (zenon_L74_); trivial. % 83.75/83.92 apply (zenon_L855_); trivial. % 83.75/83.92 (* end of lemma zenon_L856_ *) % 83.75/83.92 assert (zenon_L857_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (e23)) = (e22)) -> (~((e22) = (e23))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H11f zenon_H61a zenon_H12f zenon_H61f zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H628 zenon_H130 zenon_H47f. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.75/83.92 apply (zenon_L52_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.75/83.92 apply (zenon_L529_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.75/83.92 apply (zenon_L856_); trivial. % 83.75/83.92 apply (zenon_L532_); trivial. % 83.75/83.92 (* end of lemma zenon_L857_ *) % 83.75/83.92 assert (zenon_L858_ : (~((op2 (e22) (e22)) = (op2 (op2 (e22) (e23)) (e22)))) -> ((op2 (e22) (e23)) = (e22)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H630 zenon_Hfd. % 83.75/83.92 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.92 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 83.75/83.92 congruence. % 83.75/83.92 apply zenon_H131. apply sym_equal. exact zenon_Hfd. % 83.75/83.92 apply zenon_Ha1. apply refl_equal. % 83.75/83.92 (* end of lemma zenon_L858_ *) % 83.75/83.92 assert (zenon_L859_ : ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H61a zenon_Hfd zenon_H12a zenon_Hf7. % 83.75/83.92 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hea ]. % 83.75/83.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_Hf7. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_He9. % 83.75/83.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 83.75/83.92 cut (((op2 (e22) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H631]. % 83.75/83.92 congruence. % 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (e23)) = ((op2 (e22) (e22)) = (op2 (e21) (e22)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H631. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H61a. % 83.75/83.92 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H632]. % 83.75/83.92 congruence. % 83.75/83.92 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hea ]. % 83.75/83.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e22) (e23)) (e22)) = (op2 (e22) (e22)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H632. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_He9. % 83.75/83.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 83.75/83.92 cut (((op2 (e22) (e22)) = (op2 (op2 (e22) (e23)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H630]. % 83.75/83.92 congruence. % 83.75/83.92 apply (zenon_L858_); trivial. % 83.75/83.92 apply zenon_Hea. apply refl_equal. % 83.75/83.92 apply zenon_Hea. apply refl_equal. % 83.75/83.92 apply zenon_H12b. apply sym_equal. exact zenon_H12a. % 83.75/83.92 apply zenon_Hea. apply refl_equal. % 83.75/83.92 apply zenon_Hea. apply refl_equal. % 83.75/83.92 (* end of lemma zenon_L859_ *) % 83.75/83.92 assert (zenon_L860_ : (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H633 zenon_H61a zenon_Hfc zenon_H47e. % 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (e23)) = ((op2 (e21) (e22)) = (op2 (e21) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H633. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H61a. % 83.75/83.92 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H577]. % 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62c]. % 83.75/83.92 congruence. % 83.75/83.92 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ]. % 83.75/83.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (op2 (e22) (e23)) (e22)) = (op2 (e21) (e22)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H62c. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H125. % 83.75/83.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 83.75/83.92 cut (((op2 (e21) (e22)) = (op2 (op2 (e22) (e23)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62b]. % 83.75/83.92 congruence. % 83.75/83.92 apply (zenon_L848_); trivial. % 83.75/83.92 apply zenon_Hfb. apply refl_equal. % 83.75/83.92 apply zenon_Hfb. apply refl_equal. % 83.75/83.92 apply zenon_H577. apply sym_equal. exact zenon_H47e. % 83.75/83.92 (* end of lemma zenon_L860_ *) % 83.75/83.92 assert (zenon_L861_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H47e zenon_H633 zenon_Hf7 zenon_H61a zenon_H12a zenon_H11f. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ]. % 83.75/83.92 apply (zenon_L34_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ]. % 83.75/83.92 apply (zenon_L860_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ]. % 83.75/83.92 apply (zenon_L859_); trivial. % 83.75/83.92 apply (zenon_L855_); trivial. % 83.75/83.92 (* end of lemma zenon_L861_ *) % 83.75/83.92 assert (zenon_L862_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H57a zenon_H63 zenon_H73 zenon_Hac zenon_H529 zenon_H4fc zenon_H57e zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H633 zenon_Hf7 zenon_H61a zenon_H12a zenon_H11f. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ]. % 83.75/83.92 apply (zenon_L26_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ]. % 83.75/83.92 apply (zenon_L691_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ]. % 83.75/83.92 apply (zenon_L692_); trivial. % 83.75/83.92 apply (zenon_L861_); trivial. % 83.75/83.92 (* end of lemma zenon_L862_ *) % 83.75/83.92 assert (zenon_L863_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H57f zenon_H47f zenon_H61f zenon_H12f zenon_H472 zenon_Hd6 zenon_H482 zenon_H57a zenon_H63 zenon_H73 zenon_Hac zenon_H529 zenon_H57e zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H633 zenon_Hf7 zenon_H61a zenon_H12a zenon_H11f. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.75/83.92 apply (zenon_L29_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.75/83.92 apply (zenon_L857_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.75/83.92 apply (zenon_L859_); trivial. % 83.75/83.92 apply (zenon_L862_); trivial. % 83.75/83.92 (* end of lemma zenon_L863_ *) % 83.75/83.92 assert (zenon_L864_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_Hce zenon_H11f zenon_H12a zenon_H61a zenon_Hf7 zenon_H633 zenon_H628 zenon_H57e zenon_H529 zenon_Hac zenon_H57a zenon_H482 zenon_Hd6 zenon_H472 zenon_H12f zenon_H61f zenon_H47f zenon_H57f zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.92 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.75/83.92 apply (zenon_L863_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.75/83.92 apply (zenon_L32_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.75/83.92 apply (zenon_L34_); trivial. % 83.75/83.92 apply (zenon_L36_); trivial. % 83.75/83.92 (* end of lemma zenon_L864_ *) % 83.75/83.92 assert (zenon_L865_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_Hac zenon_H529 zenon_H4fc zenon_H57e zenon_H633 zenon_H61a zenon_Hfc. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ]. % 83.75/83.92 apply (zenon_L32_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ]. % 83.75/83.92 apply (zenon_L691_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ]. % 83.75/83.92 apply (zenon_L692_); trivial. % 83.75/83.92 apply (zenon_L860_); trivial. % 83.75/83.92 (* end of lemma zenon_L865_ *) % 83.75/83.92 assert (zenon_L866_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H628 zenon_H91 zenon_H633 zenon_H57e zenon_H4fc zenon_H529 zenon_Hac zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H57a zenon_H61a zenon_H619 zenon_H51b zenon_H152. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ]. % 83.75/83.92 apply (zenon_L34_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ]. % 83.75/83.92 apply (zenon_L865_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ]. % 83.75/83.92 apply (zenon_L838_); trivial. % 83.75/83.92 apply (zenon_L607_); trivial. % 83.75/83.92 (* end of lemma zenon_L866_ *) % 83.75/83.92 assert (zenon_L867_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H94 zenon_H61f zenon_H12f zenon_H472 zenon_Hd6 zenon_H482 zenon_Hf7 zenon_H11f zenon_Hce zenon_H57f zenon_H47f zenon_H628 zenon_H91 zenon_H633 zenon_H57e zenon_H529 zenon_Hac zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H57a zenon_H61a zenon_H619 zenon_H51b zenon_H152. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.75/83.92 apply (zenon_L52_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.75/83.92 apply (zenon_L529_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.75/83.92 apply (zenon_L864_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.75/83.92 apply (zenon_L29_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.75/83.92 apply (zenon_L532_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.75/83.92 apply (zenon_L838_); trivial. % 83.75/83.92 apply (zenon_L866_); trivial. % 83.75/83.92 (* end of lemma zenon_L867_ *) % 83.75/83.92 assert (zenon_L868_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H140 zenon_H152 zenon_H51b zenon_H57a zenon_H529 zenon_H57e zenon_H633 zenon_H47f zenon_H57f zenon_Hf7 zenon_H482 zenon_Hd6 zenon_H472 zenon_H61f zenon_H11f zenon_H112 zenon_H50f zenon_H11e zenon_H584 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.92 apply (zenon_L867_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.92 apply (zenon_L852_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.92 apply (zenon_L71_); trivial. % 83.75/83.92 apply (zenon_L846_); trivial. % 83.75/83.92 (* end of lemma zenon_L868_ *) % 83.75/83.92 assert (zenon_L869_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_Hd2 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.92 apply (zenon_L52_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.92 apply (zenon_L536_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.92 apply (zenon_L71_); trivial. % 83.75/83.92 apply (zenon_L846_); trivial. % 83.75/83.92 (* end of lemma zenon_L869_ *) % 83.75/83.92 assert (zenon_L870_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H14f zenon_Had zenon_H21d zenon_H48b zenon_H140 zenon_Hd6 zenon_Hd5 zenon_H61f zenon_H11f zenon_H112 zenon_H50f zenon_H584 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.92 apply (zenon_L49_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.92 apply (zenon_L869_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.92 apply (zenon_L542_); trivial. % 83.75/83.92 apply (zenon_L854_); trivial. % 83.75/83.92 (* end of lemma zenon_L870_ *) % 83.75/83.92 assert (zenon_L871_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H628 zenon_H91 zenon_H633 zenon_H57e zenon_H4fc zenon_H529 zenon_Hac zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H57a zenon_H61a zenon_H619. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ]. % 83.75/83.92 apply (zenon_L34_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ]. % 83.75/83.92 apply (zenon_L865_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ]. % 83.75/83.92 apply (zenon_L838_); trivial. % 83.75/83.92 apply (zenon_L842_); trivial. % 83.75/83.92 (* end of lemma zenon_L871_ *) % 83.75/83.92 assert (zenon_L872_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e21) (e23)) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H57f zenon_H47f zenon_H47e zenon_H628 zenon_H91 zenon_H633 zenon_H57e zenon_H529 zenon_Hac zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H57a zenon_H61a zenon_H619. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.75/83.92 apply (zenon_L29_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.75/83.92 apply (zenon_L532_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.75/83.92 apply (zenon_L838_); trivial. % 83.75/83.92 apply (zenon_L871_); trivial. % 83.75/83.92 (* end of lemma zenon_L872_ *) % 83.75/83.92 assert (zenon_L873_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((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)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e21) = (e23))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H15b zenon_H57a zenon_H529 zenon_H57e zenon_H633 zenon_H47f zenon_H57f zenon_Hf7 zenon_H482 zenon_H472 zenon_H15c zenon_Hb2 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H628 zenon_H12f zenon_H61a zenon_H619 zenon_Hce zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_H584 zenon_H50f zenon_H112 zenon_H11f zenon_H61f zenon_H140 zenon_H48b zenon_Had zenon_H14f zenon_H21e zenon_H21d zenon_Hd6. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.92 apply (zenon_L41_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.75/83.92 apply (zenon_L870_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.75/83.92 apply (zenon_L529_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.75/83.92 apply (zenon_L864_); trivial. % 83.75/83.92 apply (zenon_L872_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.92 apply (zenon_L152_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.92 apply (zenon_L43_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.92 apply (zenon_L870_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.92 apply (zenon_L139_); trivial. % 83.75/83.92 apply (zenon_L88_); trivial. % 83.75/83.92 (* end of lemma zenon_L873_ *) % 83.75/83.92 assert (zenon_L874_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H15c zenon_Hb2 zenon_H51b zenon_H619 zenon_H61a zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_Hac zenon_H529 zenon_H57e zenon_H633 zenon_H91 zenon_H628 zenon_H47f zenon_H57f zenon_Hce zenon_H11f zenon_Hf7 zenon_H482 zenon_Hd6 zenon_H472 zenon_H12f zenon_H61f zenon_H94 zenon_H10b zenon_H21e. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.92 apply (zenon_L43_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.92 apply (zenon_L52_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.92 apply (zenon_L867_); trivial. % 83.75/83.92 apply (zenon_L630_); trivial. % 83.75/83.92 (* end of lemma zenon_L874_ *) % 83.75/83.92 assert (zenon_L875_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((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 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H140 zenon_H21e zenon_H10b zenon_H61f zenon_H472 zenon_Hd6 zenon_H482 zenon_Hf7 zenon_H11f zenon_H57f zenon_H47f zenon_H633 zenon_H57e zenon_H529 zenon_H57a zenon_H51b zenon_Hb2 zenon_H15c zenon_Had zenon_Hd2 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.92 apply (zenon_L874_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.92 apply (zenon_L536_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.92 apply (zenon_L71_); trivial. % 83.75/83.92 apply (zenon_L846_); trivial. % 83.75/83.92 (* end of lemma zenon_L875_ *) % 83.75/83.92 assert (zenon_L876_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((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)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H15b zenon_H21e zenon_Hd6 zenon_H14f zenon_H15c zenon_Hb2 zenon_H51b zenon_H57a zenon_H529 zenon_H57e zenon_H633 zenon_H47f zenon_H57f zenon_H11f zenon_H482 zenon_H472 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H628 zenon_H12f zenon_H61a zenon_H619 zenon_Hce zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_H61f zenon_H140 zenon_H13e zenon_H10b zenon_Had. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.92 apply (zenon_L41_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.92 apply (zenon_L874_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.92 apply (zenon_L43_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.92 apply (zenon_L49_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.92 apply (zenon_L875_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.92 apply (zenon_L52_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.92 apply (zenon_L844_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.92 apply (zenon_L71_); trivial. % 83.75/83.92 apply (zenon_L846_); trivial. % 83.75/83.92 apply (zenon_L648_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.92 apply (zenon_L83_); trivial. % 83.75/83.92 apply (zenon_L630_); trivial. % 83.75/83.92 apply (zenon_L64_); trivial. % 83.75/83.92 (* end of lemma zenon_L876_ *) % 83.75/83.92 assert (zenon_L877_ : ((~((op2 (e22) (op2 (e22) (e23))) = (e23)))/\(((op2 (op2 (e22) (e23)) (e22)) = (e23))/\(~((op2 (op2 (e22) (e23)) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((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)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H634 zenon_H48d zenon_Hd1 zenon_H554 zenon_H48b zenon_H112 zenon_H50f zenon_H584 zenon_H15b zenon_H21e zenon_Hd6 zenon_H14f zenon_H15c zenon_Hb2 zenon_H51b zenon_H57a zenon_H529 zenon_H57e zenon_H633 zenon_H47f zenon_H57f zenon_H11f zenon_H482 zenon_H472 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H628 zenon_H12f zenon_Hce zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_H140 zenon_H13e zenon_Had. % 83.75/83.92 apply (zenon_and_s _ _ zenon_H634). zenon_intro zenon_H619. zenon_intro zenon_H635. % 83.75/83.92 apply (zenon_and_s _ _ zenon_H635). zenon_intro zenon_H61a. zenon_intro zenon_H61f. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.92 apply (zenon_L40_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.92 apply (zenon_L41_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.92 apply (zenon_L42_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.92 apply (zenon_L853_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.92 apply (zenon_L43_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.92 apply (zenon_L49_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.92 apply (zenon_L50_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.92 apply (zenon_L847_); trivial. % 83.75/83.92 apply (zenon_L854_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.92 apply (zenon_L49_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.92 apply (zenon_L50_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.92 apply (zenon_L847_); trivial. % 83.75/83.92 apply (zenon_L868_); trivial. % 83.75/83.92 apply (zenon_L88_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.92 apply (zenon_L873_); trivial. % 83.75/83.92 apply (zenon_L876_); trivial. % 83.75/83.92 (* end of lemma zenon_L877_ *) % 83.75/83.92 assert (zenon_L878_ : (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> ((op2 (e23) (e20)) = (e20)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H636 zenon_H10b. % 83.75/83.92 cut (((op2 (e23) (e20)) = (e20)) = ((op2 (e23) (op2 (e23) (e20))) = (e20))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H636. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H10b. % 83.75/83.92 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.75/83.92 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H637]. % 83.75/83.92 congruence. % 83.75/83.92 elim (classic ((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (op2 (e23) (e20))))); [ zenon_intro zenon_H638 | zenon_intro zenon_H639 ]. % 83.75/83.92 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (op2 (e23) (e20)))) = ((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e20))))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H637. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H638. % 83.75/83.92 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H639]. % 83.75/83.92 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H63a]. % 83.75/83.92 congruence. % 83.75/83.92 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H5f1]. % 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.92 congruence. % 83.75/83.92 apply zenon_Hd8. apply refl_equal. % 83.75/83.92 exact (zenon_H5f1 zenon_H10b). % 83.75/83.92 apply zenon_H639. apply refl_equal. % 83.75/83.92 apply zenon_H639. apply refl_equal. % 83.75/83.92 apply zenon_H60. apply refl_equal. % 83.75/83.92 (* end of lemma zenon_L878_ *) % 83.75/83.92 assert (zenon_L879_ : ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H63b zenon_H159 zenon_H63 zenon_H94. % 83.75/83.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H523 | zenon_intro zenon_H63c ]. % 83.75/83.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H94. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H523. % 83.75/83.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63c]. % 83.75/83.92 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63d]. % 83.75/83.92 congruence. % 83.75/83.92 cut (((op2 (op2 (e23) (e20)) (e23)) = (e20)) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H63d. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H63b. % 83.75/83.92 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e2]. % 83.75/83.92 cut (((op2 (op2 (e23) (e20)) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63e]. % 83.75/83.92 congruence. % 83.75/83.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H523 | zenon_intro zenon_H63c ]. % 83.75/83.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e23) (e20)) (e23)) = (op2 (e23) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H63e. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H523. % 83.75/83.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63c]. % 83.75/83.92 cut (((op2 (e23) (e23)) = (op2 (op2 (e23) (e20)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63f]. % 83.75/83.92 congruence. % 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.92 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H535]. % 83.75/83.92 congruence. % 83.75/83.92 apply zenon_H535. apply sym_equal. exact zenon_H159. % 83.75/83.92 apply zenon_Hd8. apply refl_equal. % 83.75/83.92 apply zenon_H63c. apply refl_equal. % 83.75/83.92 apply zenon_H63c. apply refl_equal. % 83.75/83.92 apply zenon_H4e2. apply sym_equal. exact zenon_H63. % 83.75/83.92 apply zenon_H63c. apply refl_equal. % 83.75/83.92 apply zenon_H63c. apply refl_equal. % 83.75/83.92 (* end of lemma zenon_L879_ *) % 83.75/83.92 assert (zenon_L880_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H640 zenon_H636 zenon_H10e zenon_H13e zenon_H509 zenon_H78 zenon_H63b zenon_H63 zenon_H94. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H640); [ zenon_intro zenon_H10b | zenon_intro zenon_H641 ]. % 83.75/83.92 apply (zenon_L878_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H641); [ zenon_intro zenon_H10c | zenon_intro zenon_H642 ]. % 83.75/83.92 apply (zenon_L517_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H642); [ zenon_intro zenon_H508 | zenon_intro zenon_H159 ]. % 83.75/83.92 apply (zenon_L597_); trivial. % 83.75/83.92 apply (zenon_L879_); trivial. % 83.75/83.92 (* end of lemma zenon_L880_ *) % 83.75/83.92 assert (zenon_L881_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H141 zenon_H7a zenon_Hc3 zenon_Had zenon_Hd2 zenon_Hbb zenon_H48b zenon_H640 zenon_H636 zenon_H13e zenon_H509 zenon_H78 zenon_H63b zenon_H63 zenon_H94. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.92 apply (zenon_L76_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.92 apply (zenon_L536_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.92 apply (zenon_L591_); trivial. % 83.75/83.92 apply (zenon_L880_); trivial. % 83.75/83.92 (* end of lemma zenon_L881_ *) % 83.75/83.92 assert (zenon_L882_ : ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H63b zenon_H10c zenon_H63 zenon_H73. % 83.75/83.92 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H643 | zenon_intro zenon_H132 ]. % 83.75/83.92 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H73. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H643. % 83.75/83.92 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 83.75/83.92 cut (((op2 (e21) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H644]. % 83.75/83.92 congruence. % 83.75/83.92 cut (((op2 (op2 (e23) (e20)) (e23)) = (e20)) = ((op2 (e21) (e23)) = (op2 (e20) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H644. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H63b. % 83.75/83.92 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e2]. % 83.75/83.92 cut (((op2 (op2 (e23) (e20)) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H645]. % 83.75/83.92 congruence. % 83.75/83.92 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H643 | zenon_intro zenon_H132 ]. % 83.75/83.92 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (op2 (e23) (e20)) (e23)) = (op2 (e21) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H645. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H643. % 83.75/83.92 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 83.75/83.92 cut (((op2 (e21) (e23)) = (op2 (op2 (e23) (e20)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H646]. % 83.75/83.92 congruence. % 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.92 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H45c]. % 83.75/83.92 congruence. % 83.75/83.92 apply zenon_H45c. apply sym_equal. exact zenon_H10c. % 83.75/83.92 apply zenon_Hd8. apply refl_equal. % 83.75/83.92 apply zenon_H132. apply refl_equal. % 83.75/83.92 apply zenon_H132. apply refl_equal. % 83.75/83.92 apply zenon_H4e2. apply sym_equal. exact zenon_H63. % 83.75/83.92 apply zenon_H132. apply refl_equal. % 83.75/83.92 apply zenon_H132. apply refl_equal. % 83.75/83.92 (* end of lemma zenon_L882_ *) % 83.75/83.92 assert (zenon_L883_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H118 zenon_H10c zenon_H119. % 83.75/83.92 cut (((op2 (e23) (e20)) = (e21)) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H118. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H10c. % 83.75/83.92 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 83.75/83.92 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 83.75/83.92 congruence. % 83.75/83.92 apply zenon_Hbe. apply refl_equal. % 83.75/83.92 apply zenon_H11a. apply sym_equal. exact zenon_H119. % 83.75/83.92 (* end of lemma zenon_L883_ *) % 83.75/83.92 assert (zenon_L884_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H11b zenon_H73 zenon_Ha8 zenon_H10f zenon_H112 zenon_H7a zenon_H640 zenon_H636 zenon_H118 zenon_H509 zenon_H78 zenon_H63b zenon_H63 zenon_H94. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ]. % 83.75/83.92 apply (zenon_L882_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ]. % 83.75/83.92 apply (zenon_L65_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ]. % 83.75/83.92 apply (zenon_L66_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H640); [ zenon_intro zenon_H10b | zenon_intro zenon_H641 ]. % 83.75/83.92 apply (zenon_L878_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H641); [ zenon_intro zenon_H10c | zenon_intro zenon_H642 ]. % 83.75/83.92 apply (zenon_L883_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H642); [ zenon_intro zenon_H508 | zenon_intro zenon_H159 ]. % 83.75/83.92 apply (zenon_L597_); trivial. % 83.75/83.92 apply (zenon_L879_); trivial. % 83.75/83.92 (* end of lemma zenon_L884_ *) % 83.75/83.92 assert (zenon_L885_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (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 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H11b zenon_H73 zenon_Had zenon_H112 zenon_H7a zenon_H640 zenon_H11e zenon_H13e zenon_H118 zenon_H509 zenon_H78 zenon_H63b zenon_H63 zenon_H94. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ]. % 83.75/83.92 apply (zenon_L882_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ]. % 83.75/83.92 apply (zenon_L733_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ]. % 83.75/83.92 apply (zenon_L66_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H640); [ zenon_intro zenon_H10b | zenon_intro zenon_H641 ]. % 83.75/83.92 apply (zenon_L648_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H641); [ zenon_intro zenon_H10c | zenon_intro zenon_H642 ]. % 83.75/83.92 apply (zenon_L883_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H642); [ zenon_intro zenon_H508 | zenon_intro zenon_H159 ]. % 83.75/83.92 apply (zenon_L597_); trivial. % 83.75/83.92 apply (zenon_L879_); trivial. % 83.75/83.92 (* end of lemma zenon_L885_ *) % 83.75/83.92 assert (zenon_L886_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H78 zenon_H94 zenon_H21e zenon_Hd6 zenon_Hb2 zenon_H5d zenon_H7a zenon_H15c zenon_Had zenon_H21d zenon_H63b zenon_H63 zenon_H73. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.92 apply (zenon_L41_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.92 apply (zenon_L43_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.92 apply (zenon_L52_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.92 apply (zenon_L139_); trivial. % 83.75/83.92 apply (zenon_L879_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.92 apply (zenon_L152_); trivial. % 83.75/83.92 apply (zenon_L882_); trivial. % 83.75/83.92 (* end of lemma zenon_L886_ *) % 83.75/83.92 assert (zenon_L887_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H48d zenon_H14f zenon_H8a zenon_H48b zenon_H133 zenon_Ha3 zenon_Hc3 zenon_H141 zenon_H11b zenon_H112 zenon_H640 zenon_H13e zenon_H118 zenon_H509 zenon_H73 zenon_H63 zenon_H63b zenon_Had zenon_H15c zenon_H7a zenon_H5d zenon_Hb2 zenon_Hd6 zenon_H21e zenon_H94 zenon_H78 zenon_Ha8 zenon_H15b zenon_H636. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.92 apply (zenon_L40_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.92 apply (zenon_L41_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.92 apply (zenon_L42_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.92 apply (zenon_L48_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.92 apply (zenon_L881_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.92 apply (zenon_L76_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.92 apply (zenon_L63_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.92 apply (zenon_L54_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.92 apply (zenon_L58_); trivial. % 83.75/83.92 apply (zenon_L884_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.92 apply (zenon_L591_); trivial. % 83.75/83.92 apply (zenon_L880_); trivial. % 83.75/83.92 apply (zenon_L885_); trivial. % 83.75/83.92 apply (zenon_L882_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.92 apply (zenon_L886_); trivial. % 83.75/83.92 apply (zenon_L878_); trivial. % 83.75/83.92 (* end of lemma zenon_L887_ *) % 83.75/83.92 assert (zenon_L888_ : ((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\(((op2 (op2 (e23) (e20)) (e23)) = (e20))/\(~((op2 (op2 (e23) (e20)) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((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)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (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)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H647 zenon_Hce zenon_H15b zenon_Ha8 zenon_H21e zenon_Hd6 zenon_Hb2 zenon_H15c zenon_Had zenon_H509 zenon_H118 zenon_H13e zenon_H640 zenon_H112 zenon_H11b zenon_H141 zenon_Hc3 zenon_Ha3 zenon_H133 zenon_H48b zenon_H14f zenon_H48d zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.92 apply (zenon_and_s _ _ zenon_H647). zenon_intro zenon_H636. zenon_intro zenon_H648. % 83.75/83.92 apply (zenon_and_s _ _ zenon_H648). zenon_intro zenon_H63b. zenon_intro zenon_H649. % 83.75/83.92 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.75/83.92 apply (zenon_L887_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.75/83.92 apply (zenon_L32_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.75/83.92 apply (zenon_L34_); trivial. % 83.75/83.92 apply (zenon_L36_); trivial. % 83.75/83.92 (* end of lemma zenon_L888_ *) % 83.75/83.92 assert (zenon_L889_ : ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H5d zenon_H7a zenon_H11e zenon_H64a. % 83.75/83.92 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ]. % 83.75/83.92 cut (((e23) = (e23)) = ((op2 (op2 (e23) (e21)) (e21)) = (e23))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H64a. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_Hd7. % 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.92 cut (((e23) = (op2 (op2 (e23) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H64b]. % 83.75/83.92 congruence. % 83.75/83.92 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((e23) = (op2 (op2 (e23) (e21)) (e21)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H64b. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H5d. % 83.75/83.92 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (op2 (e23) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H64c]. % 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.92 congruence. % 83.75/83.92 apply zenon_Hd8. apply refl_equal. % 83.75/83.92 cut (((op2 (e20) (op2 (e20) (e20))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 83.75/83.92 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53e]. % 83.75/83.92 congruence. % 83.75/83.92 apply zenon_H53e. apply sym_equal. exact zenon_H11e. % 83.75/83.92 apply zenon_H88. apply sym_equal. exact zenon_H7a. % 83.75/83.92 apply zenon_Hd8. apply refl_equal. % 83.75/83.92 apply zenon_Hd8. apply refl_equal. % 83.75/83.92 (* end of lemma zenon_L889_ *) % 83.75/83.92 assert (zenon_L890_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> (~((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 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H134 zenon_Had zenon_H10c zenon_H64a zenon_H120 zenon_H11f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.75/83.92 apply (zenon_L64_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.75/83.92 apply (zenon_L889_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.75/83.92 apply (zenon_L70_); trivial. % 83.75/83.92 apply (zenon_L36_); trivial. % 83.75/83.92 (* end of lemma zenon_L890_ *) % 83.75/83.92 assert (zenon_L891_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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 (op2 (e23) (e21)) (e21)) = (e23))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H12c zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H11f zenon_H64a zenon_H10c zenon_Had zenon_H134 zenon_H124 zenon_H78 zenon_H7a zenon_Hf9 zenon_Hf7 zenon_H129 zenon_Hd5. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H120 | zenon_intro zenon_H12d ]. % 83.75/83.92 apply (zenon_L890_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H123 | zenon_intro zenon_H12e ]. % 83.75/83.92 apply (zenon_L71_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H12a ]. % 83.75/83.92 apply (zenon_L59_); trivial. % 83.75/83.92 apply (zenon_L72_); trivial. % 83.75/83.92 (* end of lemma zenon_L891_ *) % 83.75/83.92 assert (zenon_L892_ : (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e23) (e21)) = (e21)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H64d zenon_H10e. % 83.75/83.92 cut (((op2 (e23) (e21)) = (e21)) = ((op2 (e23) (op2 (e23) (e21))) = (e21))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H64d. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H10e. % 83.75/83.92 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.92 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5f6]. % 83.75/83.92 congruence. % 83.75/83.92 elim (classic ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21))))); [ zenon_intro zenon_H64e | zenon_intro zenon_H64f ]. % 83.75/83.92 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21)))) = ((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e21))))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H5f6. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H64e. % 83.75/83.92 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H64f]. % 83.75/83.92 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H650]. % 83.75/83.92 congruence. % 83.75/83.92 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H5a4]. % 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.92 congruence. % 83.75/83.92 apply zenon_Hd8. apply refl_equal. % 83.75/83.92 exact (zenon_H5a4 zenon_H10e). % 83.75/83.92 apply zenon_H64f. apply refl_equal. % 83.75/83.92 apply zenon_H64f. apply refl_equal. % 83.75/83.92 apply zenon_Haf. apply refl_equal. % 83.75/83.92 (* end of lemma zenon_L892_ *) % 83.75/83.92 assert (zenon_L893_ : (~((op2 (e22) (e23)) = (op2 (op2 (e23) (e21)) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H651 zenon_H10f. % 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.92 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H652]. % 83.75/83.92 congruence. % 83.75/83.92 apply zenon_H652. apply sym_equal. exact zenon_H10f. % 83.75/83.92 apply zenon_Hd8. apply refl_equal. % 83.75/83.92 (* end of lemma zenon_L893_ *) % 83.75/83.92 assert (zenon_L894_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (e23)) = (e21)) -> False). % 83.75/83.92 do 0 intro. intros zenon_H653 zenon_H654 zenon_H10f zenon_H119. % 83.75/83.92 cut (((op2 (op2 (e23) (e21)) (e23)) = (e21)) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H653. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H654. % 83.75/83.92 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 83.75/83.92 cut (((op2 (op2 (e23) (e21)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H655]. % 83.75/83.92 congruence. % 83.75/83.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (op2 (e23) (e21)) (e23)) = (op2 (e22) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H655. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H4df. % 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (e21)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H651]. % 83.75/83.92 congruence. % 83.75/83.92 apply (zenon_L893_); trivial. % 83.75/83.92 apply zenon_H4e0. apply refl_equal. % 83.75/83.92 apply zenon_H4e0. apply refl_equal. % 83.75/83.92 apply zenon_H11a. apply sym_equal. exact zenon_H119. % 83.75/83.92 (* end of lemma zenon_L894_ *) % 83.75/83.92 assert (zenon_L895_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H119 zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ]. % 83.75/83.92 apply (zenon_L745_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ]. % 83.75/83.92 apply (zenon_L892_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ]. % 83.75/83.92 apply (zenon_L894_); trivial. % 83.75/83.92 apply (zenon_L601_); trivial. % 83.75/83.92 (* end of lemma zenon_L895_ *) % 83.75/83.92 assert (zenon_L896_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (op2 (e23) (e21)) (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 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H11b zenon_Hd5 zenon_H129 zenon_Hf7 zenon_Hf9 zenon_H124 zenon_H134 zenon_Had zenon_H64a zenon_H11f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H8a zenon_H12c zenon_H112 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ]. % 83.75/83.92 apply (zenon_L891_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ]. % 83.75/83.92 apply (zenon_L892_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ]. % 83.75/83.92 apply (zenon_L66_); trivial. % 83.75/83.92 apply (zenon_L895_); trivial. % 83.75/83.92 (* end of lemma zenon_L896_ *) % 83.75/83.92 assert (zenon_L897_ : ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H654 zenon_H10f zenon_H13c zenon_H12f. % 83.75/83.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H12f. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H4df. % 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H656]. % 83.75/83.92 congruence. % 83.75/83.92 cut (((op2 (op2 (e23) (e21)) (e23)) = (e21)) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H656. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H654. % 83.75/83.92 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H570]. % 83.75/83.92 cut (((op2 (op2 (e23) (e21)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H655]. % 83.75/83.92 congruence. % 83.75/83.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (op2 (e23) (e21)) (e23)) = (op2 (e22) (e23)))). % 83.75/83.92 intro zenon_D_pnotp. % 83.75/83.92 apply zenon_H655. % 83.75/83.92 rewrite <- zenon_D_pnotp. % 83.75/83.92 exact zenon_H4df. % 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (e21)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H651]. % 83.75/83.92 congruence. % 83.75/83.92 apply (zenon_L893_); trivial. % 83.75/83.92 apply zenon_H4e0. apply refl_equal. % 83.75/83.92 apply zenon_H4e0. apply refl_equal. % 83.75/83.92 apply zenon_H570. apply sym_equal. exact zenon_H13c. % 83.75/83.92 apply zenon_H4e0. apply refl_equal. % 83.75/83.92 apply zenon_H4e0. apply refl_equal. % 83.75/83.92 (* end of lemma zenon_L897_ *) % 83.75/83.92 assert (zenon_L898_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((e21) = (e22))) -> ((op2 (e22) (e23)) = (e22)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.92 do 0 intro. intros zenon_H657 zenon_H7c zenon_H78 zenon_H12f zenon_H10f zenon_Ha8 zenon_Hfd zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H657); [ zenon_intro zenon_H7b | zenon_intro zenon_H658 ]. % 83.75/83.92 apply (zenon_L28_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H658); [ zenon_intro zenon_H13c | zenon_intro zenon_H659 ]. % 83.75/83.92 apply (zenon_L897_); trivial. % 83.75/83.92 apply (zenon_or_s _ _ zenon_H659); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 83.75/83.92 apply (zenon_L60_); trivial. % 83.75/83.92 apply (zenon_L895_); trivial. % 83.75/83.92 (* end of lemma zenon_L898_ *) % 83.75/83.92 assert (zenon_L899_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (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 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((e21) = (e22))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_Hff zenon_Hef zenon_Ha3 zenon_H112 zenon_H12c zenon_H8a zenon_H82 zenon_H94 zenon_H8e zenon_H11f zenon_H64a zenon_Had zenon_H134 zenon_H124 zenon_Hf7 zenon_H129 zenon_Hd5 zenon_H11b zenon_H657 zenon_H7c zenon_H78 zenon_H12f zenon_H10f zenon_Ha8 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.75/83.93 apply (zenon_L57_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.75/83.93 apply (zenon_L58_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.75/83.93 apply (zenon_L896_); trivial. % 83.75/83.93 apply (zenon_L898_); trivial. % 83.75/83.93 (* end of lemma zenon_L899_ *) % 83.75/83.93 assert (zenon_L900_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H515 zenon_H64a zenon_H64d zenon_H12f zenon_H13c zenon_H654 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ]. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ]. % 83.75/83.93 apply (zenon_L892_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ]. % 83.75/83.93 apply (zenon_L897_); trivial. % 83.75/83.93 apply (zenon_L601_); trivial. % 83.75/83.93 (* end of lemma zenon_L900_ *) % 83.75/83.93 assert (zenon_L901_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (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 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_H653 zenon_He4 zenon_H49b zenon_Ha8 zenon_H7c zenon_H657 zenon_H11b zenon_Hd5 zenon_H129 zenon_Hf7 zenon_H134 zenon_Had zenon_H11f zenon_H8e zenon_H94 zenon_H82 zenon_H8a zenon_H12c zenon_H112 zenon_Ha3 zenon_Hef zenon_Hff zenon_Hb2 zenon_H133 zenon_H124 zenon_H78 zenon_H515 zenon_H64a zenon_H64d zenon_H12f zenon_H654 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.93 apply (zenon_L52_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.93 apply (zenon_L63_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.93 apply (zenon_L54_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.93 apply (zenon_L58_); trivial. % 83.75/83.93 apply (zenon_L899_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.93 apply (zenon_L71_); trivial. % 83.75/83.93 apply (zenon_L900_); trivial. % 83.75/83.93 (* end of lemma zenon_L901_ *) % 83.75/83.93 assert (zenon_L902_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H141 zenon_H78 zenon_H7a zenon_Hc3 zenon_Had zenon_Hd2 zenon_Hbb zenon_H48b zenon_H64d. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.93 apply (zenon_L76_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.93 apply (zenon_L536_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.93 apply (zenon_L591_); trivial. % 83.75/83.93 apply (zenon_L892_); trivial. % 83.75/83.93 (* end of lemma zenon_L902_ *) % 83.75/83.93 assert (zenon_L903_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H11b zenon_Hd6 zenon_H159 zenon_H112 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ]. % 83.75/83.93 apply (zenon_L88_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ]. % 83.75/83.93 apply (zenon_L892_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ]. % 83.75/83.93 apply (zenon_L66_); trivial. % 83.75/83.93 apply (zenon_L895_); trivial. % 83.75/83.93 (* end of lemma zenon_L903_ *) % 83.75/83.93 assert (zenon_L904_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H48b zenon_Hbb zenon_Had zenon_Hc3 zenon_H141 zenon_H511 zenon_H653 zenon_H654 zenon_H64d zenon_H49b zenon_H515 zenon_H78 zenon_H112 zenon_H159 zenon_Hd6 zenon_H11b zenon_H5d zenon_H7a zenon_H64a. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.93 apply (zenon_L49_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.93 apply (zenon_L902_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.93 apply (zenon_L903_); trivial. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 (* end of lemma zenon_L904_ *) % 83.75/83.93 assert (zenon_L905_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H15c zenon_H140 zenon_Ha8 zenon_H657 zenon_H129 zenon_Hf7 zenon_H134 zenon_H11f zenon_H12c zenon_Ha3 zenon_Hef zenon_Hff zenon_Hb2 zenon_H133 zenon_H124 zenon_H12f zenon_Hd1 zenon_Hab zenon_H14f zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H48b zenon_Hbb zenon_Had zenon_Hc3 zenon_H141 zenon_H511 zenon_H653 zenon_H654 zenon_H64d zenon_H49b zenon_H515 zenon_H78 zenon_H112 zenon_Hd6 zenon_H11b zenon_H5d zenon_H7a zenon_H64a. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.93 apply (zenon_L43_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.93 apply (zenon_L49_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.93 apply (zenon_L50_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.93 apply (zenon_L901_); trivial. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.93 apply (zenon_L83_); trivial. % 83.75/83.93 apply (zenon_L904_); trivial. % 83.75/83.93 (* end of lemma zenon_L905_ *) % 83.75/83.93 assert (zenon_L906_ : ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H654 zenon_H10f zenon_He5 zenon_H579. % 83.75/83.93 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))). % 83.75/83.93 intro zenon_D_pnotp. % 83.75/83.93 apply zenon_H579. % 83.75/83.93 rewrite <- zenon_D_pnotp. % 83.75/83.93 exact zenon_H4df. % 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H65a]. % 83.75/83.93 congruence. % 83.75/83.93 cut (((op2 (op2 (e23) (e21)) (e23)) = (e21)) = ((op2 (e22) (e23)) = (op2 (e22) (e21)))). % 83.75/83.93 intro zenon_D_pnotp. % 83.75/83.93 apply zenon_H65a. % 83.75/83.93 rewrite <- zenon_D_pnotp. % 83.75/83.93 exact zenon_H654. % 83.75/83.93 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a0]. % 83.75/83.93 cut (((op2 (op2 (e23) (e21)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H655]. % 83.75/83.93 congruence. % 83.75/83.93 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (op2 (e23) (e21)) (e23)) = (op2 (e22) (e23)))). % 83.75/83.93 intro zenon_D_pnotp. % 83.75/83.93 apply zenon_H655. % 83.75/83.93 rewrite <- zenon_D_pnotp. % 83.75/83.93 exact zenon_H4df. % 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (e21)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H651]. % 83.75/83.93 congruence. % 83.75/83.93 apply (zenon_L893_); trivial. % 83.75/83.93 apply zenon_H4e0. apply refl_equal. % 83.75/83.93 apply zenon_H4e0. apply refl_equal. % 83.75/83.93 apply zenon_H4a0. apply sym_equal. exact zenon_He5. % 83.75/83.93 apply zenon_H4e0. apply refl_equal. % 83.75/83.93 apply zenon_H4e0. apply refl_equal. % 83.75/83.93 (* end of lemma zenon_L906_ *) % 83.75/83.93 assert (zenon_L907_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H515 zenon_H64a zenon_H64d zenon_H579 zenon_He5 zenon_H654 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ]. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ]. % 83.75/83.93 apply (zenon_L892_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ]. % 83.75/83.93 apply (zenon_L906_); trivial. % 83.75/83.93 apply (zenon_L601_); trivial. % 83.75/83.93 (* end of lemma zenon_L907_ *) % 83.75/83.93 assert (zenon_L908_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.93 do 0 intro. intros zenon_H141 zenon_H78 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H511 zenon_H7a zenon_H5d zenon_H654 zenon_H579 zenon_H64d zenon_H64a zenon_H515 zenon_H13e zenon_H10c. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.93 apply (zenon_L76_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.93 apply (zenon_L536_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.93 apply (zenon_L907_); trivial. % 83.75/83.93 apply (zenon_L517_); trivial. % 83.75/83.93 (* end of lemma zenon_L908_ *) % 83.75/83.93 assert (zenon_L909_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (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)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((e21) = (e22))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_Hff zenon_Hef zenon_H8a zenon_H82 zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_H124 zenon_Hf7 zenon_H129 zenon_Hd5 zenon_Ha3 zenon_H10c zenon_Had zenon_H134 zenon_H657 zenon_H7c zenon_H78 zenon_H12f zenon_H10f zenon_Ha8 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ]. % 83.75/83.93 apply (zenon_L57_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ]. % 83.75/83.93 apply (zenon_L58_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 83.75/83.93 apply (zenon_L527_); trivial. % 83.75/83.93 apply (zenon_L898_); trivial. % 83.75/83.93 (* end of lemma zenon_L909_ *) % 83.75/83.93 assert (zenon_L910_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (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)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H91 zenon_H73 zenon_Hce zenon_H13e zenon_H579 zenon_Hc3 zenon_H141 zenon_H511 zenon_H654 zenon_H12f zenon_H64d zenon_H515 zenon_H78 zenon_H124 zenon_H133 zenon_Hb2 zenon_Hff zenon_Hef zenon_H8a zenon_H82 zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_Hf7 zenon_H129 zenon_Hd5 zenon_Ha3 zenon_H10c zenon_Had zenon_H134 zenon_H657 zenon_H7c zenon_Ha8 zenon_H49b zenon_H653 zenon_Hab zenon_H140 zenon_H5d zenon_H7a zenon_H64a. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.93 apply (zenon_L49_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.93 apply (zenon_L908_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.93 apply (zenon_L42_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.93 apply (zenon_L63_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.93 apply (zenon_L54_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.93 apply (zenon_L58_); trivial. % 83.75/83.93 apply (zenon_L909_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.93 apply (zenon_L71_); trivial. % 83.75/83.93 apply (zenon_L900_); trivial. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 (* end of lemma zenon_L910_ *) % 83.75/83.93 assert (zenon_L911_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> (~((e21) = (e22))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_He1 zenon_H102 zenon_Hd6 zenon_H152 zenon_H579 zenon_H654 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_H78 zenon_H155 zenon_Ha8. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.93 apply (zenon_L63_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.93 apply (zenon_L54_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.93 apply (zenon_L58_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.93 apply (zenon_L83_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.93 apply (zenon_L906_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.93 apply (zenon_L56_); trivial. % 83.75/83.93 apply (zenon_L86_); trivial. % 83.75/83.93 (* end of lemma zenon_L911_ *) % 83.75/83.93 assert (zenon_L912_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H515 zenon_H49b zenon_He4 zenon_H10c zenon_H13e zenon_H12f zenon_H13c zenon_H654 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ]. % 83.75/83.93 apply (zenon_L745_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ]. % 83.75/83.93 apply (zenon_L517_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ]. % 83.75/83.93 apply (zenon_L897_); trivial. % 83.75/83.93 apply (zenon_L601_); trivial. % 83.75/83.93 (* end of lemma zenon_L912_ *) % 83.75/83.93 assert (zenon_L913_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H141 zenon_H78 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H511 zenon_H7a zenon_H5d zenon_H654 zenon_H579 zenon_H64a zenon_H515 zenon_H64d. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.93 apply (zenon_L76_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.93 apply (zenon_L536_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.93 apply (zenon_L907_); trivial. % 83.75/83.93 apply (zenon_L892_); trivial. % 83.75/83.93 (* end of lemma zenon_L913_ *) % 83.75/83.93 assert (zenon_L914_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H64d zenon_H515 zenon_H579 zenon_H654 zenon_H511 zenon_Had zenon_Hc3 zenon_H78 zenon_H141 zenon_H21d zenon_H48b zenon_H5d zenon_H7a zenon_H64a. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.93 apply (zenon_L49_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.93 apply (zenon_L913_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.93 apply (zenon_L542_); trivial. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 (* end of lemma zenon_L914_ *) % 83.75/83.93 assert (zenon_L915_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H11b zenon_Had zenon_H112 zenon_H78 zenon_H515 zenon_H10b zenon_H13e zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ]. % 83.75/83.93 apply (zenon_L64_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ]. % 83.75/83.93 apply (zenon_L892_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ]. % 83.75/83.93 apply (zenon_L66_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ]. % 83.75/83.93 apply (zenon_L648_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ]. % 83.75/83.93 apply (zenon_L892_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ]. % 83.75/83.93 apply (zenon_L894_); trivial. % 83.75/83.93 apply (zenon_L601_); trivial. % 83.75/83.93 (* end of lemma zenon_L915_ *) % 83.75/83.93 assert (zenon_L916_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (op2 (e20) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H45f zenon_H45b zenon_Hbc zenon_H15c zenon_H140 zenon_Ha8 zenon_H657 zenon_H129 zenon_Hf7 zenon_H134 zenon_H11f zenon_H12c zenon_Ha3 zenon_Hef zenon_Hff zenon_Hb2 zenon_H133 zenon_H124 zenon_H12f zenon_Hd1 zenon_Hab zenon_H14f zenon_H8a zenon_H82 zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H48b zenon_Had zenon_Hc3 zenon_H141 zenon_H511 zenon_H653 zenon_H654 zenon_H64d zenon_H49b zenon_H515 zenon_H112 zenon_Hd6 zenon_H11b zenon_H5d zenon_H64a zenon_H15b zenon_H7a zenon_H78 zenon_H7c. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ]. % 83.75/83.93 apply (zenon_L41_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ]. % 83.75/83.93 apply (zenon_L76_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ]. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.93 apply (zenon_L41_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.93 apply (zenon_L42_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.93 apply (zenon_L905_); trivial. % 83.75/83.93 apply (zenon_L510_); trivial. % 83.75/83.93 apply (zenon_L28_); trivial. % 83.75/83.93 (* end of lemma zenon_L916_ *) % 83.75/83.93 assert (zenon_L917_ : (((op2 (e23) (e20)) = (op2 (e20) (e23)))/\((~((op2 (e20) (op2 (e20) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e23))) = (e23))))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H5c1 zenon_H134 zenon_H511 zenon_H653 zenon_H654 zenon_H64d zenon_H13e zenon_H515 zenon_H112 zenon_Had zenon_H11b zenon_H64a zenon_H91 zenon_H73 zenon_H462 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.93 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.75/83.93 apply (zenon_L915_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.75/83.93 apply (zenon_L513_); trivial. % 83.75/83.93 apply (zenon_L36_); trivial. % 83.75/83.93 (* end of lemma zenon_L917_ *) % 83.75/83.93 assert (zenon_L918_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e20) (e21)) = (op2 (e21) (e20))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H64d zenon_H515 zenon_H579 zenon_H654 zenon_H511 zenon_Had zenon_Hc3 zenon_H78 zenon_H141 zenon_H467 zenon_Hab zenon_H466 zenon_H5d zenon_H7a zenon_H64a. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.93 apply (zenon_L49_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.93 apply (zenon_L913_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.93 apply (zenon_L521_); trivial. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 (* end of lemma zenon_L918_ *) % 83.75/83.93 assert (zenon_L919_ : (((op2 (e20) (e21)) = (op2 (e21) (e20)))/\((~((op2 (e20) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e20))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (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) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H5c4 zenon_H48d zenon_Ha3 zenon_H466 zenon_H64a zenon_H48b zenon_H141 zenon_Hc3 zenon_H579 zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H8a zenon_H14f zenon_H11b zenon_Had zenon_H112 zenon_H78 zenon_H515 zenon_H13e zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.93 apply (zenon_L40_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.93 apply (zenon_L918_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.93 apply (zenon_L914_); trivial. % 83.75/83.93 apply (zenon_L915_); trivial. % 83.75/83.93 (* end of lemma zenon_L919_ *) % 83.75/83.93 assert (zenon_L920_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (op2 (e21) (e21))) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H140 zenon_Had zenon_Hab zenon_H46d zenon_H124 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H10c zenon_H13e zenon_H12f zenon_H654 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.93 apply (zenon_L42_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.93 apply (zenon_L524_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.93 apply (zenon_L71_); trivial. % 83.75/83.93 apply (zenon_L912_); trivial. % 83.75/83.93 (* end of lemma zenon_L920_ *) % 83.75/83.93 assert (zenon_L921_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (op2 (e21) (e21))) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H64d zenon_H579 zenon_Hc3 zenon_H141 zenon_H511 zenon_H654 zenon_H12f zenon_H13e zenon_H10c zenon_H49b zenon_H515 zenon_H78 zenon_H124 zenon_H46d zenon_Hab zenon_Had zenon_H140 zenon_H5d zenon_H7a zenon_H64a. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.93 apply (zenon_L49_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.93 apply (zenon_L908_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.93 apply (zenon_L920_); trivial. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 (* end of lemma zenon_L921_ *) % 83.75/83.93 assert (zenon_L922_ : (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> ((op2 (e22) (e21)) = (op2 (e21) (e22))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> False). % 83.75/83.93 do 0 intro. intros zenon_H64a zenon_H485 zenon_H10f zenon_H12a. % 83.75/83.93 cut (((op2 (e22) (e21)) = (op2 (e21) (e22))) = ((op2 (op2 (e23) (e21)) (e21)) = (e23))). % 83.75/83.93 intro zenon_D_pnotp. % 83.75/83.93 apply zenon_H64a. % 83.75/83.93 rewrite <- zenon_D_pnotp. % 83.75/83.93 exact zenon_H485. % 83.75/83.93 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H479]. % 83.75/83.93 cut (((op2 (e22) (e21)) = (op2 (op2 (e23) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H65b]. % 83.75/83.93 congruence. % 83.75/83.93 elim (classic ((op2 (op2 (e23) (e21)) (e21)) = (op2 (op2 (e23) (e21)) (e21)))); [ zenon_intro zenon_H65c | zenon_intro zenon_H65d ]. % 83.75/83.93 cut (((op2 (op2 (e23) (e21)) (e21)) = (op2 (op2 (e23) (e21)) (e21))) = ((op2 (e22) (e21)) = (op2 (op2 (e23) (e21)) (e21)))). % 83.75/83.93 intro zenon_D_pnotp. % 83.75/83.93 apply zenon_H65b. % 83.75/83.93 rewrite <- zenon_D_pnotp. % 83.75/83.93 exact zenon_H65c. % 83.75/83.93 cut (((op2 (op2 (e23) (e21)) (e21)) = (op2 (op2 (e23) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H65d]. % 83.75/83.93 cut (((op2 (op2 (e23) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H65e]. % 83.75/83.93 congruence. % 83.75/83.93 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.93 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 83.75/83.93 congruence. % 83.75/83.93 exact (zenon_H110 zenon_H10f). % 83.75/83.93 apply zenon_Haf. apply refl_equal. % 83.75/83.93 apply zenon_H65d. apply refl_equal. % 83.75/83.93 apply zenon_H65d. apply refl_equal. % 83.75/83.93 exact (zenon_H479 zenon_H12a). % 83.75/83.93 (* end of lemma zenon_L922_ *) % 83.75/83.93 assert (zenon_L923_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e21) (e23))) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H140 zenon_Hab zenon_Ha8 zenon_H497 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_H579 zenon_H152 zenon_Hd6 zenon_H102 zenon_Hb2 zenon_H133 zenon_Had zenon_Hf7 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H10c zenon_H13e zenon_H12f zenon_H654 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.93 apply (zenon_L42_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.93 apply (zenon_L53_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.93 apply (zenon_L54_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.93 apply (zenon_L516_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.93 apply (zenon_L63_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.93 apply (zenon_L54_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.93 apply (zenon_L58_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.93 apply (zenon_L83_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.93 apply (zenon_L906_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.93 apply (zenon_L56_); trivial. % 83.75/83.93 apply (zenon_L547_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.93 apply (zenon_L71_); trivial. % 83.75/83.93 apply (zenon_L912_); trivial. % 83.75/83.93 (* end of lemma zenon_L923_ *) % 83.75/83.93 assert (zenon_L924_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (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)) = (op2 (e22) (e21))) -> (~((e20) = (e22))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H140 zenon_Hab zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H11f zenon_H4b9 zenon_Ha3 zenon_Had zenon_H134 zenon_Ha8 zenon_Hb2 zenon_H133 zenon_H124 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H10c zenon_H13e zenon_H12f zenon_H654 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.93 apply (zenon_L42_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.93 apply (zenon_L560_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.93 apply (zenon_L71_); trivial. % 83.75/83.93 apply (zenon_L912_); trivial. % 83.75/83.93 (* end of lemma zenon_L924_ *) % 83.75/83.93 assert (zenon_L925_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H140 zenon_Had zenon_Hab zenon_Ha8 zenon_H4c7 zenon_He4 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_H579 zenon_H152 zenon_Hd6 zenon_H102 zenon_Hb2 zenon_H133 zenon_H124 zenon_H78 zenon_H515 zenon_H64a zenon_H64d zenon_H12f zenon_H654 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.93 apply (zenon_L42_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.93 apply (zenon_L63_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.93 apply (zenon_L54_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.93 apply (zenon_L58_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.93 apply (zenon_L83_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.93 apply (zenon_L906_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.93 apply (zenon_L56_); trivial. % 83.75/83.93 apply (zenon_L567_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.93 apply (zenon_L71_); trivial. % 83.75/83.93 apply (zenon_L900_); trivial. % 83.75/83.93 (* end of lemma zenon_L925_ *) % 83.75/83.93 assert (zenon_L926_ : (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e22) (e23)) = (e21)) -> False). % 83.75/83.93 do 0 intro. intros zenon_H64d zenon_H4de zenon_H10f zenon_Hfc. % 83.75/83.93 cut (((op2 (e23) (e22)) = (op2 (e22) (e23))) = ((op2 (e23) (op2 (e23) (e21))) = (e21))). % 83.75/83.93 intro zenon_D_pnotp. % 83.75/83.93 apply zenon_H64d. % 83.75/83.93 rewrite <- zenon_D_pnotp. % 83.75/83.93 exact zenon_H4de. % 83.75/83.93 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H624]. % 83.75/83.93 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H65f]. % 83.75/83.93 congruence. % 83.75/83.93 elim (classic ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21))))); [ zenon_intro zenon_H64e | zenon_intro zenon_H64f ]. % 83.75/83.93 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21)))) = ((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e21))))). % 83.75/83.93 intro zenon_D_pnotp. % 83.75/83.93 apply zenon_H65f. % 83.75/83.93 rewrite <- zenon_D_pnotp. % 83.75/83.93 exact zenon_H64e. % 83.75/83.93 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H64f]. % 83.75/83.93 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H660]. % 83.75/83.93 congruence. % 83.75/83.93 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 83.75/83.93 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.93 congruence. % 83.75/83.93 apply zenon_Hd8. apply refl_equal. % 83.75/83.93 exact (zenon_H110 zenon_H10f). % 83.75/83.93 apply zenon_H64f. apply refl_equal. % 83.75/83.93 apply zenon_H64f. apply refl_equal. % 83.75/83.93 exact (zenon_H624 zenon_Hfc). % 83.75/83.93 (* end of lemma zenon_L926_ *) % 83.75/83.93 assert (zenon_L927_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H515 zenon_H64a zenon_H10c zenon_H13e zenon_Hfc zenon_H4de zenon_H64d zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ]. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ]. % 83.75/83.93 apply (zenon_L517_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ]. % 83.75/83.93 apply (zenon_L926_); trivial. % 83.75/83.93 apply (zenon_L601_); trivial. % 83.75/83.93 (* end of lemma zenon_L927_ *) % 83.75/83.93 assert (zenon_L928_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.93 do 0 intro. intros zenon_H657 zenon_H7c zenon_H78 zenon_H654 zenon_H12f zenon_He4 zenon_H49b zenon_H511 zenon_H7a zenon_H5d zenon_H64d zenon_H4de zenon_H13e zenon_H64a zenon_H515 zenon_H118 zenon_H10c. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H657); [ zenon_intro zenon_H7b | zenon_intro zenon_H658 ]. % 83.75/83.93 apply (zenon_L28_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H658); [ zenon_intro zenon_H13c | zenon_intro zenon_H659 ]. % 83.75/83.93 apply (zenon_L912_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H659); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 83.75/83.93 apply (zenon_L927_); trivial. % 83.75/83.93 apply (zenon_L883_); trivial. % 83.75/83.93 (* end of lemma zenon_L928_ *) % 83.75/83.93 assert (zenon_L929_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H8a zenon_H63 zenon_H579 zenon_Had zenon_Hc3 zenon_H141 zenon_H10c zenon_H118 zenon_H515 zenon_H13e zenon_H4de zenon_H64d zenon_H511 zenon_H49b zenon_H12f zenon_H654 zenon_H78 zenon_H7c zenon_H657 zenon_H5d zenon_H7a zenon_H64a. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.93 apply (zenon_L48_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.93 apply (zenon_L908_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.93 apply (zenon_L928_); trivial. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 (* end of lemma zenon_L929_ *) % 83.75/83.93 assert (zenon_L930_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H11b zenon_H64a zenon_H657 zenon_H7c zenon_H12f zenon_H4de zenon_H13e zenon_H118 zenon_H141 zenon_Hc3 zenon_Had zenon_H579 zenon_H63 zenon_H8a zenon_H14f zenon_H112 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ]. % 83.75/83.93 apply (zenon_L929_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ]. % 83.75/83.93 apply (zenon_L892_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ]. % 83.75/83.93 apply (zenon_L66_); trivial. % 83.75/83.93 apply (zenon_L895_); trivial. % 83.75/83.93 (* end of lemma zenon_L930_ *) % 83.75/83.93 assert (zenon_L931_ : (((op2 (e23) (e22)) = (op2 (e22) (e23)))/\((~((op2 (e20) (op2 (e22) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e23))) = (e23))))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (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 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H4e4 zenon_H8a zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H11b zenon_H657 zenon_H12f zenon_H13e zenon_H118 zenon_H141 zenon_Hc3 zenon_Had zenon_H579 zenon_H14f zenon_H112 zenon_H515 zenon_H49b zenon_H64d zenon_H654 zenon_H653 zenon_H511 zenon_Hce zenon_H5d zenon_H7a zenon_H64a. % 83.75/83.93 apply (zenon_and_s _ _ zenon_H4e4). zenon_intro zenon_H4de. zenon_intro zenon_H4e5. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.93 apply (zenon_L49_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.93 apply (zenon_L913_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.93 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.75/83.93 apply (zenon_L930_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.75/83.93 apply (zenon_L32_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.75/83.93 apply (zenon_L34_); trivial. % 83.75/83.93 apply (zenon_L36_); trivial. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 (* end of lemma zenon_L931_ *) % 83.75/83.93 assert (zenon_L932_ : (((op2 (e20) (e23)) = (op2 (e23) (e20)))/\((~((op2 (e20) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e20))) = (e23))))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H4e7 zenon_H134 zenon_H511 zenon_H653 zenon_H654 zenon_H64d zenon_H13e zenon_H515 zenon_H112 zenon_Had zenon_H11b zenon_H64a zenon_H91 zenon_H73 zenon_H462 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.93 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4e6. zenon_intro zenon_H4e8. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.75/83.93 apply (zenon_L915_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.75/83.93 apply (zenon_L577_); trivial. % 83.75/83.93 apply (zenon_L36_); trivial. % 83.75/83.93 (* end of lemma zenon_L932_ *) % 83.75/83.93 assert (zenon_L933_ : (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e23) (e21))) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_Ha8 zenon_H4eb zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_H579 zenon_H15c zenon_H140 zenon_H657 zenon_H129 zenon_Hf7 zenon_H134 zenon_H11f zenon_H12c zenon_Hb2 zenon_H133 zenon_Hd1 zenon_Hab zenon_H14f zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H48b zenon_Had zenon_Hc3 zenon_H141 zenon_H653 zenon_H64d zenon_H112 zenon_Hd6 zenon_H11b zenon_H64a zenon_H102 zenon_H124 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H10c zenon_H13e zenon_H12f zenon_H654 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.93 apply (zenon_L42_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.93 apply (zenon_L63_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.93 apply (zenon_L54_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.93 apply (zenon_L58_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ]. % 83.75/83.93 apply (zenon_L905_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ]. % 83.75/83.93 apply (zenon_L906_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ]. % 83.75/83.93 apply (zenon_L56_); trivial. % 83.75/83.93 apply (zenon_L583_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.93 apply (zenon_L71_); trivial. % 83.75/83.93 apply (zenon_L912_); trivial. % 83.75/83.93 (* end of lemma zenon_L933_ *) % 83.75/83.93 assert (zenon_L934_ : ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H4f7 zenon_Hfc zenon_H10f zenon_H64d. % 83.75/83.93 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ]. % 83.75/83.93 cut (((e21) = (e21)) = ((op2 (e23) (op2 (e23) (e21))) = (e21))). % 83.75/83.93 intro zenon_D_pnotp. % 83.75/83.93 apply zenon_H64d. % 83.75/83.93 rewrite <- zenon_D_pnotp. % 83.75/83.93 exact zenon_Hae. % 83.75/83.93 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 83.75/83.93 cut (((e21) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H661]. % 83.75/83.93 congruence. % 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (e23) (e22))) = ((e21) = (op2 (e23) (op2 (e23) (e21))))). % 83.75/83.93 intro zenon_D_pnotp. % 83.75/83.93 apply zenon_H661. % 83.75/83.93 rewrite <- zenon_D_pnotp. % 83.75/83.93 exact zenon_H4f7. % 83.75/83.93 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H65f]. % 83.75/83.93 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H624]. % 83.75/83.93 congruence. % 83.75/83.93 exact (zenon_H624 zenon_Hfc). % 83.75/83.93 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H652]. % 83.75/83.93 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.93 congruence. % 83.75/83.93 apply zenon_Hd8. apply refl_equal. % 83.75/83.93 apply zenon_H652. apply sym_equal. exact zenon_H10f. % 83.75/83.93 apply zenon_Haf. apply refl_equal. % 83.75/83.93 apply zenon_Haf. apply refl_equal. % 83.75/83.93 (* end of lemma zenon_L934_ *) % 83.75/83.93 assert (zenon_L935_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H515 zenon_H64a zenon_H10c zenon_H13e zenon_H64d zenon_Hfc zenon_H4f7 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ]. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ]. % 83.75/83.93 apply (zenon_L517_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ]. % 83.75/83.93 apply (zenon_L934_); trivial. % 83.75/83.93 apply (zenon_L601_); trivial. % 83.75/83.93 (* end of lemma zenon_L935_ *) % 83.75/83.93 assert (zenon_L936_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H657 zenon_H7c zenon_H78 zenon_H12f zenon_H4f7 zenon_H13e zenon_H10c zenon_H64a zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H657); [ zenon_intro zenon_H7b | zenon_intro zenon_H658 ]. % 83.75/83.93 apply (zenon_L28_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H658); [ zenon_intro zenon_H13c | zenon_intro zenon_H659 ]. % 83.75/83.93 apply (zenon_L900_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H659); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 83.75/83.93 apply (zenon_L935_); trivial. % 83.75/83.93 apply (zenon_L895_); trivial. % 83.75/83.93 (* end of lemma zenon_L936_ *) % 83.75/83.93 assert (zenon_L937_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H8a zenon_H63 zenon_H579 zenon_Had zenon_Hc3 zenon_H141 zenon_H511 zenon_H653 zenon_H654 zenon_H64d zenon_H49b zenon_H515 zenon_H10c zenon_H13e zenon_H4f7 zenon_H12f zenon_H78 zenon_H7c zenon_H657 zenon_H5d zenon_H7a zenon_H64a. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.93 apply (zenon_L48_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.93 apply (zenon_L908_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.93 apply (zenon_L936_); trivial. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 (* end of lemma zenon_L937_ *) % 83.75/83.93 assert (zenon_L938_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H11b zenon_H64a zenon_H657 zenon_H7c zenon_H12f zenon_H4f7 zenon_H13e zenon_H141 zenon_Hc3 zenon_Had zenon_H579 zenon_H63 zenon_H8a zenon_H14f zenon_H112 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ]. % 83.75/83.93 apply (zenon_L937_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ]. % 83.75/83.93 apply (zenon_L892_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ]. % 83.75/83.93 apply (zenon_L66_); trivial. % 83.75/83.93 apply (zenon_L895_); trivial. % 83.75/83.93 (* end of lemma zenon_L938_ *) % 83.75/83.93 assert (zenon_L939_ : (((op2 (e22) (e23)) = (op2 (e23) (e22)))/\((~((op2 (e20) (op2 (e23) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e22))) = (e23))))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (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 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False). % 83.75/83.93 do 0 intro. intros zenon_H4f9 zenon_H8a zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H11b zenon_H657 zenon_H12f zenon_H13e zenon_H141 zenon_Hc3 zenon_Had zenon_H579 zenon_H14f zenon_H112 zenon_H515 zenon_H49b zenon_H64d zenon_H654 zenon_H653 zenon_H511 zenon_Hce zenon_H5d zenon_H7a zenon_H64a. % 83.75/83.93 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H4f7. zenon_intro zenon_H4fa. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.93 apply (zenon_L49_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.93 apply (zenon_L913_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.93 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.75/83.93 apply (zenon_L938_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.75/83.93 apply (zenon_L32_); trivial. % 83.75/83.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.75/83.93 apply (zenon_L34_); trivial. % 83.75/83.93 apply (zenon_L36_); trivial. % 83.75/83.93 apply (zenon_L889_); trivial. % 83.75/83.93 (* end of lemma zenon_L939_ *) % 83.75/83.93 assert (zenon_L940_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H505 zenon_H8a zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H511 zenon_H7a zenon_H5d zenon_H653 zenon_H654 zenon_H64d zenon_He4 zenon_H49b zenon_H515 zenon_H130 zenon_H57e zenon_H501 zenon_H63. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H505); [ zenon_intro zenon_H95 | zenon_intro zenon_H506 ]. % 83.75/83.94 apply (zenon_L36_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H506); [ zenon_intro zenon_H119 | zenon_intro zenon_H507 ]. % 83.75/83.94 apply (zenon_L895_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H507); [ zenon_intro zenon_H4fc | zenon_intro zenon_H4ff ]. % 83.75/83.94 apply (zenon_L692_); trivial. % 83.75/83.94 apply (zenon_L595_); trivial. % 83.75/83.94 (* end of lemma zenon_L940_ *) % 83.75/83.94 assert (zenon_L941_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_Hce zenon_H501 zenon_H57e zenon_H130 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H511 zenon_H505 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.75/83.94 apply (zenon_L940_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.75/83.94 apply (zenon_L32_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.75/83.94 apply (zenon_L34_); trivial. % 83.75/83.94 apply (zenon_L36_); trivial. % 83.75/83.94 (* end of lemma zenon_L941_ *) % 83.75/83.94 assert (zenon_L942_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H142 zenon_Hdc zenon_He1 zenon_Ha8 zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_Had zenon_H152 zenon_Hd6 zenon_H102 zenon_Hce zenon_H501 zenon_H57e zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H511 zenon_H505 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.94 apply (zenon_L53_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.94 apply (zenon_L54_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.94 apply (zenon_L516_); trivial. % 83.75/83.94 apply (zenon_L941_); trivial. % 83.75/83.94 (* end of lemma zenon_L942_ *) % 83.75/83.94 assert (zenon_L943_ : ((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\(((op2 (op2 (e23) (e21)) (e23)) = (e21))/\(~((op2 (op2 (e23) (e21)) (e21)) = (e23))))) -> ((((op2 (e20) (e20)) = (op2 (e20) (e20)))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e20))) = (e23)))))))\/((((op2 (e21) (e20)) = (op2 (e20) (e21)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e21))) = (e23)))))))\/((((op2 (e22) (e20)) = (op2 (e20) (e22)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e22))) = (e23)))))))\/((((op2 (e23) (e20)) = (op2 (e20) (e23)))/\((~((op2 (e20) (op2 (e20) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e23))) = (e23)))))))\/((((op2 (e20) (e21)) = (op2 (e21) (e20)))/\((~((op2 (e20) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e20))) = (e23)))))))\/((((op2 (e21) (e21)) = (op2 (e21) (e21)))/\((~((op2 (e20) (op2 (e21) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e21))) = (e23)))))))\/((((op2 (e22) (e21)) = (op2 (e21) (e22)))/\((~((op2 (e20) (op2 (e21) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e22))) = (e23)))))))\/((((op2 (e23) (e21)) = (op2 (e21) (e23)))/\((~((op2 (e20) (op2 (e21) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e23))) = (e23)))))))\/((((op2 (e20) (e22)) = (op2 (e22) (e20)))/\((~((op2 (e20) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e20))) = (e23)))))))\/((((op2 (e21) (e22)) = (op2 (e22) (e21)))/\((~((op2 (e20) (op2 (e22) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e21))) = (e23)))))))\/((((op2 (e22) (e22)) = (op2 (e22) (e22)))/\((~((op2 (e20) (op2 (e22) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e22))) = (e23)))))))\/((((op2 (e23) (e22)) = (op2 (e22) (e23)))/\((~((op2 (e20) (op2 (e22) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e23))) = (e23)))))))\/((((op2 (e20) (e23)) = (op2 (e23) (e20)))/\((~((op2 (e20) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e20))) = (e23)))))))\/((((op2 (e21) (e23)) = (op2 (e23) (e21)))/\((~((op2 (e20) (op2 (e23) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e21))) = (e23)))))))\/((((op2 (e22) (e23)) = (op2 (e23) (e22)))/\((~((op2 (e20) (op2 (e23) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e22))) = (e23)))))))\/(((op2 (e23) (e23)) = (op2 (e23) (e23)))/\((~((op2 (e20) (op2 (e23) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))))))))))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (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)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (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) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H662 zenon_H5b3 zenon_Hc9 zenon_H45f zenon_Hbc zenon_H466 zenon_H47f zenon_H472 zenon_H482 zenon_H118 zenon_H462 zenon_H48d zenon_Hd6 zenon_H51e zenon_H51b zenon_H12f zenon_H49b zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_H102 zenon_H57e zenon_H505 zenon_H140 zenon_H133 zenon_Hb2 zenon_H12c zenon_H11f zenon_H129 zenon_H134 zenon_H657 zenon_H15c zenon_Hd1 zenon_H15b zenon_H48b zenon_H141 zenon_Hc3 zenon_H579 zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H8a zenon_H14f zenon_H11b zenon_Had zenon_H112 zenon_H78 zenon_H515 zenon_H13e zenon_H653 zenon_H5d zenon_H7a zenon_H511. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H662). zenon_intro zenon_H64d. zenon_intro zenon_H663. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H663). zenon_intro zenon_H654. zenon_intro zenon_H64a. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.94 apply (zenon_L40_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L42_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L905_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.94 apply (zenon_L910_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.94 apply (zenon_L49_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.94 apply (zenon_L908_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.94 apply (zenon_L42_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.94 apply (zenon_L911_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.94 apply (zenon_L71_); trivial. % 83.75/83.94 apply (zenon_L912_); trivial. % 83.75/83.94 apply (zenon_L889_); trivial. % 83.75/83.94 apply (zenon_L88_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.94 apply (zenon_L914_); trivial. % 83.75/83.94 apply (zenon_L915_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.75/83.94 apply (zenon_L509_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.94 apply (zenon_L40_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.94 apply (zenon_L916_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.94 apply (zenon_L914_); trivial. % 83.75/83.94 apply (zenon_L915_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.75/83.94 apply (zenon_L917_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.75/83.94 apply (zenon_L919_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.94 apply (zenon_L40_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L42_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L905_); trivial. % 83.75/83.94 apply (zenon_L921_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.94 apply (zenon_L914_); trivial. % 83.75/83.94 apply (zenon_L915_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H485. zenon_intro zenon_H48f. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.94 apply (zenon_L40_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L42_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L905_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.94 apply (zenon_L910_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.94 apply (zenon_L49_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.94 apply (zenon_L913_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.94 apply (zenon_L42_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.94 apply (zenon_L53_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.94 apply (zenon_L54_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.94 apply (zenon_L516_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ]. % 83.75/83.94 apply (zenon_L63_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ]. % 83.75/83.94 apply (zenon_L54_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ]. % 83.75/83.94 apply (zenon_L58_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ]. % 83.75/83.94 apply (zenon_L909_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ]. % 83.75/83.94 apply (zenon_L529_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ]. % 83.75/83.94 apply (zenon_L922_); trivial. % 83.75/83.94 apply (zenon_L532_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.94 apply (zenon_L71_); trivial. % 83.75/83.94 apply (zenon_L912_); trivial. % 83.75/83.94 apply (zenon_L889_); trivial. % 83.75/83.94 apply (zenon_L88_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.94 apply (zenon_L914_); trivial. % 83.75/83.94 apply (zenon_L915_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49c. zenon_intro zenon_H4a4. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H4a6. zenon_intro zenon_H4a5. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H4a8. zenon_intro zenon_H4a7. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H497. zenon_intro zenon_H4a9. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.94 apply (zenon_L40_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L42_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L905_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.94 apply (zenon_L910_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.94 apply (zenon_L49_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.94 apply (zenon_L908_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.94 apply (zenon_L923_); trivial. % 83.75/83.94 apply (zenon_L889_); trivial. % 83.75/83.94 apply (zenon_L88_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.94 apply (zenon_L914_); trivial. % 83.75/83.94 apply (zenon_L915_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H4af. zenon_intro zenon_H4b1. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H4ab. zenon_intro zenon_H4b2. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.94 apply (zenon_L40_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L42_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L905_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.94 apply (zenon_L910_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.94 apply (zenon_L553_); trivial. % 83.75/83.94 apply (zenon_L88_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.94 apply (zenon_L914_); trivial. % 83.75/83.94 apply (zenon_L915_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H4b9. zenon_intro zenon_H4c0. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.94 apply (zenon_L40_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L42_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L905_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.94 apply (zenon_L49_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.94 apply (zenon_L908_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.94 apply (zenon_L924_); trivial. % 83.75/83.94 apply (zenon_L889_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.94 apply (zenon_L914_); trivial. % 83.75/83.94 apply (zenon_L915_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_He9. zenon_intro zenon_H4d9. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H4d1. zenon_intro zenon_H4da. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H4dc. zenon_intro zenon_H4db. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4db). zenon_intro zenon_H4c7. zenon_intro zenon_H4dd. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.94 apply (zenon_L40_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L42_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L905_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.94 apply (zenon_L910_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.94 apply (zenon_L49_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.94 apply (zenon_L908_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.94 apply (zenon_L925_); trivial. % 83.75/83.94 apply (zenon_L889_); trivial. % 83.75/83.94 apply (zenon_L88_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.94 apply (zenon_L914_); trivial. % 83.75/83.94 apply (zenon_L915_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.75/83.94 apply (zenon_L931_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.75/83.94 apply (zenon_L932_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H4e9. zenon_intro zenon_H4f1. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H4f3. zenon_intro zenon_H4f2. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H4f5. zenon_intro zenon_H4f4. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H4eb. zenon_intro zenon_H4f6. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.94 apply (zenon_L40_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L42_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L905_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.94 apply (zenon_L49_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.94 apply (zenon_L908_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.94 apply (zenon_L933_); trivial. % 83.75/83.94 apply (zenon_L889_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.94 apply (zenon_L914_); trivial. % 83.75/83.94 apply (zenon_L915_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.75/83.94 apply (zenon_L939_); trivial. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H523. zenon_intro zenon_H522. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H522). zenon_intro zenon_H501. zenon_intro zenon_H524. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.75/83.94 apply (zenon_L40_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L42_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L905_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.94 apply (zenon_L910_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ]. % 83.75/83.94 apply (zenon_L49_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ]. % 83.75/83.94 apply (zenon_L610_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.94 apply (zenon_L42_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.94 apply (zenon_L942_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.94 apply (zenon_L71_); trivial. % 83.75/83.94 apply (zenon_L912_); trivial. % 83.75/83.94 apply (zenon_L889_); trivial. % 83.75/83.94 apply (zenon_L88_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.75/83.94 apply (zenon_L914_); trivial. % 83.75/83.94 apply (zenon_L915_); trivial. % 83.75/83.94 (* end of lemma zenon_L943_ *) % 83.75/83.94 assert (zenon_L944_ : (~((op2 (e20) (e23)) = (op2 (op2 (e23) (e22)) (e23)))) -> ((op2 (e23) (e22)) = (e20)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H664 zenon_H121. % 83.75/83.94 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.94 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 83.75/83.94 congruence. % 83.75/83.94 apply zenon_H122. apply sym_equal. exact zenon_H121. % 83.75/83.94 apply zenon_Hd8. apply refl_equal. % 83.75/83.94 (* end of lemma zenon_L944_ *) % 83.75/83.94 assert (zenon_L945_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e21) (e23)) = (e22)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H73 zenon_H665 zenon_H121 zenon_H130. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H73. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H665. % 83.75/83.94 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52a]. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H666]. % 83.75/83.94 congruence. % 83.75/83.94 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ]. % 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e20) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H666. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H7d. % 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H664]. % 83.75/83.94 congruence. % 83.75/83.94 apply (zenon_L944_); trivial. % 83.75/83.94 apply zenon_H76. apply refl_equal. % 83.75/83.94 apply zenon_H76. apply refl_equal. % 83.75/83.94 apply zenon_H52a. apply sym_equal. exact zenon_H130. % 83.75/83.94 (* end of lemma zenon_L945_ *) % 83.75/83.94 assert (zenon_L946_ : (~((op2 (e22) (e23)) = (op2 (op2 (e23) (e22)) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H667 zenon_H50d. % 83.75/83.94 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.94 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H50e]. % 83.75/83.94 congruence. % 83.75/83.94 apply zenon_H50e. apply sym_equal. exact zenon_H50d. % 83.75/83.94 apply zenon_Hd8. apply refl_equal. % 83.75/83.94 (* end of lemma zenon_L946_ *) % 83.75/83.94 assert (zenon_L947_ : ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H665 zenon_H50d zenon_H130 zenon_H12f. % 83.75/83.94 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H12f. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H4df. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H656]. % 83.75/83.94 congruence. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H656. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H665. % 83.75/83.94 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52a]. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H668]. % 83.75/83.94 congruence. % 83.75/83.94 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e22) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H668. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H4df. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H667]. % 83.75/83.94 congruence. % 83.75/83.94 apply (zenon_L946_); trivial. % 83.75/83.94 apply zenon_H4e0. apply refl_equal. % 83.75/83.94 apply zenon_H4e0. apply refl_equal. % 83.75/83.94 apply zenon_H52a. apply sym_equal. exact zenon_H130. % 83.75/83.94 apply zenon_H4e0. apply refl_equal. % 83.75/83.94 apply zenon_H4e0. apply refl_equal. % 83.75/83.94 (* end of lemma zenon_L947_ *) % 83.75/83.94 assert (zenon_L948_ : (~((op2 (e23) (e23)) = (op2 (op2 (e23) (e22)) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H669 zenon_H582. % 83.75/83.94 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.94 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H583]. % 83.75/83.94 congruence. % 83.75/83.94 apply zenon_H583. apply sym_equal. exact zenon_H582. % 83.75/83.94 apply zenon_Hd8. apply refl_equal. % 83.75/83.94 (* end of lemma zenon_L948_ *) % 83.75/83.94 assert (zenon_L949_ : ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H665 zenon_H582 zenon_H130 zenon_H57e. % 83.75/83.94 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H523 | zenon_intro zenon_H63c ]. % 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H57e. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H523. % 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63c]. % 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66a]. % 83.75/83.94 congruence. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e23) (e23)) = (op2 (e21) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H66a. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H665. % 83.75/83.94 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52a]. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66b]. % 83.75/83.94 congruence. % 83.75/83.94 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H523 | zenon_intro zenon_H63c ]. % 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e23) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H66b. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H523. % 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63c]. % 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H669]. % 83.75/83.94 congruence. % 83.75/83.94 apply (zenon_L948_); trivial. % 83.75/83.94 apply zenon_H63c. apply refl_equal. % 83.75/83.94 apply zenon_H63c. apply refl_equal. % 83.75/83.94 apply zenon_H52a. apply sym_equal. exact zenon_H130. % 83.75/83.94 apply zenon_H63c. apply refl_equal. % 83.75/83.94 apply zenon_H63c. apply refl_equal. % 83.75/83.94 (* end of lemma zenon_L949_ *) % 83.75/83.94 assert (zenon_L950_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H584 zenon_H73 zenon_H112 zenon_H78 zenon_H7a zenon_H12f zenon_H665 zenon_H130 zenon_H57e. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H121 | zenon_intro zenon_H585 ]. % 83.75/83.94 apply (zenon_L945_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H111 | zenon_intro zenon_H586 ]. % 83.75/83.94 apply (zenon_L66_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H586); [ zenon_intro zenon_H50d | zenon_intro zenon_H582 ]. % 83.75/83.94 apply (zenon_L947_); trivial. % 83.75/83.94 apply (zenon_L949_); trivial. % 83.75/83.94 (* end of lemma zenon_L950_ *) % 83.75/83.94 assert (zenon_L951_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H91 zenon_H665 zenon_H121 zenon_Hfd. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H91. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H665. % 83.75/83.94 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H666]. % 83.75/83.94 congruence. % 83.75/83.94 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ]. % 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e20) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H666. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H7d. % 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H664]. % 83.75/83.94 congruence. % 83.75/83.94 apply (zenon_L944_); trivial. % 83.75/83.94 apply zenon_H76. apply refl_equal. % 83.75/83.94 apply zenon_H76. apply refl_equal. % 83.75/83.94 apply zenon_H131. apply sym_equal. exact zenon_Hfd. % 83.75/83.94 (* end of lemma zenon_L951_ *) % 83.75/83.94 assert (zenon_L952_ : (~((op2 (e23) (op2 (e23) (e22))) = (e22))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H66c zenon_H665 zenon_H582. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e23) (op2 (e23) (e22))) = (e22))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H66c. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H665. % 83.75/83.94 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H66d]. % 83.75/83.94 congruence. % 83.75/83.94 elim (classic ((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (op2 (e23) (e22))))); [ zenon_intro zenon_H66e | zenon_intro zenon_H66f ]. % 83.75/83.94 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (op2 (e23) (e22)))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e23) (op2 (e23) (e22))))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H66d. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H66e. % 83.75/83.94 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H66f]. % 83.75/83.94 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H670]. % 83.75/83.94 congruence. % 83.75/83.94 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5f9]. % 83.75/83.94 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H583]. % 83.75/83.94 congruence. % 83.75/83.94 apply zenon_H583. apply sym_equal. exact zenon_H582. % 83.75/83.94 exact (zenon_H5f9 zenon_H582). % 83.75/83.94 apply zenon_H66f. apply refl_equal. % 83.75/83.94 apply zenon_H66f. apply refl_equal. % 83.75/83.94 apply zenon_Ha1. apply refl_equal. % 83.75/83.94 (* end of lemma zenon_L952_ *) % 83.75/83.94 assert (zenon_L953_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (op2 (e23) (e22))) = (e22))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H584 zenon_Hfd zenon_H91 zenon_H112 zenon_H78 zenon_H7a zenon_Hf8 zenon_H11f zenon_H66c zenon_H665. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H121 | zenon_intro zenon_H585 ]. % 83.75/83.94 apply (zenon_L951_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H111 | zenon_intro zenon_H586 ]. % 83.75/83.94 apply (zenon_L66_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H586); [ zenon_intro zenon_H50d | zenon_intro zenon_H582 ]. % 83.75/83.94 apply (zenon_L598_); trivial. % 83.75/83.94 apply (zenon_L952_); trivial. % 83.75/83.94 (* end of lemma zenon_L953_ *) % 83.75/83.94 assert (zenon_L954_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e23) (e23)) = (e22)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H94 zenon_H665 zenon_H121 zenon_H4fc. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H94. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H665. % 83.75/83.94 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fd]. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H666]. % 83.75/83.94 congruence. % 83.75/83.94 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ]. % 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e20) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H666. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H7d. % 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H664]. % 83.75/83.94 congruence. % 83.75/83.94 apply (zenon_L944_); trivial. % 83.75/83.94 apply zenon_H76. apply refl_equal. % 83.75/83.94 apply zenon_H76. apply refl_equal. % 83.75/83.94 apply zenon_H4fd. apply sym_equal. exact zenon_H4fc. % 83.75/83.94 (* end of lemma zenon_L954_ *) % 83.75/83.94 assert (zenon_L955_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e23) (e23)) = (e22)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H653 zenon_H665 zenon_H50d zenon_H4fc. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H653. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H665. % 83.75/83.94 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fd]. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H668]. % 83.75/83.94 congruence. % 83.75/83.94 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e22) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H668. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H4df. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H667]. % 83.75/83.94 congruence. % 83.75/83.94 apply (zenon_L946_); trivial. % 83.75/83.94 apply zenon_H4e0. apply refl_equal. % 83.75/83.94 apply zenon_H4e0. apply refl_equal. % 83.75/83.94 apply zenon_H4fd. apply sym_equal. exact zenon_H4fc. % 83.75/83.94 (* end of lemma zenon_L955_ *) % 83.75/83.94 assert (zenon_L956_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (op2 (e23) (e22))) = (e22))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H584 zenon_H94 zenon_H112 zenon_H78 zenon_H7a zenon_H4fc zenon_H653 zenon_H66c zenon_H665. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H121 | zenon_intro zenon_H585 ]. % 83.75/83.94 apply (zenon_L954_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H111 | zenon_intro zenon_H586 ]. % 83.75/83.94 apply (zenon_L66_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H586); [ zenon_intro zenon_H50d | zenon_intro zenon_H582 ]. % 83.75/83.94 apply (zenon_L955_); trivial. % 83.75/83.94 apply (zenon_L952_); trivial. % 83.75/83.94 (* end of lemma zenon_L956_ *) % 83.75/83.94 assert (zenon_L957_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (op2 (e23) (e22))) = (e22))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H57f zenon_H82 zenon_H57e zenon_H12f zenon_H73 zenon_H11f zenon_Hf8 zenon_H91 zenon_H584 zenon_H94 zenon_H112 zenon_H78 zenon_H7a zenon_H653 zenon_H66c zenon_H665. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.75/83.94 apply (zenon_L29_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.75/83.94 apply (zenon_L950_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.75/83.94 apply (zenon_L953_); trivial. % 83.75/83.94 apply (zenon_L956_); trivial. % 83.75/83.94 (* end of lemma zenon_L957_ *) % 83.75/83.94 assert (zenon_L958_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e20)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H57f zenon_H82 zenon_H57e zenon_H12f zenon_H7a zenon_H78 zenon_H112 zenon_H73 zenon_H584 zenon_H91 zenon_H94 zenon_H665 zenon_H121. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.75/83.94 apply (zenon_L29_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.75/83.94 apply (zenon_L950_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.75/83.94 apply (zenon_L951_); trivial. % 83.75/83.94 apply (zenon_L954_); trivial. % 83.75/83.94 (* end of lemma zenon_L958_ *) % 83.75/83.94 assert (zenon_L959_ : ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H665 zenon_H50d zenon_Hf9 zenon_H671. % 83.75/83.94 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H671. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H4df. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H672]. % 83.75/83.94 congruence. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e22) (e23)) = (op2 (e22) (e22)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H672. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H665. % 83.75/83.94 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H668]. % 83.75/83.94 congruence. % 83.75/83.94 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ]. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e22) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H668. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H4df. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H667]. % 83.75/83.94 congruence. % 83.75/83.94 apply (zenon_L946_); trivial. % 83.75/83.94 apply zenon_H4e0. apply refl_equal. % 83.75/83.94 apply zenon_H4e0. apply refl_equal. % 83.75/83.94 apply zenon_Hfa. apply sym_equal. exact zenon_Hf9. % 83.75/83.94 apply zenon_H4e0. apply refl_equal. % 83.75/83.94 apply zenon_H4e0. apply refl_equal. % 83.75/83.94 (* end of lemma zenon_L959_ *) % 83.75/83.94 assert (zenon_L960_ : ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H665 zenon_H582 zenon_Hfd zenon_H653. % 83.75/83.94 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H523 | zenon_intro zenon_H63c ]. % 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H653. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H523. % 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63c]. % 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H673]. % 83.75/83.94 congruence. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e23) (e23)) = (op2 (e22) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H673. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H665. % 83.75/83.94 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66b]. % 83.75/83.94 congruence. % 83.75/83.94 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H523 | zenon_intro zenon_H63c ]. % 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e23) (e23)))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H66b. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H523. % 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63c]. % 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H669]. % 83.75/83.94 congruence. % 83.75/83.94 apply (zenon_L948_); trivial. % 83.75/83.94 apply zenon_H63c. apply refl_equal. % 83.75/83.94 apply zenon_H63c. apply refl_equal. % 83.75/83.94 apply zenon_H131. apply sym_equal. exact zenon_Hfd. % 83.75/83.94 apply zenon_H63c. apply refl_equal. % 83.75/83.94 apply zenon_H63c. apply refl_equal. % 83.75/83.94 (* end of lemma zenon_L960_ *) % 83.75/83.94 assert (zenon_L961_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H94 zenon_H91 zenon_H584 zenon_H73 zenon_H12f zenon_H57e zenon_H82 zenon_H57f zenon_H112 zenon_H78 zenon_H7a zenon_H671 zenon_Hf9 zenon_H665 zenon_Hfd zenon_H653. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H121 | zenon_intro zenon_H585 ]. % 83.75/83.94 apply (zenon_L958_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H111 | zenon_intro zenon_H586 ]. % 83.75/83.94 apply (zenon_L66_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H586); [ zenon_intro zenon_H50d | zenon_intro zenon_H582 ]. % 83.75/83.94 apply (zenon_L959_); trivial. % 83.75/83.94 apply (zenon_L960_); trivial. % 83.75/83.94 (* end of lemma zenon_L961_ *) % 83.75/83.94 assert (zenon_L962_ : ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (op2 (e23) (e22))) = (e22))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> False). % 83.75/83.94 do 0 intro. intros zenon_Hf9 zenon_H671 zenon_H57f zenon_H82 zenon_H57e zenon_H12f zenon_H73 zenon_H91 zenon_H584 zenon_H94 zenon_H112 zenon_H78 zenon_H7a zenon_H653 zenon_H66c zenon_H665. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.75/83.94 apply (zenon_L29_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.75/83.94 apply (zenon_L950_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.75/83.94 apply (zenon_L961_); trivial. % 83.75/83.94 apply (zenon_L956_); trivial. % 83.75/83.94 (* end of lemma zenon_L962_ *) % 83.75/83.94 assert (zenon_L963_ : (~((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H674 zenon_H50d. % 83.75/83.94 cut (((op2 (e23) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H675]. % 83.75/83.94 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.94 congruence. % 83.75/83.94 apply zenon_Hd8. apply refl_equal. % 83.75/83.94 exact (zenon_H675 zenon_H50d). % 83.75/83.94 (* end of lemma zenon_L963_ *) % 83.75/83.94 assert (zenon_L964_ : (~((op2 (e23) (op2 (e23) (e22))) = (e22))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 83.75/83.94 do 0 intro. intros zenon_H66c zenon_H50d. % 83.75/83.94 cut (((op2 (e23) (e22)) = (e22)) = ((op2 (e23) (op2 (e23) (e22))) = (e22))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H66c. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H50d. % 83.75/83.94 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 83.75/83.94 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H676]. % 83.75/83.94 congruence. % 83.75/83.94 elim (classic ((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (op2 (e23) (e22))))); [ zenon_intro zenon_H66e | zenon_intro zenon_H66f ]. % 83.75/83.94 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (op2 (e23) (e22)))) = ((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e22))))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H676. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H66e. % 83.75/83.94 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H66f]. % 83.75/83.94 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H674]. % 83.75/83.94 congruence. % 83.75/83.94 apply (zenon_L963_); trivial. % 83.75/83.94 apply zenon_H66f. apply refl_equal. % 83.75/83.94 apply zenon_H66f. apply refl_equal. % 83.75/83.94 apply zenon_Ha1. apply refl_equal. % 83.75/83.94 (* end of lemma zenon_L964_ *) % 83.75/83.94 assert (zenon_L965_ : ((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(((op2 (op2 (e23) (e22)) (e23)) = (e22))/\(~((op2 (op2 (e23) (e22)) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H677 zenon_H563 zenon_H55b zenon_H11f zenon_H653 zenon_H7a zenon_H78 zenon_H112 zenon_H94 zenon_H584 zenon_H91 zenon_H73 zenon_H12f zenon_H57e zenon_H82 zenon_H57f zenon_H671. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H677). zenon_intro zenon_H66c. zenon_intro zenon_H678. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H678). zenon_intro zenon_H665. zenon_intro zenon_H679. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H55a | zenon_intro zenon_H564 ]. % 83.75/83.94 apply (zenon_L654_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H565 ]. % 83.75/83.94 apply (zenon_L957_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H565); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H50d ]. % 83.75/83.94 apply (zenon_L962_); trivial. % 83.75/83.94 apply (zenon_L964_); trivial. % 83.75/83.94 (* end of lemma zenon_L965_ *) % 83.75/83.94 assert (zenon_L966_ : ((~((op2 (e23) (op2 (e23) (e23))) = (e23)))/\(((op2 (op2 (e23) (e23)) (e23)) = (e23))/\(~((op2 (op2 (e23) (e23)) (e23)) = (e23))))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H67a. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H67a). zenon_intro zenon_H614. zenon_intro zenon_H67b. % 83.75/83.94 apply (zenon_and_s _ _ zenon_H67b). zenon_intro zenon_H67d. zenon_intro zenon_H67c. % 83.75/83.94 exact (zenon_H67c zenon_H67d). % 83.75/83.94 (* end of lemma zenon_L966_ *) % 83.75/83.94 assert (zenon_L967_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H1ee zenon_H1ff zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H16 zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H7a zenon_H1fd zenon_Hd2 zenon_H64 zenon_H67e zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H20a zenon_H16b zenon_H1b0 zenon_H45 zenon_H42 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.75/83.94 apply (zenon_L7_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.75/83.94 apply (zenon_L178_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.75/83.94 apply (zenon_L93_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.75/83.94 apply (zenon_L3_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.75/83.94 apply (zenon_L3_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ]. % 83.75/83.94 apply (zenon_L115_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ]. % 83.75/83.94 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H67e. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H64. % 83.75/83.94 cut (((e20) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H67f]. % 83.75/83.94 cut (((h1 (e10)) = (h1 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H680]. % 83.75/83.94 congruence. % 83.75/83.94 elim (classic ((h1 (op1 (e11) (e11))) = (h1 (op1 (e11) (e11))))); [ zenon_intro zenon_H681 | zenon_intro zenon_H682 ]. % 83.75/83.94 cut (((h1 (op1 (e11) (e11))) = (h1 (op1 (e11) (e11)))) = ((h1 (e10)) = (h1 (op1 (e11) (e11))))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H680. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H681. % 83.75/83.94 cut (((h1 (op1 (e11) (e11))) = (h1 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H682]. % 83.75/83.94 cut (((h1 (op1 (e11) (e11))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H683]. % 83.75/83.94 congruence. % 83.75/83.94 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H684]. % 83.75/83.94 congruence. % 83.75/83.94 exact (zenon_H684 zenon_H177). % 83.75/83.94 apply zenon_H682. apply refl_equal. % 83.75/83.94 apply zenon_H682. apply refl_equal. % 83.75/83.94 elim (classic ((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [ zenon_intro zenon_H685 | zenon_intro zenon_H686 ]. % 83.75/83.94 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11)))) = ((e20) = (op2 (h1 (e11)) (h1 (e11))))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H67f. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H685. % 83.75/83.94 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H686]. % 83.75/83.94 cut (((op2 (h1 (e11)) (h1 (e11))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H687]. % 83.75/83.94 congruence. % 83.75/83.94 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (h1 (e11)) (h1 (e11))) = (e20))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H687. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_Hd2. % 83.75/83.94 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.75/83.94 cut (((op2 (e21) (e21)) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H688]. % 83.75/83.94 congruence. % 83.75/83.94 elim (classic ((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [ zenon_intro zenon_H685 | zenon_intro zenon_H686 ]. % 83.75/83.94 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11)))) = ((op2 (e21) (e21)) = (op2 (h1 (e11)) (h1 (e11))))). % 83.75/83.94 intro zenon_D_pnotp. % 83.75/83.94 apply zenon_H688. % 83.75/83.94 rewrite <- zenon_D_pnotp. % 83.75/83.94 exact zenon_H685. % 83.75/83.94 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H686]. % 83.75/83.94 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H689]. % 83.75/83.94 congruence. % 83.75/83.94 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc]. % 83.75/83.94 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc]. % 83.75/83.94 congruence. % 83.75/83.94 apply (zenon_L130_); trivial. % 83.75/83.94 apply (zenon_L130_); trivial. % 83.75/83.94 apply zenon_H686. apply refl_equal. % 83.75/83.94 apply zenon_H686. apply refl_equal. % 83.75/83.94 apply zenon_H60. apply refl_equal. % 83.75/83.94 apply zenon_H686. apply refl_equal. % 83.75/83.94 apply zenon_H686. apply refl_equal. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ]. % 83.75/83.94 apply (zenon_L181_); trivial. % 83.75/83.94 apply (zenon_L13_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.75/83.94 apply (zenon_L131_); trivial. % 83.75/83.94 apply (zenon_L128_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.75/83.94 apply (zenon_L4_); trivial. % 83.75/83.94 apply (zenon_L5_); trivial. % 83.75/83.94 (* end of lemma zenon_L967_ *) % 83.75/83.94 assert (zenon_L968_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H67e zenon_H64 zenon_Hd2 zenon_H1fd zenon_H7a zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.94 apply (zenon_L11_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.94 apply (zenon_L20_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.94 apply (zenon_L22_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.94 apply (zenon_L11_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.94 apply (zenon_L129_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.94 apply (zenon_L967_); trivial. % 83.75/83.94 apply (zenon_L138_); trivial. % 83.75/83.94 (* end of lemma zenon_L968_ *) % 83.75/83.94 assert (zenon_L969_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H1fd zenon_H64 zenon_H67e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H1e0 zenon_H1e4 zenon_H1f4 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L151_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L152_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.94 apply (zenon_L82_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.94 apply (zenon_L968_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.94 apply (zenon_L543_); trivial. % 83.75/83.94 apply (zenon_L32_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.94 apply (zenon_L139_); trivial. % 83.75/83.94 apply (zenon_L88_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.94 apply (zenon_L46_); trivial. % 83.75/83.94 apply (zenon_L31_); trivial. % 83.75/83.94 (* end of lemma zenon_L969_ *) % 83.75/83.94 assert (zenon_L970_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H61 zenon_H220 zenon_H245 zenon_H249 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H67e zenon_H64 zenon_Hd2 zenon_H1fd zenon_H7a zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.94 apply (zenon_L11_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.94 apply (zenon_L20_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.94 apply (zenon_L22_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.94 apply (zenon_L11_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.94 apply (zenon_L154_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.94 apply (zenon_L967_); trivial. % 83.75/83.94 apply (zenon_L138_); trivial. % 83.75/83.94 (* end of lemma zenon_L970_ *) % 83.75/83.94 assert (zenon_L971_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H1fd zenon_H64 zenon_H67e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H249 zenon_H245 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L151_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L152_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.94 apply (zenon_L82_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.94 apply (zenon_L970_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.94 apply (zenon_L543_); trivial. % 83.75/83.94 apply (zenon_L32_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.94 apply (zenon_L139_); trivial. % 83.75/83.94 apply (zenon_L88_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.94 apply (zenon_L46_); trivial. % 83.75/83.94 apply (zenon_L31_); trivial. % 83.75/83.94 (* end of lemma zenon_L971_ *) % 83.75/83.94 assert (zenon_L972_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H252 zenon_H253 zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H67e zenon_H64 zenon_Hd2 zenon_H1fd zenon_H7a zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.94 apply (zenon_L11_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.94 apply (zenon_L20_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.94 apply (zenon_L22_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.94 apply (zenon_L11_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.94 apply (zenon_L164_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.94 apply (zenon_L967_); trivial. % 83.75/83.94 apply (zenon_L138_); trivial. % 83.75/83.94 (* end of lemma zenon_L972_ *) % 83.75/83.94 assert (zenon_L973_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H1fd zenon_H64 zenon_H67e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H25d zenon_H1e4 zenon_H229 zenon_H253 zenon_H252 zenon_H256 zenon_H25a zenon_H24d zenon_H1f4 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L151_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L152_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.94 apply (zenon_L82_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.94 apply (zenon_L972_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.94 apply (zenon_L543_); trivial. % 83.75/83.94 apply (zenon_L32_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.94 apply (zenon_L139_); trivial. % 83.75/83.94 apply (zenon_L88_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.94 apply (zenon_L46_); trivial. % 83.75/83.94 apply (zenon_L31_); trivial. % 83.75/83.94 (* end of lemma zenon_L973_ *) % 83.75/83.94 assert (zenon_L974_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H61 zenon_H220 zenon_H260 zenon_H230 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H67e zenon_H64 zenon_Hd2 zenon_H1fd zenon_H7a zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.94 apply (zenon_L11_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.94 apply (zenon_L20_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.94 apply (zenon_L22_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.94 apply (zenon_L11_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.94 apply (zenon_L167_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.94 apply (zenon_L967_); trivial. % 83.75/83.94 apply (zenon_L138_); trivial. % 83.75/83.94 (* end of lemma zenon_L974_ *) % 83.75/83.94 assert (zenon_L975_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.94 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H1fd zenon_H64 zenon_H67e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H230 zenon_H260 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.94 apply (zenon_L41_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.94 apply (zenon_L151_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.94 apply (zenon_L152_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.94 apply (zenon_L43_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.94 apply (zenon_L82_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.94 apply (zenon_L974_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.94 apply (zenon_L543_); trivial. % 83.75/83.94 apply (zenon_L32_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.94 apply (zenon_L139_); trivial. % 83.75/83.94 apply (zenon_L88_); trivial. % 83.75/83.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.94 apply (zenon_L46_); trivial. % 83.75/83.94 apply (zenon_L31_); trivial. % 83.75/83.94 (* end of lemma zenon_L975_ *) % 83.75/83.94 assert (zenon_L976_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.95 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f4 zenon_H266 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H67e zenon_H64 zenon_Hd2 zenon_H1fd zenon_H7a zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.95 apply (zenon_L11_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.95 apply (zenon_L20_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.95 apply (zenon_L22_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.95 apply (zenon_L11_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.95 apply (zenon_L171_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.95 apply (zenon_L967_); trivial. % 83.75/83.95 apply (zenon_L138_); trivial. % 83.75/83.95 (* end of lemma zenon_L976_ *) % 83.75/83.95 assert (zenon_L977_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.95 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H1fd zenon_H64 zenon_H67e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H266 zenon_H1f4 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.95 apply (zenon_L41_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.95 apply (zenon_L151_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.95 apply (zenon_L152_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.95 apply (zenon_L43_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.95 apply (zenon_L43_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.95 apply (zenon_L82_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.95 apply (zenon_L976_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.95 apply (zenon_L543_); trivial. % 83.75/83.95 apply (zenon_L32_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.95 apply (zenon_L139_); trivial. % 83.75/83.95 apply (zenon_L88_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.95 apply (zenon_L46_); trivial. % 83.75/83.95 apply (zenon_L31_); trivial. % 83.75/83.95 (* end of lemma zenon_L977_ *) % 83.75/83.95 assert (zenon_L978_ : (~((h1 (e12)) = (e22))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> False). % 83.75/83.95 do 0 intro. intros zenon_H68a zenon_H68b zenon_H78. % 83.75/83.95 cut (((h1 (e12)) = (op2 (e20) (e20))) = ((h1 (e12)) = (e22))). % 83.75/83.95 intro zenon_D_pnotp. % 83.75/83.95 apply zenon_H68a. % 83.75/83.95 rewrite <- zenon_D_pnotp. % 83.75/83.95 exact zenon_H68b. % 83.75/83.95 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 83.75/83.95 cut (((h1 (e12)) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H68c]. % 83.75/83.95 congruence. % 83.75/83.95 apply zenon_H68c. apply refl_equal. % 83.75/83.95 apply zenon_H79. apply sym_equal. exact zenon_H78. % 83.75/83.95 (* end of lemma zenon_L978_ *) % 83.75/83.95 assert (zenon_L979_ : (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((op1 (e11) (e12)) = (e12)) -> ((op2 (e21) (e22)) = (e22)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> False). % 83.75/83.95 do 0 intro. intros zenon_H68d zenon_H1a6 zenon_Hf8 zenon_H1fd zenon_H7a zenon_H68b zenon_H78. % 83.75/83.95 cut (((h1 (e12)) = (op2 (e20) (e20))) = ((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))). % 83.75/83.95 intro zenon_D_pnotp. % 83.75/83.95 apply zenon_H68d. % 83.75/83.95 rewrite <- zenon_D_pnotp. % 83.75/83.95 exact zenon_H68b. % 83.75/83.95 cut (((op2 (e20) (e20)) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H68e]. % 83.75/83.95 cut (((h1 (e12)) = (h1 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H68f]. % 83.75/83.95 congruence. % 83.75/83.95 elim (classic ((h1 (op1 (e11) (e12))) = (h1 (op1 (e11) (e12))))); [ zenon_intro zenon_H690 | zenon_intro zenon_H691 ]. % 83.75/83.95 cut (((h1 (op1 (e11) (e12))) = (h1 (op1 (e11) (e12)))) = ((h1 (e12)) = (h1 (op1 (e11) (e12))))). % 83.75/83.95 intro zenon_D_pnotp. % 83.75/83.95 apply zenon_H68f. % 83.75/83.95 rewrite <- zenon_D_pnotp. % 83.75/83.95 exact zenon_H690. % 83.75/83.95 cut (((h1 (op1 (e11) (e12))) = (h1 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H691]. % 83.75/83.95 cut (((h1 (op1 (e11) (e12))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H692]. % 83.75/83.95 congruence. % 83.75/83.95 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2a3]. % 83.75/83.95 congruence. % 83.75/83.95 exact (zenon_H2a3 zenon_H1a6). % 83.75/83.95 apply zenon_H691. apply refl_equal. % 83.75/83.95 apply zenon_H691. apply refl_equal. % 83.75/83.95 elim (classic ((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [ zenon_intro zenon_H693 | zenon_intro zenon_H694 ]. % 83.75/83.95 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12)))) = ((op2 (e20) (e20)) = (op2 (h1 (e11)) (h1 (e12))))). % 83.75/83.95 intro zenon_D_pnotp. % 83.75/83.95 apply zenon_H68e. % 83.75/83.95 rewrite <- zenon_D_pnotp. % 83.75/83.95 exact zenon_H693. % 83.75/83.95 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H694]. % 83.75/83.95 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H695]. % 83.75/83.95 congruence. % 83.75/83.95 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (h1 (e11)) (h1 (e12))) = (op2 (e20) (e20)))). % 83.75/83.95 intro zenon_D_pnotp. % 83.75/83.95 apply zenon_H695. % 83.75/83.95 rewrite <- zenon_D_pnotp. % 83.75/83.95 exact zenon_Hf8. % 83.75/83.95 cut (((e22) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H696]. % 83.75/83.95 cut (((op2 (e21) (e22)) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H697]. % 83.75/83.95 congruence. % 83.75/83.95 elim (classic ((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [ zenon_intro zenon_H693 | zenon_intro zenon_H694 ]. % 83.75/83.95 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12)))) = ((op2 (e21) (e22)) = (op2 (h1 (e11)) (h1 (e12))))). % 83.75/83.95 intro zenon_D_pnotp. % 83.75/83.95 apply zenon_H697. % 83.75/83.95 rewrite <- zenon_D_pnotp. % 83.75/83.95 exact zenon_H693. % 83.75/83.95 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H694]. % 83.75/83.95 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H698]. % 83.75/83.95 congruence. % 83.75/83.95 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a]. % 83.75/83.95 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc]. % 83.75/83.95 congruence. % 83.75/83.95 apply (zenon_L130_); trivial. % 83.75/83.95 apply (zenon_L978_); trivial. % 83.75/83.95 apply zenon_H694. apply refl_equal. % 83.75/83.95 apply zenon_H694. apply refl_equal. % 83.75/83.95 exact (zenon_H696 zenon_H78). % 83.75/83.95 apply zenon_H694. apply refl_equal. % 83.75/83.95 apply zenon_H694. apply refl_equal. % 83.75/83.95 (* end of lemma zenon_L979_ *) % 83.75/83.95 assert (zenon_L980_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((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)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.95 do 0 intro. intros zenon_H173 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H1ee zenon_H20d zenon_H1ff zenon_H200 zenon_H256 zenon_H42 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1c2 zenon_H163 zenon_H1b0 zenon_H1d8 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_Hf8 zenon_H68d zenon_H1a9 zenon_H16 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.75/83.95 apply (zenon_L3_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.75/83.95 apply (zenon_L3_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.75/83.95 apply (zenon_L21_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.75/83.95 apply (zenon_L181_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.75/83.95 apply (zenon_L182_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ]. % 83.75/83.95 apply (zenon_L104_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ]. % 83.75/83.95 apply (zenon_L105_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ]. % 83.75/83.95 apply (zenon_L979_); trivial. % 83.75/83.95 apply (zenon_L107_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.75/83.95 apply (zenon_L131_); trivial. % 83.75/83.95 apply (zenon_L135_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.75/83.95 apply (zenon_L4_); trivial. % 83.75/83.95 apply (zenon_L5_); trivial. % 83.75/83.95 (* end of lemma zenon_L980_ *) % 83.75/83.95 assert (zenon_L981_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((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)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False). % 83.75/83.95 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H256 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H68d zenon_H1a9 zenon_H1f5 zenon_H1f3 zenon_H1c8 zenon_H176 zenon_H1e8 zenon_H1cf zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H2e zenon_H1c9 zenon_H1b6 zenon_H18e zenon_H3f zenon_H1e0 zenon_H1e4 zenon_H1f4 zenon_H50 zenon_H45 zenon_H56 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H220 zenon_H61 zenon_Ha8. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.95 apply (zenon_L52_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.95 apply (zenon_L536_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.95 apply (zenon_L71_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.95 apply (zenon_L53_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.95 apply (zenon_L537_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.95 apply (zenon_L11_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.95 apply (zenon_L20_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.95 apply (zenon_L22_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.95 apply (zenon_L11_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.95 apply (zenon_L129_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.95 apply (zenon_L980_); trivial. % 83.75/83.95 apply (zenon_L138_); trivial. % 83.75/83.95 apply (zenon_L77_); trivial. % 83.75/83.95 (* end of lemma zenon_L981_ *) % 83.75/83.95 assert (zenon_L982_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.95 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H61 zenon_H220 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1f3 zenon_H1f5 zenon_H1a9 zenon_H68d zenon_H1fd zenon_H68b zenon_H1a0 zenon_H19a zenon_H1ad zenon_H1d8 zenon_H1b0 zenon_H1c2 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H256 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.95 apply (zenon_L41_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.95 apply (zenon_L151_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.95 apply (zenon_L152_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.95 apply (zenon_L43_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.95 apply (zenon_L43_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.95 apply (zenon_L82_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.95 apply (zenon_L981_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.95 apply (zenon_L543_); trivial. % 83.75/83.95 apply (zenon_L32_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.95 apply (zenon_L139_); trivial. % 83.75/83.95 apply (zenon_L88_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.95 apply (zenon_L46_); trivial. % 83.75/83.95 apply (zenon_L31_); trivial. % 83.75/83.95 (* end of lemma zenon_L982_ *) % 83.75/83.95 assert (zenon_L983_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((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)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False). % 83.75/83.95 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H256 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H68d zenon_H1a9 zenon_H1f5 zenon_H249 zenon_H245 zenon_H16d zenon_H2e zenon_H1f3 zenon_H3f zenon_H220 zenon_H56 zenon_H45 zenon_H50 zenon_H61 zenon_Ha8. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.95 apply (zenon_L52_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.95 apply (zenon_L536_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.95 apply (zenon_L71_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.95 apply (zenon_L53_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.95 apply (zenon_L537_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.95 apply (zenon_L11_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.95 apply (zenon_L20_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.95 apply (zenon_L22_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.95 apply (zenon_L11_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.95 apply (zenon_L154_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.95 apply (zenon_L980_); trivial. % 83.75/83.95 apply (zenon_L138_); trivial. % 83.75/83.95 apply (zenon_L77_); trivial. % 83.75/83.95 (* end of lemma zenon_L983_ *) % 83.75/83.95 assert (zenon_L984_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.95 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H61 zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H1f3 zenon_H2e zenon_H16d zenon_H245 zenon_H249 zenon_H1f5 zenon_H1a9 zenon_H68d zenon_H1fd zenon_H68b zenon_H1a0 zenon_H19a zenon_H1ad zenon_H1d8 zenon_H1b0 zenon_H1c2 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H256 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.95 apply (zenon_L41_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.95 apply (zenon_L151_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.95 apply (zenon_L152_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.95 apply (zenon_L43_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.95 apply (zenon_L43_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.95 apply (zenon_L82_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.95 apply (zenon_L983_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.95 apply (zenon_L543_); trivial. % 83.75/83.95 apply (zenon_L32_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.95 apply (zenon_L139_); trivial. % 83.75/83.95 apply (zenon_L88_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.95 apply (zenon_L46_); trivial. % 83.75/83.95 apply (zenon_L31_); trivial. % 83.75/83.95 (* end of lemma zenon_L984_ *) % 83.75/83.95 assert (zenon_L985_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((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)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False). % 83.75/83.95 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H256 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H68d zenon_H1a9 zenon_H1f5 zenon_H1f3 zenon_H1c8 zenon_H176 zenon_H1e8 zenon_H1cf zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H2e zenon_H1c9 zenon_H1b9 zenon_H25d zenon_H1e4 zenon_H3f zenon_H18e zenon_H1b6 zenon_H229 zenon_H253 zenon_H252 zenon_H25a zenon_H24d zenon_H1f4 zenon_H50 zenon_H45 zenon_H56 zenon_H1ba zenon_H16d zenon_H220 zenon_H61 zenon_Ha8. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.95 apply (zenon_L52_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.95 apply (zenon_L536_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.95 apply (zenon_L71_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.95 apply (zenon_L53_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.95 apply (zenon_L537_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.95 apply (zenon_L11_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.95 apply (zenon_L20_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.95 apply (zenon_L22_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.95 apply (zenon_L11_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.95 apply (zenon_L164_); trivial. % 83.75/83.95 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.95 apply (zenon_L980_); trivial. % 83.75/83.95 apply (zenon_L138_); trivial. % 83.75/83.95 apply (zenon_L77_); trivial. % 83.75/83.95 (* end of lemma zenon_L985_ *) % 83.75/83.95 assert (zenon_L986_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.96 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H61 zenon_H220 zenon_H16d zenon_H1ba zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H24d zenon_H25a zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H3f zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1f3 zenon_H1f5 zenon_H1a9 zenon_H68d zenon_H1fd zenon_H68b zenon_H1a0 zenon_H19a zenon_H1ad zenon_H1d8 zenon_H1b0 zenon_H1c2 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H256 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.96 apply (zenon_L41_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.96 apply (zenon_L151_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.96 apply (zenon_L152_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.96 apply (zenon_L43_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.96 apply (zenon_L43_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.96 apply (zenon_L82_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.96 apply (zenon_L985_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.96 apply (zenon_L543_); trivial. % 83.75/83.96 apply (zenon_L32_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.96 apply (zenon_L139_); trivial. % 83.75/83.96 apply (zenon_L88_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.96 apply (zenon_L46_); trivial. % 83.75/83.96 apply (zenon_L31_); trivial. % 83.75/83.96 (* end of lemma zenon_L986_ *) % 83.75/83.96 assert (zenon_L987_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((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)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False). % 83.75/83.96 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H256 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H68d zenon_H1a9 zenon_H1f5 zenon_H230 zenon_H260 zenon_H176 zenon_H1c8 zenon_H3f zenon_H220 zenon_H56 zenon_H45 zenon_H50 zenon_H61 zenon_Ha8. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.96 apply (zenon_L52_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.96 apply (zenon_L536_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.96 apply (zenon_L71_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.96 apply (zenon_L53_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.96 apply (zenon_L537_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.96 apply (zenon_L11_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.96 apply (zenon_L20_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.96 apply (zenon_L22_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.96 apply (zenon_L11_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.96 apply (zenon_L167_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.96 apply (zenon_L980_); trivial. % 83.75/83.96 apply (zenon_L138_); trivial. % 83.75/83.96 apply (zenon_L77_); trivial. % 83.75/83.96 (* end of lemma zenon_L987_ *) % 83.75/83.96 assert (zenon_L988_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.96 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H61 zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H1f5 zenon_H1a9 zenon_H68d zenon_H1fd zenon_H68b zenon_H1a0 zenon_H19a zenon_H1ad zenon_H1d8 zenon_H1b0 zenon_H1c2 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H256 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.96 apply (zenon_L41_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.96 apply (zenon_L151_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.96 apply (zenon_L152_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.96 apply (zenon_L43_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.96 apply (zenon_L43_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.96 apply (zenon_L82_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.96 apply (zenon_L987_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.96 apply (zenon_L543_); trivial. % 83.75/83.96 apply (zenon_L32_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.96 apply (zenon_L139_); trivial. % 83.75/83.96 apply (zenon_L88_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.96 apply (zenon_L46_); trivial. % 83.75/83.96 apply (zenon_L31_); trivial. % 83.75/83.96 (* end of lemma zenon_L988_ *) % 83.75/83.96 assert (zenon_L989_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((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)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False). % 83.75/83.96 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H256 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H68d zenon_H1a9 zenon_H1f5 zenon_H1f3 zenon_H1c8 zenon_H176 zenon_H1e8 zenon_H1cf zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H2e zenon_H1c9 zenon_H266 zenon_H1f4 zenon_H50 zenon_H45 zenon_H56 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H1b6 zenon_H18e zenon_H3f zenon_H220 zenon_H61 zenon_Ha8. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.96 apply (zenon_L52_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.96 apply (zenon_L536_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.96 apply (zenon_L71_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.75/83.96 apply (zenon_L53_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.75/83.96 apply (zenon_L537_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.96 apply (zenon_L11_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.96 apply (zenon_L20_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.96 apply (zenon_L22_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.96 apply (zenon_L11_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.96 apply (zenon_L171_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.96 apply (zenon_L980_); trivial. % 83.75/83.96 apply (zenon_L138_); trivial. % 83.75/83.96 apply (zenon_L77_); trivial. % 83.75/83.96 (* end of lemma zenon_L989_ *) % 83.75/83.96 assert (zenon_L990_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.96 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H61 zenon_H220 zenon_H3f zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H266 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1f3 zenon_H1f5 zenon_H1a9 zenon_H68d zenon_H1fd zenon_H68b zenon_H1a0 zenon_H19a zenon_H1ad zenon_H1d8 zenon_H1b0 zenon_H1c2 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H256 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.96 apply (zenon_L41_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.96 apply (zenon_L151_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.96 apply (zenon_L152_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.96 apply (zenon_L43_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.96 apply (zenon_L43_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.96 apply (zenon_L82_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.96 apply (zenon_L989_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.96 apply (zenon_L543_); trivial. % 83.75/83.96 apply (zenon_L32_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.96 apply (zenon_L139_); trivial. % 83.75/83.96 apply (zenon_L88_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.96 apply (zenon_L46_); trivial. % 83.75/83.96 apply (zenon_L31_); trivial. % 83.75/83.96 (* end of lemma zenon_L990_ *) % 83.75/83.96 assert (zenon_L991_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.96 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H1ee zenon_H1ff zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H16 zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H5d zenon_H5c zenon_H7a zenon_H1fd zenon_H13c zenon_H699 zenon_H1a0 zenon_H1f4 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H20a zenon_H16b zenon_H1b0 zenon_H45 zenon_H42 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.75/83.96 apply (zenon_L7_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.75/83.96 apply (zenon_L178_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.75/83.96 apply (zenon_L179_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.75/83.96 apply (zenon_L3_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.75/83.96 apply (zenon_L3_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ]. % 83.75/83.96 apply (zenon_L115_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.75/83.96 apply (zenon_L177_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.75/83.96 apply (zenon_L180_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.75/83.96 apply (zenon_L105_); trivial. % 83.75/83.96 cut (((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) = ((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))). % 83.75/83.96 intro zenon_D_pnotp. % 83.75/83.96 apply zenon_H699. % 83.75/83.96 rewrite <- zenon_D_pnotp. % 83.75/83.96 exact zenon_H1fd. % 83.75/83.96 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H69a]. % 83.75/83.96 cut (((h1 (e11)) = (h1 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H69b]. % 83.75/83.96 congruence. % 83.75/83.96 elim (classic ((h1 (op1 (e11) (e13))) = (h1 (op1 (e11) (e13))))); [ zenon_intro zenon_H69c | zenon_intro zenon_H69d ]. % 83.75/83.96 cut (((h1 (op1 (e11) (e13))) = (h1 (op1 (e11) (e13)))) = ((h1 (e11)) = (h1 (op1 (e11) (e13))))). % 83.75/83.96 intro zenon_D_pnotp. % 83.75/83.96 apply zenon_H69b. % 83.75/83.96 rewrite <- zenon_D_pnotp. % 83.75/83.96 exact zenon_H69c. % 83.75/83.96 cut (((h1 (op1 (e11) (e13))) = (h1 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H69d]. % 83.75/83.96 cut (((h1 (op1 (e11) (e13))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H69e]. % 83.75/83.96 congruence. % 83.75/83.96 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H69f]. % 83.75/83.96 congruence. % 83.75/83.96 exact (zenon_H69f zenon_H1eb). % 83.75/83.96 apply zenon_H69d. apply refl_equal. % 83.75/83.96 apply zenon_H69d. apply refl_equal. % 83.75/83.96 elim (classic ((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [ zenon_intro zenon_H6a0 | zenon_intro zenon_H6a1 ]. % 83.75/83.96 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13)))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e11)) (h1 (e13))))). % 83.75/83.96 intro zenon_D_pnotp. % 83.75/83.96 apply zenon_H69a. % 83.75/83.96 rewrite <- zenon_D_pnotp. % 83.75/83.96 exact zenon_H6a0. % 83.75/83.96 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6a1]. % 83.75/83.96 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6a2]. % 83.75/83.96 congruence. % 83.75/83.96 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (h1 (e11)) (h1 (e13))) = (op2 (e20) (op2 (e20) (e20))))). % 83.75/83.96 intro zenon_D_pnotp. % 83.75/83.96 apply zenon_H6a2. % 83.75/83.96 rewrite <- zenon_D_pnotp. % 83.75/83.96 exact zenon_H13c. % 83.75/83.96 cut (((e21) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6a3]. % 83.75/83.96 cut (((op2 (e21) (e23)) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6a4]. % 83.75/83.96 congruence. % 83.75/83.96 elim (classic ((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [ zenon_intro zenon_H6a0 | zenon_intro zenon_H6a1 ]. % 83.75/83.96 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13)))) = ((op2 (e21) (e23)) = (op2 (h1 (e11)) (h1 (e13))))). % 83.75/83.96 intro zenon_D_pnotp. % 83.75/83.96 apply zenon_H6a4. % 83.75/83.96 rewrite <- zenon_D_pnotp. % 83.75/83.96 exact zenon_H6a0. % 83.75/83.96 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6a1]. % 83.75/83.96 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H6a5]. % 83.75/83.96 congruence. % 83.75/83.96 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 83.75/83.96 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc]. % 83.75/83.96 congruence. % 83.75/83.96 apply (zenon_L130_); trivial. % 83.75/83.96 apply (zenon_L23_); trivial. % 83.75/83.96 apply zenon_H6a1. apply refl_equal. % 83.75/83.96 apply zenon_H6a1. apply refl_equal. % 83.75/83.96 exact (zenon_H6a3 zenon_H7a). % 83.75/83.96 apply zenon_H6a1. apply refl_equal. % 83.75/83.96 apply zenon_H6a1. apply refl_equal. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ]. % 83.75/83.96 apply (zenon_L181_); trivial. % 83.75/83.96 apply (zenon_L13_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.75/83.96 apply (zenon_L131_); trivial. % 83.75/83.96 apply (zenon_L128_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.75/83.96 apply (zenon_L4_); trivial. % 83.75/83.96 apply (zenon_L5_); trivial. % 83.75/83.96 (* end of lemma zenon_L991_ *) % 83.75/83.96 assert (zenon_L992_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.96 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H61 zenon_H220 zenon_H1e4 zenon_H1e0 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H699 zenon_H1fd zenon_H7a zenon_H5c zenon_H5d zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.96 apply (zenon_L52_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.96 apply (zenon_L536_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.96 apply (zenon_L71_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.96 apply (zenon_L11_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.96 apply (zenon_L20_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.96 apply (zenon_L22_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.96 apply (zenon_L11_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.96 apply (zenon_L129_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.96 apply (zenon_L991_); trivial. % 83.75/83.96 apply (zenon_L138_); trivial. % 83.75/83.96 (* end of lemma zenon_L992_ *) % 83.75/83.96 assert (zenon_L993_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.96 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H5c zenon_H1fd zenon_H699 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H1e0 zenon_H1e4 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.96 apply (zenon_L41_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.96 apply (zenon_L151_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.96 apply (zenon_L152_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.96 apply (zenon_L43_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.96 apply (zenon_L43_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.96 apply (zenon_L82_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.96 apply (zenon_L992_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.96 apply (zenon_L543_); trivial. % 83.75/83.96 apply (zenon_L32_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.96 apply (zenon_L139_); trivial. % 83.75/83.96 apply (zenon_L88_); trivial. % 83.75/83.96 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.96 apply (zenon_L46_); trivial. % 83.75/83.96 apply (zenon_L31_); trivial. % 83.75/83.96 (* end of lemma zenon_L993_ *) % 83.75/83.96 assert (zenon_L994_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H61 zenon_H220 zenon_H245 zenon_H249 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H699 zenon_H1fd zenon_H7a zenon_H5c zenon_H5d zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.97 apply (zenon_L52_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.97 apply (zenon_L536_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.97 apply (zenon_L71_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.97 apply (zenon_L20_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.97 apply (zenon_L22_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.97 apply (zenon_L154_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.97 apply (zenon_L991_); trivial. % 83.75/83.97 apply (zenon_L138_); trivial. % 83.75/83.97 (* end of lemma zenon_L994_ *) % 83.75/83.97 assert (zenon_L995_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H5c zenon_H1fd zenon_H699 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H249 zenon_H245 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.97 apply (zenon_L41_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.97 apply (zenon_L151_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.97 apply (zenon_L152_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.97 apply (zenon_L43_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.97 apply (zenon_L43_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.97 apply (zenon_L82_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.97 apply (zenon_L994_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.97 apply (zenon_L543_); trivial. % 83.75/83.97 apply (zenon_L32_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.97 apply (zenon_L139_); trivial. % 83.75/83.97 apply (zenon_L88_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.97 apply (zenon_L46_); trivial. % 83.75/83.97 apply (zenon_L31_); trivial. % 83.75/83.97 (* end of lemma zenon_L995_ *) % 83.75/83.97 assert (zenon_L996_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H61 zenon_H220 zenon_H24d zenon_H25a zenon_H256 zenon_H252 zenon_H253 zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H699 zenon_H1fd zenon_H7a zenon_H5c zenon_H5d zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.97 apply (zenon_L52_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.97 apply (zenon_L536_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.97 apply (zenon_L71_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.97 apply (zenon_L20_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.97 apply (zenon_L22_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.97 apply (zenon_L164_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.97 apply (zenon_L991_); trivial. % 83.75/83.97 apply (zenon_L138_); trivial. % 83.75/83.97 (* end of lemma zenon_L996_ *) % 83.75/83.97 assert (zenon_L997_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H5c zenon_H1fd zenon_H699 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H25d zenon_H1e4 zenon_H229 zenon_H253 zenon_H252 zenon_H256 zenon_H25a zenon_H24d zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.97 apply (zenon_L41_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.97 apply (zenon_L151_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.97 apply (zenon_L152_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.97 apply (zenon_L43_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.97 apply (zenon_L43_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.97 apply (zenon_L82_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.97 apply (zenon_L996_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.97 apply (zenon_L543_); trivial. % 83.75/83.97 apply (zenon_L32_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.97 apply (zenon_L139_); trivial. % 83.75/83.97 apply (zenon_L88_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.97 apply (zenon_L46_); trivial. % 83.75/83.97 apply (zenon_L31_); trivial. % 83.75/83.97 (* end of lemma zenon_L997_ *) % 83.75/83.97 assert (zenon_L998_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H61 zenon_H220 zenon_H260 zenon_H230 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H699 zenon_H1fd zenon_H7a zenon_H5c zenon_H5d zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.97 apply (zenon_L52_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.97 apply (zenon_L536_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.97 apply (zenon_L71_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.97 apply (zenon_L20_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.97 apply (zenon_L22_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.97 apply (zenon_L167_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.97 apply (zenon_L991_); trivial. % 83.75/83.97 apply (zenon_L138_); trivial. % 83.75/83.97 (* end of lemma zenon_L998_ *) % 83.75/83.97 assert (zenon_L999_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H5c zenon_H1fd zenon_H699 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H230 zenon_H260 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.97 apply (zenon_L41_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.97 apply (zenon_L151_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.97 apply (zenon_L47_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.97 apply (zenon_L43_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.97 apply (zenon_L43_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.97 apply (zenon_L82_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.97 apply (zenon_L998_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.97 apply (zenon_L543_); trivial. % 83.75/83.97 apply (zenon_L32_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.97 apply (zenon_L139_); trivial. % 83.75/83.97 apply (zenon_L88_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.97 apply (zenon_L46_); trivial. % 83.75/83.97 apply (zenon_L31_); trivial. % 83.75/83.97 (* end of lemma zenon_L999_ *) % 83.75/83.97 assert (zenon_L1000_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H5c zenon_H1fd zenon_H699 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H266 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.97 apply (zenon_L41_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.97 apply (zenon_L151_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.97 apply (zenon_L152_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.97 apply (zenon_L43_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.97 apply (zenon_L43_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.97 apply (zenon_L82_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.75/83.97 apply (zenon_L52_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.75/83.97 apply (zenon_L536_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.75/83.97 apply (zenon_L71_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.97 apply (zenon_L20_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.97 apply (zenon_L22_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.97 apply (zenon_L171_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.97 apply (zenon_L991_); trivial. % 83.75/83.97 apply (zenon_L138_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.97 apply (zenon_L543_); trivial. % 83.75/83.97 apply (zenon_L32_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.97 apply (zenon_L139_); trivial. % 83.75/83.97 apply (zenon_L88_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.97 apply (zenon_L46_); trivial. % 83.75/83.97 apply (zenon_L31_); trivial. % 83.75/83.97 (* end of lemma zenon_L1000_ *) % 83.75/83.97 assert (zenon_L1001_ : (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((op1 (e12) (e10)) = (e10)) -> ((op2 (e22) (e20)) = (e20)) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> False). % 83.75/83.97 do 0 intro. intros zenon_H6a6 zenon_H1ff zenon_H21d zenon_H68b zenon_H78 zenon_H64. % 83.75/83.97 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))). % 83.75/83.97 intro zenon_D_pnotp. % 83.75/83.97 apply zenon_H6a6. % 83.75/83.97 rewrite <- zenon_D_pnotp. % 83.75/83.97 exact zenon_H64. % 83.75/83.97 cut (((e20) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6a7]. % 83.75/83.97 cut (((h1 (e10)) = (h1 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6a8]. % 83.75/83.97 congruence. % 83.75/83.97 elim (classic ((h1 (op1 (e12) (e10))) = (h1 (op1 (e12) (e10))))); [ zenon_intro zenon_H6a9 | zenon_intro zenon_H6aa ]. % 83.75/83.97 cut (((h1 (op1 (e12) (e10))) = (h1 (op1 (e12) (e10)))) = ((h1 (e10)) = (h1 (op1 (e12) (e10))))). % 83.75/83.97 intro zenon_D_pnotp. % 83.75/83.97 apply zenon_H6a8. % 83.75/83.97 rewrite <- zenon_D_pnotp. % 83.75/83.97 exact zenon_H6a9. % 83.75/83.97 cut (((h1 (op1 (e12) (e10))) = (h1 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6aa]. % 83.75/83.97 cut (((h1 (op1 (e12) (e10))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6ab]. % 83.75/83.97 congruence. % 83.75/83.97 cut (((op1 (e12) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H6ac]. % 83.75/83.97 congruence. % 83.75/83.97 exact (zenon_H6ac zenon_H1ff). % 83.75/83.97 apply zenon_H6aa. apply refl_equal. % 83.75/83.97 apply zenon_H6aa. apply refl_equal. % 83.75/83.97 elim (classic ((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10))))); [ zenon_intro zenon_H6ad | zenon_intro zenon_H6ae ]. % 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10)))) = ((e20) = (op2 (h1 (e12)) (h1 (e10))))). % 83.75/83.97 intro zenon_D_pnotp. % 83.75/83.97 apply zenon_H6a7. % 83.75/83.97 rewrite <- zenon_D_pnotp. % 83.75/83.97 exact zenon_H6ad. % 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6ae]. % 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e10))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H6af]. % 83.75/83.97 congruence. % 83.75/83.97 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (h1 (e12)) (h1 (e10))) = (e20))). % 83.75/83.97 intro zenon_D_pnotp. % 83.75/83.97 apply zenon_H6af. % 83.75/83.97 rewrite <- zenon_D_pnotp. % 83.75/83.97 exact zenon_H21d. % 83.75/83.97 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.75/83.97 cut (((op2 (e22) (e20)) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6b0]. % 83.75/83.97 congruence. % 83.75/83.97 elim (classic ((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10))))); [ zenon_intro zenon_H6ad | zenon_intro zenon_H6ae ]. % 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10)))) = ((op2 (e22) (e20)) = (op2 (h1 (e12)) (h1 (e10))))). % 83.75/83.97 intro zenon_D_pnotp. % 83.75/83.97 apply zenon_H6b0. % 83.75/83.97 rewrite <- zenon_D_pnotp. % 83.75/83.97 exact zenon_H6ad. % 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6ae]. % 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6b1]. % 83.75/83.97 congruence. % 83.75/83.97 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 83.75/83.97 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a]. % 83.75/83.97 congruence. % 83.75/83.97 apply (zenon_L978_); trivial. % 83.75/83.97 exact (zenon_H72 zenon_H64). % 83.75/83.97 apply zenon_H6ae. apply refl_equal. % 83.75/83.97 apply zenon_H6ae. apply refl_equal. % 83.75/83.97 apply zenon_H60. apply refl_equal. % 83.75/83.97 apply zenon_H6ae. apply refl_equal. % 83.75/83.97 apply zenon_H6ae. apply refl_equal. % 83.75/83.97 (* end of lemma zenon_L1001_ *) % 83.75/83.97 assert (zenon_L1002_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f5 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H64 zenon_H78 zenon_H68b zenon_H21d zenon_H6a6 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.97 apply (zenon_L20_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.97 apply (zenon_L22_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.97 apply (zenon_L129_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.97 apply (zenon_L1001_); trivial. % 83.75/83.97 apply (zenon_L138_); trivial. % 83.75/83.97 (* end of lemma zenon_L1002_ *) % 83.75/83.97 assert (zenon_L1003_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H220 zenon_H3f zenon_H3a zenon_H1f3 zenon_H2e zenon_H16d zenon_H245 zenon_H249 zenon_H64 zenon_H78 zenon_H68b zenon_H21d zenon_H6a6 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.97 apply (zenon_L154_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.97 apply (zenon_L1001_); trivial. % 83.75/83.97 apply (zenon_L138_); trivial. % 83.75/83.97 (* end of lemma zenon_L1003_ *) % 83.75/83.97 assert (zenon_L1004_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((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 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f5 zenon_H4d zenon_H49 zenon_H16d zenon_H1ba zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H3a zenon_H200 zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H53 zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H64 zenon_H78 zenon_H68b zenon_H21d zenon_H6a6 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.97 apply (zenon_L20_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.97 apply (zenon_L22_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.97 apply (zenon_L164_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.97 apply (zenon_L1001_); trivial. % 83.75/83.97 apply (zenon_L138_); trivial. % 83.75/83.97 (* end of lemma zenon_L1004_ *) % 83.75/83.97 assert (zenon_L1005_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H61 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H1c2 zenon_H64 zenon_H78 zenon_H68b zenon_H21d zenon_H6a6 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.97 apply (zenon_L20_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.97 apply (zenon_L22_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.97 apply (zenon_L167_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.97 apply (zenon_L1001_); trivial. % 83.75/83.97 apply (zenon_L138_); trivial. % 83.75/83.97 (* end of lemma zenon_L1005_ *) % 83.75/83.97 assert (zenon_L1006_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f5 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H64 zenon_H78 zenon_H68b zenon_H21d zenon_H6a6 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.97 apply (zenon_L20_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.97 apply (zenon_L22_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.97 apply (zenon_L171_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.97 apply (zenon_L1001_); trivial. % 83.75/83.97 apply (zenon_L138_); trivial. % 83.75/83.97 (* end of lemma zenon_L1006_ *) % 83.75/83.97 assert (zenon_L1007_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((op2 (e22) (e21)) = (e21)) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H1ee zenon_H1ff zenon_H200 zenon_H276 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H16 zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H6b2 zenon_He5 zenon_H68b zenon_H78 zenon_H1fd zenon_H7a zenon_H1c9 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H20a zenon_H16b zenon_H1b0 zenon_H45 zenon_H42 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.75/83.97 apply (zenon_L7_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.75/83.97 apply (zenon_L178_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.75/83.97 apply (zenon_L179_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.75/83.97 apply (zenon_L3_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.75/83.97 apply (zenon_L3_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ]. % 83.75/83.97 apply (zenon_L115_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ]. % 83.75/83.97 apply (zenon_L9_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ]. % 83.75/83.97 apply (zenon_L180_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ]. % 83.75/83.97 cut (((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) = ((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))). % 83.75/83.97 intro zenon_D_pnotp. % 83.75/83.97 apply zenon_H6b2. % 83.75/83.97 rewrite <- zenon_D_pnotp. % 83.75/83.97 exact zenon_H1fd. % 83.75/83.97 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6b3]. % 83.75/83.97 cut (((h1 (e11)) = (h1 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6b4]. % 83.75/83.97 congruence. % 83.75/83.97 elim (classic ((h1 (op1 (e12) (e11))) = (h1 (op1 (e12) (e11))))); [ zenon_intro zenon_H6b5 | zenon_intro zenon_H6b6 ]. % 83.75/83.97 cut (((h1 (op1 (e12) (e11))) = (h1 (op1 (e12) (e11)))) = ((h1 (e11)) = (h1 (op1 (e12) (e11))))). % 83.75/83.97 intro zenon_D_pnotp. % 83.75/83.97 apply zenon_H6b4. % 83.75/83.97 rewrite <- zenon_D_pnotp. % 83.75/83.97 exact zenon_H6b5. % 83.75/83.97 cut (((h1 (op1 (e12) (e11))) = (h1 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6b6]. % 83.75/83.97 cut (((h1 (op1 (e12) (e11))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6b7]. % 83.75/83.97 congruence. % 83.75/83.97 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H185]. % 83.75/83.97 congruence. % 83.75/83.97 exact (zenon_H185 zenon_H184). % 83.75/83.97 apply zenon_H6b6. apply refl_equal. % 83.75/83.97 apply zenon_H6b6. apply refl_equal. % 83.75/83.97 elim (classic ((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [ zenon_intro zenon_H6b8 | zenon_intro zenon_H6b9 ]. % 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11)))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e12)) (h1 (e11))))). % 83.75/83.97 intro zenon_D_pnotp. % 83.75/83.97 apply zenon_H6b3. % 83.75/83.97 rewrite <- zenon_D_pnotp. % 83.75/83.97 exact zenon_H6b8. % 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6b9]. % 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6ba]. % 83.75/83.97 congruence. % 83.75/83.97 cut (((op2 (e22) (e21)) = (e21)) = ((op2 (h1 (e12)) (h1 (e11))) = (op2 (e20) (op2 (e20) (e20))))). % 83.75/83.97 intro zenon_D_pnotp. % 83.75/83.97 apply zenon_H6ba. % 83.75/83.97 rewrite <- zenon_D_pnotp. % 83.75/83.97 exact zenon_He5. % 83.75/83.97 cut (((e21) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6a3]. % 83.75/83.97 cut (((op2 (e22) (e21)) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6bb]. % 83.75/83.97 congruence. % 83.75/83.97 elim (classic ((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [ zenon_intro zenon_H6b8 | zenon_intro zenon_H6b9 ]. % 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11)))) = ((op2 (e22) (e21)) = (op2 (h1 (e12)) (h1 (e11))))). % 83.75/83.97 intro zenon_D_pnotp. % 83.75/83.97 apply zenon_H6bb. % 83.75/83.97 rewrite <- zenon_D_pnotp. % 83.75/83.97 exact zenon_H6b8. % 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6b9]. % 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H6bc]. % 83.75/83.97 congruence. % 83.75/83.97 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc]. % 83.75/83.97 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a]. % 83.75/83.97 congruence. % 83.75/83.97 apply (zenon_L978_); trivial. % 83.75/83.97 apply (zenon_L130_); trivial. % 83.75/83.97 apply zenon_H6b9. apply refl_equal. % 83.75/83.97 apply zenon_H6b9. apply refl_equal. % 83.75/83.97 exact (zenon_H6a3 zenon_H7a). % 83.75/83.97 apply zenon_H6b9. apply refl_equal. % 83.75/83.97 apply zenon_H6b9. apply refl_equal. % 83.75/83.97 apply (zenon_L113_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ]. % 83.75/83.97 apply (zenon_L181_); trivial. % 83.75/83.97 apply (zenon_L13_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.75/83.97 apply (zenon_L131_); trivial. % 83.75/83.97 apply (zenon_L128_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.75/83.97 apply (zenon_L4_); trivial. % 83.75/83.97 apply (zenon_L5_); trivial. % 83.75/83.97 (* end of lemma zenon_L1007_ *) % 83.75/83.97 assert (zenon_L1008_ : (((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)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.75/83.97 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H6b2 zenon_H68b zenon_H78 zenon_H1fd zenon_H7a zenon_H1c9 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H1e0 zenon_H1e4 zenon_H1f4 zenon_H220 zenon_H61 zenon_H13e zenon_Hba zenon_Hb8. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.97 apply (zenon_L76_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.97 apply (zenon_L536_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.97 apply (zenon_L20_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.97 apply (zenon_L22_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.97 apply (zenon_L129_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.97 apply (zenon_L1007_); trivial. % 83.75/83.97 apply (zenon_L138_); trivial. % 83.75/83.97 apply (zenon_L78_); trivial. % 83.75/83.97 (* end of lemma zenon_L1008_ *) % 83.75/83.97 assert (zenon_L1009_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_Hba zenon_H13e zenon_H61 zenon_H220 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1fd zenon_H68b zenon_H6b2 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H141 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.97 apply (zenon_L41_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.97 apply (zenon_L151_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.97 apply (zenon_L152_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.97 apply (zenon_L43_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.97 apply (zenon_L43_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.97 apply (zenon_L82_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.97 apply (zenon_L1008_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.97 apply (zenon_L543_); trivial. % 83.75/83.97 apply (zenon_L32_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.97 apply (zenon_L139_); trivial. % 83.75/83.97 apply (zenon_L88_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.97 apply (zenon_L46_); trivial. % 83.75/83.97 apply (zenon_L31_); trivial. % 83.75/83.97 (* end of lemma zenon_L1009_ *) % 83.75/83.97 assert (zenon_L1010_ : (((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)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.97 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H6b2 zenon_H68b zenon_H78 zenon_H1fd zenon_H7a zenon_H1c9 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H249 zenon_H245 zenon_H220 zenon_H61 zenon_H13e zenon_H10c. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.97 apply (zenon_L76_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.97 apply (zenon_L536_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.97 apply (zenon_L20_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.97 apply (zenon_L22_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.97 apply (zenon_L154_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.97 apply (zenon_L1007_); trivial. % 83.75/83.97 apply (zenon_L138_); trivial. % 83.75/83.97 apply (zenon_L517_); trivial. % 83.75/83.97 (* end of lemma zenon_L1010_ *) % 83.75/83.97 assert (zenon_L1011_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hba zenon_Hd1 zenon_H13e zenon_H61 zenon_H220 zenon_H245 zenon_H249 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1fd zenon_H68b zenon_H6b2 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H141 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.97 apply (zenon_L41_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.97 apply (zenon_L151_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.97 apply (zenon_L152_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.97 apply (zenon_L43_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.97 apply (zenon_L43_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.97 apply (zenon_L82_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.97 apply (zenon_L1010_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.97 apply (zenon_L543_); trivial. % 83.75/83.97 apply (zenon_L32_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.97 apply (zenon_L139_); trivial. % 83.75/83.97 apply (zenon_L88_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.97 apply (zenon_L46_); trivial. % 83.75/83.97 apply (zenon_L31_); trivial. % 83.75/83.97 (* end of lemma zenon_L1011_ *) % 83.75/83.97 assert (zenon_L1012_ : (((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)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.75/83.97 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H6b2 zenon_H68b zenon_H78 zenon_H1fd zenon_H7a zenon_H1c9 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H25d zenon_H1e4 zenon_H229 zenon_H253 zenon_H252 zenon_H256 zenon_H25a zenon_H24d zenon_H1f4 zenon_H220 zenon_H61 zenon_H13e zenon_Hba zenon_Hb8. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.97 apply (zenon_L76_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.97 apply (zenon_L536_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.97 apply (zenon_L20_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.97 apply (zenon_L22_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.97 apply (zenon_L11_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.97 apply (zenon_L164_); trivial. % 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.97 apply (zenon_L1007_); trivial. % 83.75/83.97 apply (zenon_L138_); trivial. % 83.75/83.97 apply (zenon_L78_); trivial. % 83.75/83.97 (* end of lemma zenon_L1012_ *) % 83.75/83.97 assert (zenon_L1013_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_Hba zenon_H13e zenon_H61 zenon_H220 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H252 zenon_H253 zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1fd zenon_H68b zenon_H6b2 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H141 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.98 apply (zenon_L41_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.98 apply (zenon_L151_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.98 apply (zenon_L152_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.98 apply (zenon_L43_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.98 apply (zenon_L43_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.98 apply (zenon_L82_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.98 apply (zenon_L1012_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.98 apply (zenon_L543_); trivial. % 83.75/83.98 apply (zenon_L32_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.98 apply (zenon_L139_); trivial. % 83.75/83.98 apply (zenon_L88_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.98 apply (zenon_L46_); trivial. % 83.75/83.98 apply (zenon_L31_); trivial. % 83.75/83.98 (* end of lemma zenon_L1013_ *) % 83.75/83.98 assert (zenon_L1014_ : (((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)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False). % 83.75/83.98 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H6b2 zenon_H68b zenon_H78 zenon_H1fd zenon_H7a zenon_H1c9 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H230 zenon_H260 zenon_H220 zenon_H61 zenon_H13e zenon_H10c. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.98 apply (zenon_L76_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.98 apply (zenon_L536_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.98 apply (zenon_L11_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.98 apply (zenon_L20_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.98 apply (zenon_L22_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.98 apply (zenon_L11_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.98 apply (zenon_L167_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.98 apply (zenon_L1007_); trivial. % 83.75/83.98 apply (zenon_L138_); trivial. % 83.75/83.98 apply (zenon_L517_); trivial. % 83.75/83.98 (* end of lemma zenon_L1014_ *) % 83.75/83.98 assert (zenon_L1015_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.98 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hba zenon_Hd1 zenon_H13e zenon_H61 zenon_H220 zenon_H260 zenon_H230 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1fd zenon_H68b zenon_H6b2 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H141 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.98 apply (zenon_L41_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.98 apply (zenon_L151_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.98 apply (zenon_L152_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.98 apply (zenon_L43_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.98 apply (zenon_L43_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.98 apply (zenon_L82_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.98 apply (zenon_L1014_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.98 apply (zenon_L543_); trivial. % 83.75/83.98 apply (zenon_L32_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.98 apply (zenon_L139_); trivial. % 83.75/83.98 apply (zenon_L88_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.98 apply (zenon_L46_); trivial. % 83.75/83.98 apply (zenon_L31_); trivial. % 83.75/83.98 (* end of lemma zenon_L1015_ *) % 83.75/83.98 assert (zenon_L1016_ : (((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)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False). % 83.75/83.98 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H6b2 zenon_H68b zenon_H78 zenon_H1fd zenon_H7a zenon_H1c9 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H266 zenon_H1f4 zenon_H220 zenon_H61 zenon_H13e zenon_Hba zenon_Hb8. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ]. % 83.75/83.98 apply (zenon_L76_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ]. % 83.75/83.98 apply (zenon_L536_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.98 apply (zenon_L11_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.98 apply (zenon_L20_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.98 apply (zenon_L22_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.98 apply (zenon_L11_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.98 apply (zenon_L171_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.98 apply (zenon_L1007_); trivial. % 83.75/83.98 apply (zenon_L138_); trivial. % 83.75/83.98 apply (zenon_L78_); trivial. % 83.75/83.98 (* end of lemma zenon_L1016_ *) % 83.75/83.98 assert (zenon_L1017_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.98 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_Hba zenon_H13e zenon_H61 zenon_H220 zenon_H1f4 zenon_H266 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1fd zenon_H68b zenon_H6b2 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H141 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.98 apply (zenon_L41_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.98 apply (zenon_L151_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.98 apply (zenon_L152_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.98 apply (zenon_L43_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.98 apply (zenon_L43_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.75/83.98 apply (zenon_L82_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.75/83.98 apply (zenon_L1016_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.75/83.98 apply (zenon_L543_); trivial. % 83.75/83.98 apply (zenon_L32_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.98 apply (zenon_L139_); trivial. % 83.75/83.98 apply (zenon_L88_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.98 apply (zenon_L46_); trivial. % 83.75/83.98 apply (zenon_L31_); trivial. % 83.75/83.98 (* end of lemma zenon_L1017_ *) % 83.75/83.98 assert (zenon_L1018_ : (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op1 (e12) (e12)) = (e13)) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> False). % 83.75/83.98 do 0 intro. intros zenon_H6bd zenon_H5c zenon_H1da zenon_H4cf zenon_H5d zenon_H68b zenon_H78. % 83.75/83.98 cut (((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))). % 83.75/83.98 intro zenon_D_pnotp. % 83.75/83.98 apply zenon_H6bd. % 83.75/83.98 rewrite <- zenon_D_pnotp. % 83.75/83.98 exact zenon_H5c. % 83.75/83.98 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6be]. % 83.75/83.98 cut (((h1 (e13)) = (h1 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6bf]. % 83.75/83.98 congruence. % 83.75/83.98 elim (classic ((h1 (op1 (e12) (e12))) = (h1 (op1 (e12) (e12))))); [ zenon_intro zenon_H6c0 | zenon_intro zenon_H6c1 ]. % 83.75/83.98 cut (((h1 (op1 (e12) (e12))) = (h1 (op1 (e12) (e12)))) = ((h1 (e13)) = (h1 (op1 (e12) (e12))))). % 83.75/83.98 intro zenon_D_pnotp. % 83.75/83.98 apply zenon_H6bf. % 83.75/83.98 rewrite <- zenon_D_pnotp. % 83.75/83.98 exact zenon_H6c0. % 83.75/83.98 cut (((h1 (op1 (e12) (e12))) = (h1 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6c1]. % 83.75/83.98 cut (((h1 (op1 (e12) (e12))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H6c2]. % 83.75/83.98 congruence. % 83.75/83.98 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b1]. % 83.75/83.98 congruence. % 83.75/83.98 exact (zenon_H2b1 zenon_H1da). % 83.75/83.98 apply zenon_H6c1. apply refl_equal. % 83.75/83.98 apply zenon_H6c1. apply refl_equal. % 83.75/83.98 elim (classic ((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [ zenon_intro zenon_H6c3 | zenon_intro zenon_H6c4 ]. % 83.75/83.98 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12)))) = ((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e12)) (h1 (e12))))). % 83.75/83.98 intro zenon_D_pnotp. % 83.75/83.98 apply zenon_H6be. % 83.75/83.98 rewrite <- zenon_D_pnotp. % 83.75/83.98 exact zenon_H6c3. % 83.75/83.98 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6c4]. % 83.75/83.98 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))); [idtac | apply NNPP; zenon_intro zenon_H6c5]. % 83.75/83.98 congruence. % 83.75/83.98 cut (((op2 (e22) (e22)) = (e23)) = ((op2 (h1 (e12)) (h1 (e12))) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))). % 83.75/83.98 intro zenon_D_pnotp. % 83.75/83.98 apply zenon_H6c5. % 83.75/83.98 rewrite <- zenon_D_pnotp. % 83.75/83.98 exact zenon_H4cf. % 83.75/83.98 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))); [idtac | apply NNPP; zenon_intro zenon_H21a]. % 83.75/83.98 cut (((op2 (e22) (e22)) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6c6]. % 83.75/83.98 congruence. % 83.75/83.98 elim (classic ((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [ zenon_intro zenon_H6c3 | zenon_intro zenon_H6c4 ]. % 83.75/83.98 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12)))) = ((op2 (e22) (e22)) = (op2 (h1 (e12)) (h1 (e12))))). % 83.75/83.98 intro zenon_D_pnotp. % 83.75/83.98 apply zenon_H6c6. % 83.75/83.98 rewrite <- zenon_D_pnotp. % 83.75/83.98 exact zenon_H6c3. % 83.75/83.98 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6c4]. % 83.75/83.98 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c7]. % 83.75/83.98 congruence. % 83.75/83.98 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a]. % 83.75/83.98 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a]. % 83.75/83.98 congruence. % 83.75/83.98 apply (zenon_L978_); trivial. % 83.75/83.98 apply (zenon_L978_); trivial. % 83.75/83.98 apply zenon_H6c4. apply refl_equal. % 83.75/83.98 apply zenon_H6c4. apply refl_equal. % 83.75/83.98 exact (zenon_H21a zenon_H5d). % 83.75/83.98 apply zenon_H6c4. apply refl_equal. % 83.75/83.98 apply zenon_H6c4. apply refl_equal. % 83.75/83.98 (* end of lemma zenon_L1018_ *) % 83.75/83.98 assert (zenon_L1019_ : ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> (~((e12) = (e13))) -> False). % 83.75/83.98 do 0 intro. intros zenon_H1b4 zenon_H363 zenon_H25a. % 83.75/83.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ]. % 83.75/83.98 cut (((e13) = (e13)) = ((e12) = (e13))). % 83.75/83.98 intro zenon_D_pnotp. % 83.75/83.98 apply zenon_H25a. % 83.75/83.98 rewrite <- zenon_D_pnotp. % 83.75/83.98 exact zenon_H1ef. % 83.75/83.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.75/83.98 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H25b]. % 83.75/83.98 congruence. % 83.75/83.98 cut (((op1 (e12) (e13)) = (e12)) = ((e13) = (e12))). % 83.75/83.98 intro zenon_D_pnotp. % 83.75/83.98 apply zenon_H25b. % 83.75/83.98 rewrite <- zenon_D_pnotp. % 83.75/83.98 exact zenon_H1b4. % 83.75/83.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 83.75/83.98 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3f4]. % 83.75/83.98 congruence. % 83.75/83.98 exact (zenon_H3f4 zenon_H363). % 83.75/83.98 apply zenon_H2b. apply refl_equal. % 83.75/83.98 apply zenon_H1f0. apply refl_equal. % 83.75/83.98 apply zenon_H1f0. apply refl_equal. % 83.75/83.98 (* end of lemma zenon_L1019_ *) % 83.75/83.98 assert (zenon_L1020_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.75/83.98 do 0 intro. intros zenon_H2e7 zenon_H169 zenon_H1c2 zenon_H195 zenon_H1bf zenon_H2da zenon_H2d9 zenon_H17 zenon_H14 zenon_H236. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.75/83.98 apply (zenon_L114_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.75/83.98 apply (zenon_L113_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.75/83.98 apply (zenon_L223_); trivial. % 83.75/83.98 apply (zenon_L149_); trivial. % 83.75/83.98 (* end of lemma zenon_L1020_ *) % 83.75/83.98 assert (zenon_L1021_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e11) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e12) = (e13))) -> ((op1 (e12) (e13)) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 83.75/83.98 do 0 intro. intros zenon_H345 zenon_H49 zenon_H2c zenon_H2e zenon_H1eb zenon_H25a zenon_H363 zenon_H2e7 zenon_H169 zenon_H1c2 zenon_H195 zenon_H1bf zenon_H2d9 zenon_H17 zenon_H14 zenon_H236. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H48 | zenon_intro zenon_H349 ]. % 83.75/83.98 apply (zenon_L14_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H34a ]. % 83.75/83.98 apply (zenon_L125_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2da ]. % 83.75/83.98 apply (zenon_L1019_); trivial. % 83.75/83.98 apply (zenon_L1020_); trivial. % 83.75/83.98 (* end of lemma zenon_L1021_ *) % 83.75/83.98 assert (zenon_L1022_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> (~((op1 (e10) (e11)) = (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 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.98 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H1ee zenon_H20d zenon_H1ff zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H16 zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H25a zenon_H2e zenon_H345 zenon_H6bd zenon_H5c zenon_H4cf zenon_H5d zenon_H68b zenon_H78 zenon_H230 zenon_H365 zenon_H1a0 zenon_H1f4 zenon_H53 zenon_H19a zenon_H1c2 zenon_H163 zenon_H1b0 zenon_H4d zenon_H45 zenon_H3a zenon_H49 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.75/83.98 apply (zenon_L7_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.75/83.98 apply (zenon_L178_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.75/83.98 apply (zenon_L93_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.75/83.98 apply (zenon_L3_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.75/83.98 apply (zenon_L3_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ]. % 83.75/83.98 apply (zenon_L115_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.75/83.98 apply (zenon_L177_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.75/83.98 apply (zenon_L180_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.75/83.98 apply (zenon_L105_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ]. % 83.75/83.98 apply (zenon_L131_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ]. % 83.75/83.98 apply (zenon_L148_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ]. % 83.75/83.98 apply (zenon_L1018_); trivial. % 83.75/83.98 apply (zenon_L1021_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ]. % 83.75/83.98 apply (zenon_L181_); trivial. % 83.75/83.98 apply (zenon_L15_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.75/83.98 apply (zenon_L131_); trivial. % 83.75/83.98 apply (zenon_L135_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.75/83.98 apply (zenon_L4_); trivial. % 83.75/83.98 apply (zenon_L5_); trivial. % 83.75/83.98 (* end of lemma zenon_L1022_ *) % 83.75/83.98 assert (zenon_L1023_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (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) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e22)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.98 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1e4 zenon_H1e0 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H53 zenon_H1f4 zenon_H1a0 zenon_H365 zenon_H230 zenon_H78 zenon_H68b zenon_H5d zenon_H4cf zenon_H5c zenon_H6bd zenon_H345 zenon_H2e zenon_H25a zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.98 apply (zenon_L11_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.98 apply (zenon_L20_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.98 apply (zenon_L22_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.98 apply (zenon_L11_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.98 apply (zenon_L129_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.98 apply (zenon_L1022_); trivial. % 83.75/83.98 apply (zenon_L138_); trivial. % 83.75/83.98 (* end of lemma zenon_L1023_ *) % 83.75/83.98 assert (zenon_L1024_ : ((op2 (e23) (e22)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> False). % 83.75/83.98 do 0 intro. intros zenon_H121 zenon_H582 zenon_H21e. % 83.75/83.98 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ]. % 83.75/83.98 cut (((e23) = (e23)) = ((e20) = (e23))). % 83.75/83.98 intro zenon_D_pnotp. % 83.75/83.98 apply zenon_H21e. % 83.75/83.98 rewrite <- zenon_D_pnotp. % 83.75/83.98 exact zenon_Hd7. % 83.75/83.98 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 83.75/83.98 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H21f]. % 83.75/83.98 congruence. % 83.75/83.98 cut (((op2 (e23) (e22)) = (e20)) = ((e23) = (e20))). % 83.75/83.98 intro zenon_D_pnotp. % 83.75/83.98 apply zenon_H21f. % 83.75/83.98 rewrite <- zenon_D_pnotp. % 83.75/83.98 exact zenon_H121. % 83.75/83.98 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.75/83.98 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5f9]. % 83.75/83.98 congruence. % 83.75/83.98 exact (zenon_H5f9 zenon_H582). % 83.75/83.98 apply zenon_H60. apply refl_equal. % 83.75/83.98 apply zenon_Hd8. apply refl_equal. % 83.75/83.98 apply zenon_Hd8. apply refl_equal. % 83.75/83.98 (* end of lemma zenon_L1024_ *) % 83.75/83.98 assert (zenon_L1025_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.98 do 0 intro. intros zenon_H134 zenon_Hc3 zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_Hb8 zenon_H14b zenon_H21e zenon_H582 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.75/83.98 apply (zenon_L143_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.75/83.98 apply (zenon_L81_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.75/83.98 apply (zenon_L1024_); trivial. % 83.75/83.98 apply (zenon_L36_); trivial. % 83.75/83.98 (* end of lemma zenon_L1025_ *) % 83.75/83.98 assert (zenon_L1026_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e11)) = (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 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.98 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hbc zenon_Hd6 zenon_H21d zenon_H21e zenon_H605 zenon_H129 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H25a zenon_H2e zenon_H345 zenon_H6bd zenon_H5c zenon_H68b zenon_H230 zenon_H365 zenon_H1a0 zenon_H1f4 zenon_H53 zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H4d zenon_H45 zenon_H3a zenon_H49 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H1e0 zenon_H1e4 zenon_H220 zenon_H61 zenon_H134 zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_H14b zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.98 apply (zenon_L41_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.98 apply (zenon_L151_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.98 apply (zenon_L47_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.98 apply (zenon_L43_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.98 apply (zenon_L43_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H610 ]. % 83.75/83.98 apply (zenon_L46_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H610); [ zenon_intro zenon_H12a | zenon_intro zenon_H611 ]. % 83.75/83.98 apply (zenon_L72_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H4cf | zenon_intro zenon_H582 ]. % 83.75/83.98 apply (zenon_L1023_); trivial. % 83.75/83.98 apply (zenon_L1025_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.98 apply (zenon_L139_); trivial. % 83.75/83.98 apply (zenon_L88_); trivial. % 83.75/83.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.98 apply (zenon_L46_); trivial. % 83.75/83.98 apply (zenon_L31_); trivial. % 83.75/83.98 (* end of lemma zenon_L1026_ *) % 83.75/83.98 assert (zenon_L1027_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e22)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.99 do 0 intro. intros zenon_H220 zenon_H245 zenon_H249 zenon_H1f5 zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H53 zenon_H1f4 zenon_H1a0 zenon_H365 zenon_H230 zenon_H78 zenon_H68b zenon_H5d zenon_H4cf zenon_H5c zenon_H6bd zenon_H345 zenon_H2e zenon_H25a zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.99 apply (zenon_L11_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.99 apply (zenon_L154_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.99 apply (zenon_L1022_); trivial. % 83.75/83.99 apply (zenon_L138_); trivial. % 83.75/83.99 (* end of lemma zenon_L1027_ *) % 83.75/83.99 assert (zenon_L1028_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e11)) = (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 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.99 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hbc zenon_Hd6 zenon_H21d zenon_H21e zenon_H605 zenon_H129 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H25a zenon_H2e zenon_H345 zenon_H6bd zenon_H5c zenon_H68b zenon_H230 zenon_H365 zenon_H1a0 zenon_H1f4 zenon_H53 zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H4d zenon_H45 zenon_H3a zenon_H49 zenon_H1f5 zenon_H249 zenon_H245 zenon_H220 zenon_H134 zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_H14b zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.99 apply (zenon_L41_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.99 apply (zenon_L151_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.99 apply (zenon_L47_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.99 apply (zenon_L43_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.99 apply (zenon_L43_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H610 ]. % 83.75/83.99 apply (zenon_L46_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H610); [ zenon_intro zenon_H12a | zenon_intro zenon_H611 ]. % 83.75/83.99 apply (zenon_L72_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H4cf | zenon_intro zenon_H582 ]. % 83.75/83.99 apply (zenon_L1027_); trivial. % 83.75/83.99 apply (zenon_L1025_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.99 apply (zenon_L139_); trivial. % 83.75/83.99 apply (zenon_L88_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.99 apply (zenon_L46_); trivial. % 83.75/83.99 apply (zenon_L31_); trivial. % 83.75/83.99 (* end of lemma zenon_L1028_ *) % 83.75/83.99 assert (zenon_L1029_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (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) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e22)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.99 do 0 intro. intros zenon_H61 zenon_H220 zenon_H24d zenon_H256 zenon_H252 zenon_H253 zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H53 zenon_H1f4 zenon_H1a0 zenon_H365 zenon_H230 zenon_H78 zenon_H68b zenon_H5d zenon_H4cf zenon_H5c zenon_H6bd zenon_H345 zenon_H2e zenon_H25a zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.99 apply (zenon_L11_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.99 apply (zenon_L20_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.99 apply (zenon_L22_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.99 apply (zenon_L11_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.99 apply (zenon_L164_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.99 apply (zenon_L1022_); trivial. % 83.75/83.99 apply (zenon_L138_); trivial. % 83.75/83.99 (* end of lemma zenon_L1029_ *) % 83.75/83.99 assert (zenon_L1030_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e11)) = (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 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.99 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hbc zenon_Hd6 zenon_H21d zenon_H21e zenon_H605 zenon_H129 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H25a zenon_H2e zenon_H345 zenon_H6bd zenon_H5c zenon_H68b zenon_H230 zenon_H365 zenon_H1a0 zenon_H1f4 zenon_H53 zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H4d zenon_H45 zenon_H3a zenon_H49 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H25d zenon_H1e4 zenon_H229 zenon_H253 zenon_H252 zenon_H256 zenon_H24d zenon_H220 zenon_H61 zenon_H134 zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_H14b zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.99 apply (zenon_L41_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.99 apply (zenon_L151_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.99 apply (zenon_L47_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.99 apply (zenon_L43_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.99 apply (zenon_L43_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H610 ]. % 83.75/83.99 apply (zenon_L46_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H610); [ zenon_intro zenon_H12a | zenon_intro zenon_H611 ]. % 83.75/83.99 apply (zenon_L72_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H4cf | zenon_intro zenon_H582 ]. % 83.75/83.99 apply (zenon_L1029_); trivial. % 83.75/83.99 apply (zenon_L1025_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.99 apply (zenon_L139_); trivial. % 83.75/83.99 apply (zenon_L88_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.99 apply (zenon_L46_); trivial. % 83.75/83.99 apply (zenon_L31_); trivial. % 83.75/83.99 (* end of lemma zenon_L1030_ *) % 83.75/83.99 assert (zenon_L1031_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e22)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.99 do 0 intro. intros zenon_H61 zenon_H220 zenon_H260 zenon_H1f5 zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H53 zenon_H1f4 zenon_H1a0 zenon_H365 zenon_H230 zenon_H78 zenon_H68b zenon_H5d zenon_H4cf zenon_H5c zenon_H6bd zenon_H345 zenon_H2e zenon_H25a zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.99 apply (zenon_L11_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.99 apply (zenon_L20_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.99 apply (zenon_L22_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.99 apply (zenon_L11_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.99 apply (zenon_L167_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.99 apply (zenon_L1022_); trivial. % 83.75/83.99 apply (zenon_L138_); trivial. % 83.75/83.99 (* end of lemma zenon_L1031_ *) % 83.75/83.99 assert (zenon_L1032_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e11)) = (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 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.99 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hbc zenon_Hd6 zenon_H21d zenon_H21e zenon_H605 zenon_H129 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H25a zenon_H2e zenon_H345 zenon_H6bd zenon_H5c zenon_H68b zenon_H230 zenon_H365 zenon_H1a0 zenon_H1f4 zenon_H53 zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H4d zenon_H45 zenon_H3a zenon_H49 zenon_H1f5 zenon_H260 zenon_H220 zenon_H61 zenon_H134 zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_H14b zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.99 apply (zenon_L41_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.99 apply (zenon_L151_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.99 apply (zenon_L47_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.99 apply (zenon_L43_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.99 apply (zenon_L43_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H610 ]. % 83.75/83.99 apply (zenon_L46_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H610); [ zenon_intro zenon_H12a | zenon_intro zenon_H611 ]. % 83.75/83.99 apply (zenon_L72_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H4cf | zenon_intro zenon_H582 ]. % 83.75/83.99 apply (zenon_L1031_); trivial. % 83.75/83.99 apply (zenon_L1025_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.99 apply (zenon_L139_); trivial. % 83.75/83.99 apply (zenon_L88_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.99 apply (zenon_L46_); trivial. % 83.75/83.99 apply (zenon_L31_); trivial. % 83.75/83.99 (* end of lemma zenon_L1032_ *) % 83.75/83.99 assert (zenon_L1033_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (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) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e22)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.99 do 0 intro. intros zenon_H61 zenon_H220 zenon_H266 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H53 zenon_H1f4 zenon_H1a0 zenon_H365 zenon_H230 zenon_H78 zenon_H68b zenon_H5d zenon_H4cf zenon_H5c zenon_H6bd zenon_H345 zenon_H2e zenon_H25a zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.75/83.99 apply (zenon_L11_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.75/83.99 apply (zenon_L20_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.75/83.99 apply (zenon_L22_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.75/83.99 apply (zenon_L11_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.75/83.99 apply (zenon_L171_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.75/83.99 apply (zenon_L1022_); trivial. % 83.75/83.99 apply (zenon_L138_); trivial. % 83.75/83.99 (* end of lemma zenon_L1033_ *) % 83.75/83.99 assert (zenon_L1034_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e11)) = (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 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.75/83.99 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hbc zenon_Hd6 zenon_H21d zenon_H21e zenon_H605 zenon_H129 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H25a zenon_H2e zenon_H345 zenon_H6bd zenon_H5c zenon_H68b zenon_H230 zenon_H365 zenon_H1a0 zenon_H1f4 zenon_H53 zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H4d zenon_H45 zenon_H3a zenon_H49 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H266 zenon_H220 zenon_H61 zenon_H134 zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_H14b zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.75/83.99 apply (zenon_L41_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.75/83.99 apply (zenon_L151_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.75/83.99 apply (zenon_L47_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.75/83.99 apply (zenon_L43_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.75/83.99 apply (zenon_L43_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H610 ]. % 83.75/83.99 apply (zenon_L46_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H610); [ zenon_intro zenon_H12a | zenon_intro zenon_H611 ]. % 83.75/83.99 apply (zenon_L72_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H4cf | zenon_intro zenon_H582 ]. % 83.75/83.99 apply (zenon_L1033_); trivial. % 83.75/83.99 apply (zenon_L1025_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.75/83.99 apply (zenon_L139_); trivial. % 83.75/83.99 apply (zenon_L88_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.75/83.99 apply (zenon_L46_); trivial. % 83.75/83.99 apply (zenon_L31_); trivial. % 83.75/83.99 (* end of lemma zenon_L1034_ *) % 83.75/83.99 assert (zenon_L1035_ : (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> False). % 83.75/83.99 do 0 intro. intros zenon_H6c8 zenon_H1b4 zenon_Hfd zenon_H68b zenon_H78 zenon_H5c zenon_H5d. % 83.75/83.99 cut (((h1 (e12)) = (op2 (e20) (e20))) = ((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))). % 83.75/83.99 intro zenon_D_pnotp. % 83.75/83.99 apply zenon_H6c8. % 83.75/83.99 rewrite <- zenon_D_pnotp. % 83.75/83.99 exact zenon_H68b. % 83.75/83.99 cut (((op2 (e20) (e20)) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6c9]. % 83.75/83.99 cut (((h1 (e12)) = (h1 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6ca]. % 83.75/83.99 congruence. % 83.75/83.99 elim (classic ((h1 (op1 (e12) (e13))) = (h1 (op1 (e12) (e13))))); [ zenon_intro zenon_H6cb | zenon_intro zenon_H6cc ]. % 83.75/83.99 cut (((h1 (op1 (e12) (e13))) = (h1 (op1 (e12) (e13)))) = ((h1 (e12)) = (h1 (op1 (e12) (e13))))). % 83.75/83.99 intro zenon_D_pnotp. % 83.75/83.99 apply zenon_H6ca. % 83.75/83.99 rewrite <- zenon_D_pnotp. % 83.75/83.99 exact zenon_H6cb. % 83.75/83.99 cut (((h1 (op1 (e12) (e13))) = (h1 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6cc]. % 83.75/83.99 cut (((h1 (op1 (e12) (e13))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H6cd]. % 83.75/83.99 congruence. % 83.75/83.99 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1b5]. % 83.75/83.99 congruence. % 83.75/83.99 exact (zenon_H1b5 zenon_H1b4). % 83.75/83.99 apply zenon_H6cc. apply refl_equal. % 83.75/83.99 apply zenon_H6cc. apply refl_equal. % 83.75/83.99 elim (classic ((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [ zenon_intro zenon_H6ce | zenon_intro zenon_H6cf ]. % 83.75/83.99 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13)))) = ((op2 (e20) (e20)) = (op2 (h1 (e12)) (h1 (e13))))). % 83.75/83.99 intro zenon_D_pnotp. % 83.75/83.99 apply zenon_H6c9. % 83.75/83.99 rewrite <- zenon_D_pnotp. % 83.75/83.99 exact zenon_H6ce. % 83.75/83.99 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6cf]. % 83.75/83.99 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6d0]. % 83.75/83.99 congruence. % 83.75/83.99 cut (((op2 (e22) (e23)) = (e22)) = ((op2 (h1 (e12)) (h1 (e13))) = (op2 (e20) (e20)))). % 83.75/83.99 intro zenon_D_pnotp. % 83.75/83.99 apply zenon_H6d0. % 83.75/83.99 rewrite <- zenon_D_pnotp. % 83.75/83.99 exact zenon_Hfd. % 83.75/83.99 cut (((e22) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H696]. % 83.75/83.99 cut (((op2 (e22) (e23)) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6d1]. % 83.75/83.99 congruence. % 83.75/83.99 elim (classic ((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [ zenon_intro zenon_H6ce | zenon_intro zenon_H6cf ]. % 83.75/83.99 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13)))) = ((op2 (e22) (e23)) = (op2 (h1 (e12)) (h1 (e13))))). % 83.75/83.99 intro zenon_D_pnotp. % 83.75/83.99 apply zenon_H6d1. % 83.75/83.99 rewrite <- zenon_D_pnotp. % 83.75/83.99 exact zenon_H6ce. % 83.75/83.99 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6cf]. % 83.75/83.99 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H6d2]. % 83.75/83.99 congruence. % 83.75/83.99 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 83.75/83.99 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a]. % 83.75/83.99 congruence. % 83.75/83.99 apply (zenon_L978_); trivial. % 83.75/83.99 apply (zenon_L23_); trivial. % 83.75/83.99 apply zenon_H6cf. apply refl_equal. % 83.75/83.99 apply zenon_H6cf. apply refl_equal. % 83.75/83.99 exact (zenon_H696 zenon_H78). % 83.75/83.99 apply zenon_H6cf. apply refl_equal. % 83.75/83.99 apply zenon_H6cf. apply refl_equal. % 83.75/83.99 (* end of lemma zenon_L1035_ *) % 83.75/83.99 assert (zenon_L1036_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.75/83.99 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H1ee zenon_H1ff zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H16 zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_Hfd zenon_H68b zenon_H78 zenon_H5c zenon_H5d zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H20a zenon_H16b zenon_H1b0 zenon_H45 zenon_H42 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.75/83.99 apply (zenon_L7_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.75/83.99 apply (zenon_L178_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.75/83.99 apply (zenon_L179_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.75/83.99 apply (zenon_L3_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ]. % 83.75/83.99 apply (zenon_L3_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ]. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ]. % 83.75/83.99 apply (zenon_L115_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ]. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ]. % 83.75/83.99 apply (zenon_L177_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ]. % 83.75/83.99 apply (zenon_L180_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ]. % 83.75/83.99 apply (zenon_L105_); trivial. % 83.75/83.99 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H48 | zenon_intro zenon_H349 ]. % 83.75/83.99 apply (zenon_L14_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H34a ]. % 83.88/84.00 apply (zenon_L125_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2da ]. % 83.88/84.00 apply (zenon_L1035_); trivial. % 83.88/84.00 apply (zenon_L1020_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ]. % 83.88/84.00 apply (zenon_L181_); trivial. % 83.88/84.00 apply (zenon_L13_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ]. % 83.88/84.00 apply (zenon_L131_); trivial. % 83.88/84.00 apply (zenon_L128_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.88/84.00 apply (zenon_L4_); trivial. % 83.88/84.00 apply (zenon_L5_); trivial. % 83.88/84.00 (* end of lemma zenon_L1036_ *) % 83.88/84.00 assert (zenon_L1037_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.88/84.00 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1e4 zenon_H1e0 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5d zenon_H5c zenon_H78 zenon_H68b zenon_Hfd zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.88/84.00 apply (zenon_L11_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.88/84.00 apply (zenon_L20_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.88/84.00 apply (zenon_L22_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.88/84.00 apply (zenon_L11_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.88/84.00 apply (zenon_L129_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.88/84.00 apply (zenon_L1036_); trivial. % 83.88/84.00 apply (zenon_L138_); trivial. % 83.88/84.00 (* end of lemma zenon_L1037_ *) % 83.88/84.00 assert (zenon_L1038_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.88/84.00 do 0 intro. intros zenon_H57f zenon_H82 zenon_Ha8 zenon_H13c zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H78 zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H1e0 zenon_H1e4 zenon_H220 zenon_H61 zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.88/84.00 apply (zenon_L29_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.88/84.00 apply (zenon_L77_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.88/84.00 apply (zenon_L1037_); trivial. % 83.88/84.00 apply (zenon_L602_); trivial. % 83.88/84.00 (* end of lemma zenon_L1038_ *) % 83.88/84.00 assert (zenon_L1039_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (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 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.88/84.00 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Hd2 zenon_H124 zenon_H134 zenon_Hc3 zenon_H11b zenon_Had zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_Hb8 zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H10c zenon_H50f zenon_H515 zenon_H61 zenon_H220 zenon_H1e4 zenon_H1e0 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5c zenon_H68b zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Ha8 zenon_H57f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.88/84.00 apply (zenon_L52_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.88/84.00 apply (zenon_L536_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.88/84.00 apply (zenon_L71_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.88/84.00 apply (zenon_L143_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.88/84.00 apply (zenon_L81_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.88/84.00 apply (zenon_L1038_); trivial. % 83.88/84.00 apply (zenon_L36_); trivial. % 83.88/84.00 (* end of lemma zenon_L1039_ *) % 83.88/84.00 assert (zenon_L1040_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (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)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.88/84.00 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_H57f zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H1e0 zenon_H1e4 zenon_H220 zenon_H61 zenon_H515 zenon_H50f zenon_H13e zenon_H4fb zenon_H511 zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H112 zenon_H11b zenon_H134 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.88/84.00 apply (zenon_L41_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.88/84.00 apply (zenon_L151_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.88/84.00 apply (zenon_L47_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.88/84.00 apply (zenon_L43_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.88/84.00 apply (zenon_L43_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.88/84.00 apply (zenon_L82_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.88/84.00 apply (zenon_L1039_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.88/84.00 apply (zenon_L543_); trivial. % 83.88/84.00 apply (zenon_L32_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.88/84.00 apply (zenon_L139_); trivial. % 83.88/84.00 apply (zenon_L88_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.88/84.00 apply (zenon_L46_); trivial. % 83.88/84.00 apply (zenon_L31_); trivial. % 83.88/84.00 (* end of lemma zenon_L1040_ *) % 83.88/84.00 assert (zenon_L1041_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.88/84.00 do 0 intro. intros zenon_H61 zenon_H220 zenon_H245 zenon_H249 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5d zenon_H5c zenon_H78 zenon_H68b zenon_Hfd zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.88/84.00 apply (zenon_L11_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.88/84.00 apply (zenon_L20_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.88/84.00 apply (zenon_L22_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.88/84.00 apply (zenon_L11_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.88/84.00 apply (zenon_L154_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.88/84.00 apply (zenon_L1036_); trivial. % 83.88/84.00 apply (zenon_L138_); trivial. % 83.88/84.00 (* end of lemma zenon_L1041_ *) % 83.88/84.00 assert (zenon_L1042_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.88/84.00 do 0 intro. intros zenon_H57f zenon_H82 zenon_Ha8 zenon_H13c zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H78 zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H249 zenon_H245 zenon_H220 zenon_H61 zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.88/84.00 apply (zenon_L29_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.88/84.00 apply (zenon_L77_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.88/84.00 apply (zenon_L1041_); trivial. % 83.88/84.00 apply (zenon_L602_); trivial. % 83.88/84.00 (* end of lemma zenon_L1042_ *) % 83.88/84.00 assert (zenon_L1043_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (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 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.88/84.00 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Hd2 zenon_H124 zenon_H134 zenon_Hc3 zenon_H11b zenon_Had zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_Hb8 zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H10c zenon_H50f zenon_H515 zenon_H61 zenon_H220 zenon_H245 zenon_H249 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5c zenon_H68b zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Ha8 zenon_H57f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.88/84.00 apply (zenon_L52_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.88/84.00 apply (zenon_L536_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.88/84.00 apply (zenon_L71_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.88/84.00 apply (zenon_L143_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.88/84.00 apply (zenon_L81_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.88/84.00 apply (zenon_L1042_); trivial. % 83.88/84.00 apply (zenon_L36_); trivial. % 83.88/84.00 (* end of lemma zenon_L1043_ *) % 83.88/84.00 assert (zenon_L1044_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (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)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.88/84.00 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_H57f zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H249 zenon_H245 zenon_H220 zenon_H61 zenon_H515 zenon_H50f zenon_H13e zenon_H4fb zenon_H511 zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H112 zenon_H11b zenon_H134 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.88/84.00 apply (zenon_L41_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.88/84.00 apply (zenon_L151_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.88/84.00 apply (zenon_L47_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.88/84.00 apply (zenon_L43_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.88/84.00 apply (zenon_L43_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.88/84.00 apply (zenon_L82_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.88/84.00 apply (zenon_L1043_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.88/84.00 apply (zenon_L543_); trivial. % 83.88/84.00 apply (zenon_L32_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.88/84.00 apply (zenon_L139_); trivial. % 83.88/84.00 apply (zenon_L88_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.88/84.00 apply (zenon_L46_); trivial. % 83.88/84.00 apply (zenon_L31_); trivial. % 83.88/84.00 (* end of lemma zenon_L1044_ *) % 83.88/84.00 assert (zenon_L1045_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.88/84.00 do 0 intro. intros zenon_H61 zenon_H220 zenon_H24d zenon_H25a zenon_H256 zenon_H252 zenon_H253 zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5d zenon_H5c zenon_H78 zenon_H68b zenon_Hfd zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.88/84.00 apply (zenon_L11_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.88/84.00 apply (zenon_L20_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.88/84.00 apply (zenon_L22_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.88/84.00 apply (zenon_L11_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.88/84.00 apply (zenon_L164_); trivial. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.88/84.00 apply (zenon_L1036_); trivial. % 83.88/84.00 apply (zenon_L138_); trivial. % 83.88/84.00 (* end of lemma zenon_L1045_ *) % 83.88/84.00 assert (zenon_L1046_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.88/84.00 do 0 intro. intros zenon_H57f zenon_H82 zenon_Ha8 zenon_H13c zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H78 zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H25d zenon_H1e4 zenon_H229 zenon_H253 zenon_H252 zenon_H256 zenon_H25a zenon_H24d zenon_H220 zenon_H61 zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511. % 83.88/84.00 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.88/84.01 apply (zenon_L29_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.88/84.01 apply (zenon_L77_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.88/84.01 apply (zenon_L1045_); trivial. % 83.88/84.01 apply (zenon_L602_); trivial. % 83.88/84.01 (* end of lemma zenon_L1046_ *) % 83.88/84.01 assert (zenon_L1047_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (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 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.88/84.01 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Hd2 zenon_H124 zenon_H134 zenon_Hc3 zenon_H11b zenon_Had zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_Hb8 zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H10c zenon_H50f zenon_H515 zenon_H61 zenon_H220 zenon_H24d zenon_H25a zenon_H256 zenon_H252 zenon_H253 zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5c zenon_H68b zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Ha8 zenon_H57f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.88/84.01 apply (zenon_L52_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.88/84.01 apply (zenon_L536_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.88/84.01 apply (zenon_L71_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.88/84.01 apply (zenon_L143_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.88/84.01 apply (zenon_L81_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.88/84.01 apply (zenon_L1046_); trivial. % 83.88/84.01 apply (zenon_L36_); trivial. % 83.88/84.01 (* end of lemma zenon_L1047_ *) % 83.88/84.01 assert (zenon_L1048_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (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)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.88/84.01 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_H57f zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H25d zenon_H1e4 zenon_H229 zenon_H253 zenon_H252 zenon_H256 zenon_H25a zenon_H24d zenon_H220 zenon_H61 zenon_H515 zenon_H50f zenon_H13e zenon_H4fb zenon_H511 zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H112 zenon_H11b zenon_H134 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.88/84.01 apply (zenon_L41_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.88/84.01 apply (zenon_L151_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.88/84.01 apply (zenon_L47_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.88/84.01 apply (zenon_L43_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.88/84.01 apply (zenon_L43_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.88/84.01 apply (zenon_L82_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.88/84.01 apply (zenon_L1047_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.88/84.01 apply (zenon_L543_); trivial. % 83.88/84.01 apply (zenon_L32_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.88/84.01 apply (zenon_L139_); trivial. % 83.88/84.01 apply (zenon_L88_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.88/84.01 apply (zenon_L46_); trivial. % 83.88/84.01 apply (zenon_L31_); trivial. % 83.88/84.01 (* end of lemma zenon_L1048_ *) % 83.88/84.01 assert (zenon_L1049_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.88/84.01 do 0 intro. intros zenon_H61 zenon_H220 zenon_H260 zenon_H230 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5d zenon_H5c zenon_H78 zenon_H68b zenon_Hfd zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.88/84.01 apply (zenon_L11_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.88/84.01 apply (zenon_L20_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.88/84.01 apply (zenon_L22_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.88/84.01 apply (zenon_L11_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.88/84.01 apply (zenon_L167_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.88/84.01 apply (zenon_L1036_); trivial. % 83.88/84.01 apply (zenon_L138_); trivial. % 83.88/84.01 (* end of lemma zenon_L1049_ *) % 83.88/84.01 assert (zenon_L1050_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.88/84.01 do 0 intro. intros zenon_H57f zenon_H82 zenon_Ha8 zenon_H13c zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H78 zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H230 zenon_H260 zenon_H220 zenon_H61 zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.88/84.01 apply (zenon_L29_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.88/84.01 apply (zenon_L77_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.88/84.01 apply (zenon_L1049_); trivial. % 83.88/84.01 apply (zenon_L602_); trivial. % 83.88/84.01 (* end of lemma zenon_L1050_ *) % 83.88/84.01 assert (zenon_L1051_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (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 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.88/84.01 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Hd2 zenon_H124 zenon_H134 zenon_Hc3 zenon_H11b zenon_Had zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_Hb8 zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H10c zenon_H50f zenon_H515 zenon_H61 zenon_H220 zenon_H260 zenon_H230 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5c zenon_H68b zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Ha8 zenon_H57f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.88/84.01 apply (zenon_L52_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.88/84.01 apply (zenon_L536_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.88/84.01 apply (zenon_L71_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.88/84.01 apply (zenon_L143_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.88/84.01 apply (zenon_L81_); trivial. % 83.88/84.01 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.88/84.01 apply (zenon_L1050_); trivial. % 83.88/84.01 apply (zenon_L36_); trivial. % 83.88/84.01 (* end of lemma zenon_L1051_ *) % 83.88/84.01 assert (zenon_L1052_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (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)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_H57f zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H230 zenon_H260 zenon_H220 zenon_H61 zenon_H515 zenon_H50f zenon_H13e zenon_H4fb zenon_H511 zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H112 zenon_H11b zenon_H134 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.89/84.01 apply (zenon_L41_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.89/84.01 apply (zenon_L151_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.89/84.01 apply (zenon_L152_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.89/84.01 apply (zenon_L43_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.89/84.01 apply (zenon_L43_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.89/84.01 apply (zenon_L82_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.89/84.01 apply (zenon_L1051_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.89/84.01 apply (zenon_L543_); trivial. % 83.89/84.01 apply (zenon_L32_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.89/84.01 apply (zenon_L139_); trivial. % 83.89/84.01 apply (zenon_L88_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.89/84.01 apply (zenon_L46_); trivial. % 83.89/84.01 apply (zenon_L31_); trivial. % 83.89/84.01 (* end of lemma zenon_L1052_ *) % 83.89/84.01 assert (zenon_L1053_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H61 zenon_H220 zenon_H266 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5d zenon_H5c zenon_H78 zenon_H68b zenon_Hfd zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.89/84.01 apply (zenon_L11_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.89/84.01 apply (zenon_L20_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.89/84.01 apply (zenon_L22_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.89/84.01 apply (zenon_L11_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.89/84.01 apply (zenon_L171_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.89/84.01 apply (zenon_L1036_); trivial. % 83.89/84.01 apply (zenon_L138_); trivial. % 83.89/84.01 (* end of lemma zenon_L1053_ *) % 83.89/84.01 assert (zenon_L1054_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> False). % 83.89/84.01 do 0 intro. intros zenon_H57f zenon_H82 zenon_Ha8 zenon_H13c zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H78 zenon_H5c zenon_H5d zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H266 zenon_H220 zenon_H61 zenon_H4fb zenon_H10f. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ]. % 83.89/84.01 apply (zenon_L29_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ]. % 83.89/84.01 apply (zenon_L77_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ]. % 83.89/84.01 apply (zenon_L1053_); trivial. % 83.89/84.01 apply (zenon_L593_); trivial. % 83.89/84.01 (* end of lemma zenon_L1054_ *) % 83.89/84.01 assert (zenon_L1055_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H518 zenon_H509 zenon_H61 zenon_H220 zenon_H266 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5c zenon_H68b zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H13c zenon_Ha8 zenon_H82 zenon_H57f zenon_Hd5 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H12c zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ]. % 83.89/84.01 apply (zenon_L597_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ]. % 83.89/84.01 apply (zenon_L1054_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ]. % 83.89/84.01 apply (zenon_L599_); trivial. % 83.89/84.01 apply (zenon_L602_); trivial. % 83.89/84.01 (* end of lemma zenon_L1055_ *) % 83.89/84.01 assert (zenon_L1056_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (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 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_H518 zenon_H509 zenon_H61 zenon_H220 zenon_H266 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5c zenon_H68b zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H57f zenon_H129 zenon_H11f zenon_H12c zenon_H515 zenon_H50f zenon_H13e zenon_H4fb zenon_H511 zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H112 zenon_H11b zenon_H134 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.89/84.01 apply (zenon_L41_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.89/84.01 apply (zenon_L151_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.89/84.01 apply (zenon_L152_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.89/84.01 apply (zenon_L43_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.89/84.01 apply (zenon_L43_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.89/84.01 apply (zenon_L82_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.89/84.01 apply (zenon_L52_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.89/84.01 apply (zenon_L536_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.89/84.01 apply (zenon_L71_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.89/84.01 apply (zenon_L143_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.89/84.01 apply (zenon_L81_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.89/84.01 apply (zenon_L1055_); trivial. % 83.89/84.01 apply (zenon_L36_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.89/84.01 apply (zenon_L543_); trivial. % 83.89/84.01 apply (zenon_L32_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.89/84.01 apply (zenon_L139_); trivial. % 83.89/84.01 apply (zenon_L88_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.89/84.01 apply (zenon_L46_); trivial. % 83.89/84.01 apply (zenon_L31_); trivial. % 83.89/84.01 (* end of lemma zenon_L1056_ *) % 83.89/84.01 assert (zenon_L1057_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e10)) -> (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e20)) = (e21)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e10)) = (e20)) -> False). % 83.89/84.01 do 0 intro. intros zenon_H1f3 zenon_H2e zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H1f5 zenon_H16 zenon_H200 zenon_H20d zenon_H1ee zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H173 zenon_H163 zenon_H1ff zenon_H6d3 zenon_H1fd zenon_H10c zenon_H7a zenon_H5c zenon_H5d zenon_H64. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.89/84.01 apply (zenon_L7_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.89/84.01 apply (zenon_L178_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.89/84.01 apply (zenon_L179_); trivial. % 83.89/84.01 cut (((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) = ((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))). % 83.89/84.01 intro zenon_D_pnotp. % 83.89/84.01 apply zenon_H6d3. % 83.89/84.01 rewrite <- zenon_D_pnotp. % 83.89/84.01 exact zenon_H1fd. % 83.89/84.01 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e13)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6d4]. % 83.89/84.01 cut (((h1 (e11)) = (h1 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6d5]. % 83.89/84.01 congruence. % 83.89/84.01 elim (classic ((h1 (op1 (e13) (e10))) = (h1 (op1 (e13) (e10))))); [ zenon_intro zenon_H6d6 | zenon_intro zenon_H6d7 ]. % 83.89/84.01 cut (((h1 (op1 (e13) (e10))) = (h1 (op1 (e13) (e10)))) = ((h1 (e11)) = (h1 (op1 (e13) (e10))))). % 83.89/84.01 intro zenon_D_pnotp. % 83.89/84.01 apply zenon_H6d5. % 83.89/84.01 rewrite <- zenon_D_pnotp. % 83.89/84.01 exact zenon_H6d6. % 83.89/84.01 cut (((h1 (op1 (e13) (e10))) = (h1 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6d7]. % 83.89/84.01 cut (((h1 (op1 (e13) (e10))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6d8]. % 83.89/84.01 congruence. % 83.89/84.01 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H196]. % 83.89/84.01 congruence. % 83.89/84.01 exact (zenon_H196 zenon_H195). % 83.89/84.01 apply zenon_H6d7. apply refl_equal. % 83.89/84.01 apply zenon_H6d7. apply refl_equal. % 83.89/84.01 elim (classic ((op2 (h1 (e13)) (h1 (e10))) = (op2 (h1 (e13)) (h1 (e10))))); [ zenon_intro zenon_H6d9 | zenon_intro zenon_H6da ]. % 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e10))) = (op2 (h1 (e13)) (h1 (e10)))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e13)) (h1 (e10))))). % 83.89/84.01 intro zenon_D_pnotp. % 83.89/84.01 apply zenon_H6d4. % 83.89/84.01 rewrite <- zenon_D_pnotp. % 83.89/84.01 exact zenon_H6d9. % 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e10))) = (op2 (h1 (e13)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6da]. % 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e10))) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6db]. % 83.89/84.01 congruence. % 83.89/84.01 cut (((op2 (e23) (e20)) = (e21)) = ((op2 (h1 (e13)) (h1 (e10))) = (op2 (e20) (op2 (e20) (e20))))). % 83.89/84.01 intro zenon_D_pnotp. % 83.89/84.01 apply zenon_H6db. % 83.89/84.01 rewrite <- zenon_D_pnotp. % 83.89/84.01 exact zenon_H10c. % 83.89/84.01 cut (((e21) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6a3]. % 83.89/84.01 cut (((op2 (e23) (e20)) = (op2 (h1 (e13)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6dc]. % 83.89/84.01 congruence. % 83.89/84.01 elim (classic ((op2 (h1 (e13)) (h1 (e10))) = (op2 (h1 (e13)) (h1 (e10))))); [ zenon_intro zenon_H6d9 | zenon_intro zenon_H6da ]. % 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e10))) = (op2 (h1 (e13)) (h1 (e10)))) = ((op2 (e23) (e20)) = (op2 (h1 (e13)) (h1 (e10))))). % 83.89/84.01 intro zenon_D_pnotp. % 83.89/84.01 apply zenon_H6dc. % 83.89/84.01 rewrite <- zenon_D_pnotp. % 83.89/84.01 exact zenon_H6d9. % 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e10))) = (op2 (h1 (e13)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6da]. % 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e10))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6dd]. % 83.89/84.01 congruence. % 83.89/84.01 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 83.89/84.01 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 83.89/84.01 congruence. % 83.89/84.01 apply (zenon_L23_); trivial. % 83.89/84.01 exact (zenon_H72 zenon_H64). % 83.89/84.01 apply zenon_H6da. apply refl_equal. % 83.89/84.01 apply zenon_H6da. apply refl_equal. % 83.89/84.01 exact (zenon_H6a3 zenon_H7a). % 83.89/84.01 apply zenon_H6da. apply refl_equal. % 83.89/84.01 apply zenon_H6da. apply refl_equal. % 83.89/84.01 (* end of lemma zenon_L1057_ *) % 83.89/84.01 assert (zenon_L1058_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e10)) = (e20)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H21e zenon_H11b zenon_Hd6 zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H21d zenon_H61 zenon_H220 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H64 zenon_H5d zenon_H5c zenon_H7a zenon_H1fd zenon_H6d3 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.89/84.01 apply (zenon_L41_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.89/84.01 apply (zenon_L151_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.89/84.01 apply (zenon_L152_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.89/84.01 apply (zenon_L11_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.89/84.01 apply (zenon_L20_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.89/84.01 apply (zenon_L22_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.89/84.01 apply (zenon_L11_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.89/84.01 apply (zenon_L129_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.89/84.01 apply (zenon_L1057_); trivial. % 83.89/84.01 apply (zenon_L138_); trivial. % 83.89/84.01 (* end of lemma zenon_L1058_ *) % 83.89/84.01 assert (zenon_L1059_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H21e zenon_H11b zenon_Hd6 zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H21d zenon_H220 zenon_H3f zenon_H3a zenon_H16d zenon_H245 zenon_H249 zenon_H64 zenon_H5d zenon_H5c zenon_H7a zenon_H1fd zenon_H6d3 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.89/84.01 apply (zenon_L41_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.89/84.01 apply (zenon_L151_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.89/84.01 apply (zenon_L152_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.89/84.01 apply (zenon_L11_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.89/84.01 apply (zenon_L154_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.89/84.01 apply (zenon_L1057_); trivial. % 83.89/84.01 apply (zenon_L138_); trivial. % 83.89/84.01 (* end of lemma zenon_L1059_ *) % 83.89/84.01 assert (zenon_L1060_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((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 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e10)) = (e20)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H21e zenon_H11b zenon_Hd6 zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H21d zenon_H61 zenon_H220 zenon_H4d zenon_H49 zenon_H16d zenon_H1ba zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H3a zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H53 zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H64 zenon_H5d zenon_H5c zenon_H7a zenon_H1fd zenon_H6d3 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.89/84.01 apply (zenon_L41_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.89/84.01 apply (zenon_L151_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.89/84.01 apply (zenon_L152_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.89/84.01 apply (zenon_L11_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.89/84.01 apply (zenon_L20_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.89/84.01 apply (zenon_L22_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.89/84.01 apply (zenon_L11_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.89/84.01 apply (zenon_L164_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.89/84.01 apply (zenon_L1057_); trivial. % 83.89/84.01 apply (zenon_L138_); trivial. % 83.89/84.01 (* end of lemma zenon_L1060_ *) % 83.89/84.01 assert (zenon_L1061_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((h1 (e10)) = (e20)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H21e zenon_H11b zenon_Hd6 zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H21d zenon_H61 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H1c2 zenon_H64 zenon_H5d zenon_H5c zenon_H7a zenon_H1fd zenon_H6d3 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.89/84.01 apply (zenon_L41_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.89/84.01 apply (zenon_L151_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.89/84.01 apply (zenon_L152_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.89/84.01 apply (zenon_L11_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.89/84.01 apply (zenon_L20_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.89/84.01 apply (zenon_L22_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.89/84.01 apply (zenon_L11_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.89/84.01 apply (zenon_L167_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.89/84.01 apply (zenon_L1057_); trivial. % 83.89/84.01 apply (zenon_L138_); trivial. % 83.89/84.01 (* end of lemma zenon_L1061_ *) % 83.89/84.01 assert (zenon_L1062_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e10)) = (e20)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H21e zenon_H11b zenon_Hd6 zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H21d zenon_H61 zenon_H220 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H64 zenon_H5d zenon_H5c zenon_H7a zenon_H1fd zenon_H6d3 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.89/84.01 apply (zenon_L41_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.89/84.01 apply (zenon_L151_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.89/84.01 apply (zenon_L152_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.89/84.01 apply (zenon_L11_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.89/84.01 apply (zenon_L20_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.89/84.01 apply (zenon_L22_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.89/84.01 apply (zenon_L11_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.89/84.01 apply (zenon_L171_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.89/84.01 apply (zenon_L1057_); trivial. % 83.89/84.01 apply (zenon_L138_); trivial. % 83.89/84.01 (* end of lemma zenon_L1062_ *) % 83.89/84.01 assert (zenon_L1063_ : ((h1 (e12)) = (op2 (e20) (e20))) -> ((op1 (e13) (e11)) = (e12)) -> ((e22) = (op2 (e20) (e20))) -> (~((e22) = (h1 (op1 (e13) (e11))))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H68b zenon_H198 zenon_H78 zenon_H6de. % 83.89/84.01 elim (classic ((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [ zenon_intro zenon_H6df | zenon_intro zenon_H6e0 ]. % 83.89/84.01 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11)))) = ((e22) = (h1 (op1 (e13) (e11))))). % 83.89/84.01 intro zenon_D_pnotp. % 83.89/84.01 apply zenon_H6de. % 83.89/84.01 rewrite <- zenon_D_pnotp. % 83.89/84.01 exact zenon_H6df. % 83.89/84.01 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e0]. % 83.89/84.01 cut (((h1 (op1 (e13) (e11))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H6e1]. % 83.89/84.01 congruence. % 83.89/84.01 cut (((h1 (e12)) = (op2 (e20) (e20))) = ((h1 (op1 (e13) (e11))) = (e22))). % 83.89/84.01 intro zenon_D_pnotp. % 83.89/84.01 apply zenon_H6e1. % 83.89/84.01 rewrite <- zenon_D_pnotp. % 83.89/84.01 exact zenon_H68b. % 83.89/84.01 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 83.89/84.01 cut (((h1 (e12)) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e2]. % 83.89/84.01 congruence. % 83.89/84.01 elim (classic ((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [ zenon_intro zenon_H6df | zenon_intro zenon_H6e0 ]. % 83.89/84.01 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11)))) = ((h1 (e12)) = (h1 (op1 (e13) (e11))))). % 83.89/84.01 intro zenon_D_pnotp. % 83.89/84.01 apply zenon_H6e2. % 83.89/84.01 rewrite <- zenon_D_pnotp. % 83.89/84.01 exact zenon_H6df. % 83.89/84.01 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e0]. % 83.89/84.01 cut (((h1 (op1 (e13) (e11))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H6e3]. % 83.89/84.01 congruence. % 83.89/84.01 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 83.89/84.01 congruence. % 83.89/84.01 exact (zenon_H199 zenon_H198). % 83.89/84.01 apply zenon_H6e0. apply refl_equal. % 83.89/84.01 apply zenon_H6e0. apply refl_equal. % 83.89/84.01 apply zenon_H79. apply sym_equal. exact zenon_H78. % 83.89/84.01 apply zenon_H6e0. apply refl_equal. % 83.89/84.01 apply zenon_H6e0. apply refl_equal. % 83.89/84.01 (* end of lemma zenon_L1063_ *) % 83.89/84.01 assert (zenon_L1064_ : ((op2 (e23) (e21)) = (e22)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((op1 (e13) (e11)) = (e12)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H10f zenon_H5c zenon_H5d zenon_H1fd zenon_H7a zenon_H68b zenon_H78 zenon_H198 zenon_H6e4. % 83.89/84.01 elim (classic ((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [ zenon_intro zenon_H6e5 | zenon_intro zenon_H6e6 ]. % 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11)))) = ((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))). % 83.89/84.01 intro zenon_D_pnotp. % 83.89/84.01 apply zenon_H6e4. % 83.89/84.01 rewrite <- zenon_D_pnotp. % 83.89/84.01 exact zenon_H6e5. % 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e6]. % 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e11))) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e7]. % 83.89/84.01 congruence. % 83.89/84.01 cut (((op2 (e23) (e21)) = (e22)) = ((op2 (h1 (e13)) (h1 (e11))) = (h1 (op1 (e13) (e11))))). % 83.89/84.01 intro zenon_D_pnotp. % 83.89/84.01 apply zenon_H6e7. % 83.89/84.01 rewrite <- zenon_D_pnotp. % 83.89/84.01 exact zenon_H10f. % 83.89/84.01 cut (((e22) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6de]. % 83.89/84.01 cut (((op2 (e23) (e21)) = (op2 (h1 (e13)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e8]. % 83.89/84.01 congruence. % 83.89/84.01 elim (classic ((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [ zenon_intro zenon_H6e5 | zenon_intro zenon_H6e6 ]. % 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11)))) = ((op2 (e23) (e21)) = (op2 (h1 (e13)) (h1 (e11))))). % 83.89/84.01 intro zenon_D_pnotp. % 83.89/84.01 apply zenon_H6e8. % 83.89/84.01 rewrite <- zenon_D_pnotp. % 83.89/84.01 exact zenon_H6e5. % 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e6]. % 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H6e9]. % 83.89/84.01 congruence. % 83.89/84.01 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc]. % 83.89/84.01 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 83.89/84.01 congruence. % 83.89/84.01 apply (zenon_L23_); trivial. % 83.89/84.01 apply (zenon_L130_); trivial. % 83.89/84.01 apply zenon_H6e6. apply refl_equal. % 83.89/84.01 apply zenon_H6e6. apply refl_equal. % 83.89/84.01 apply (zenon_L1063_); trivial. % 83.89/84.01 apply zenon_H6e6. apply refl_equal. % 83.89/84.01 apply zenon_H6e6. apply refl_equal. % 83.89/84.01 (* end of lemma zenon_L1064_ *) % 83.89/84.01 assert (zenon_L1065_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op2 (e23) (e21)) = (e22)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H200 zenon_H20d zenon_H1ee zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H163 zenon_H1ff zenon_H173 zenon_H16 zenon_H236 zenon_H10f zenon_H5c zenon_H5d zenon_H1fd zenon_H7a zenon_H68b zenon_H78 zenon_H6e4 zenon_H1bf zenon_H1c2 zenon_H2e7 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.89/84.01 apply (zenon_L7_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.89/84.01 apply (zenon_L178_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.89/84.01 apply (zenon_L179_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.89/84.01 apply (zenon_L3_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ]. % 83.89/84.01 apply (zenon_L114_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ]. % 83.89/84.01 apply (zenon_L113_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ]. % 83.89/84.01 apply (zenon_L1064_); trivial. % 83.89/84.01 apply (zenon_L149_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.89/84.01 apply (zenon_L4_); trivial. % 83.89/84.01 apply (zenon_L5_); trivial. % 83.89/84.01 (* end of lemma zenon_L1065_ *) % 83.89/84.01 assert (zenon_L1066_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.89/84.01 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H5d zenon_H5c zenon_H10f zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.89/84.01 apply (zenon_L11_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.89/84.01 apply (zenon_L20_); trivial. % 83.89/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.89/84.02 apply (zenon_L22_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.89/84.02 apply (zenon_L11_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.89/84.02 apply (zenon_L129_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.89/84.02 apply (zenon_L1065_); trivial. % 83.89/84.02 apply (zenon_L138_); trivial. % 83.89/84.02 (* end of lemma zenon_L1066_ *) % 83.89/84.02 assert (zenon_L1067_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.89/84.02 do 0 intro. intros zenon_H518 zenon_H509 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H200 zenon_H1ee zenon_H236 zenon_H5c zenon_H1fd zenon_H68b zenon_H6e4 zenon_H1c2 zenon_H2e7 zenon_H1c8 zenon_H176 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1c9 zenon_H1a0 zenon_H1b6 zenon_H18e zenon_H3f zenon_H1e0 zenon_H1e4 zenon_H1f4 zenon_H50 zenon_H45 zenon_H56 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a9 zenon_H1b0 zenon_H220 zenon_H61 zenon_Hd5 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H12c zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ]. % 83.89/84.02 apply (zenon_L597_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ]. % 83.89/84.02 apply (zenon_L1066_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ]. % 83.89/84.02 apply (zenon_L599_); trivial. % 83.89/84.02 apply (zenon_L602_); trivial. % 83.89/84.02 (* end of lemma zenon_L1067_ *) % 83.89/84.02 assert (zenon_L1068_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (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 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (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 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.89/84.02 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hc9 zenon_Hd6 zenon_H21d zenon_H21e zenon_H134 zenon_Hba zenon_H118 zenon_H112 zenon_Had zenon_H11b zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H50f zenon_H515 zenon_H12c zenon_H124 zenon_H11f zenon_H129 zenon_H61 zenon_H220 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H68b zenon_H1fd zenon_H5c zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H509 zenon_H518 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.89/84.02 apply (zenon_L41_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.89/84.02 apply (zenon_L151_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.89/84.02 apply (zenon_L152_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.89/84.02 apply (zenon_L43_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.89/84.02 apply (zenon_L43_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.89/84.02 apply (zenon_L142_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.89/84.02 apply (zenon_L81_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.89/84.02 apply (zenon_L1067_); trivial. % 83.89/84.02 apply (zenon_L36_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.89/84.02 apply (zenon_L139_); trivial. % 83.89/84.02 apply (zenon_L88_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.89/84.02 apply (zenon_L46_); trivial. % 83.89/84.02 apply (zenon_L31_); trivial. % 83.89/84.02 (* end of lemma zenon_L1068_ *) % 83.89/84.02 assert (zenon_L1069_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.89/84.02 do 0 intro. intros zenon_H220 zenon_H3f zenon_H3a zenon_H16d zenon_H245 zenon_H249 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H5d zenon_H5c zenon_H10f zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.89/84.02 apply (zenon_L11_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.89/84.02 apply (zenon_L154_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.89/84.02 apply (zenon_L1065_); trivial. % 83.89/84.02 apply (zenon_L138_); trivial. % 83.89/84.02 (* end of lemma zenon_L1069_ *) % 83.89/84.02 assert (zenon_L1070_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.89/84.02 do 0 intro. intros zenon_H518 zenon_H509 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H200 zenon_H1ee zenon_H236 zenon_H5c zenon_H1fd zenon_H68b zenon_H6e4 zenon_H1c2 zenon_H2e7 zenon_H249 zenon_H245 zenon_H16d zenon_H3a zenon_H3f zenon_H220 zenon_Hd5 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H12c zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ]. % 83.89/84.02 apply (zenon_L597_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ]. % 83.89/84.02 apply (zenon_L1069_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ]. % 83.89/84.02 apply (zenon_L599_); trivial. % 83.89/84.02 apply (zenon_L602_); trivial. % 83.89/84.02 (* end of lemma zenon_L1070_ *) % 83.89/84.02 assert (zenon_L1071_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (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 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.89/84.02 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hc9 zenon_Hd6 zenon_H21d zenon_H21e zenon_H134 zenon_Hba zenon_H118 zenon_H112 zenon_Had zenon_H11b zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H50f zenon_H515 zenon_H12c zenon_H124 zenon_H11f zenon_H129 zenon_H220 zenon_H3f zenon_H3a zenon_H16d zenon_H245 zenon_H249 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H68b zenon_H1fd zenon_H5c zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H509 zenon_H518 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.89/84.02 apply (zenon_L41_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.89/84.02 apply (zenon_L151_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.89/84.02 apply (zenon_L152_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.89/84.02 apply (zenon_L43_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.89/84.02 apply (zenon_L43_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.89/84.02 apply (zenon_L142_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.89/84.02 apply (zenon_L81_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.89/84.02 apply (zenon_L1070_); trivial. % 83.89/84.02 apply (zenon_L36_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.89/84.02 apply (zenon_L139_); trivial. % 83.89/84.02 apply (zenon_L88_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.89/84.02 apply (zenon_L46_); trivial. % 83.89/84.02 apply (zenon_L31_); trivial. % 83.89/84.02 (* end of lemma zenon_L1071_ *) % 83.89/84.02 assert (zenon_L1072_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((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 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.89/84.02 do 0 intro. intros zenon_H61 zenon_H220 zenon_H4d zenon_H49 zenon_H16d zenon_H1ba zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H3a zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H53 zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H5d zenon_H5c zenon_H10f zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.89/84.02 apply (zenon_L11_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.89/84.02 apply (zenon_L20_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.89/84.02 apply (zenon_L22_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.89/84.02 apply (zenon_L11_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.89/84.02 apply (zenon_L164_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.89/84.02 apply (zenon_L1065_); trivial. % 83.89/84.02 apply (zenon_L138_); trivial. % 83.89/84.02 (* end of lemma zenon_L1072_ *) % 83.89/84.02 assert (zenon_L1073_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.89/84.02 do 0 intro. intros zenon_H518 zenon_H509 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H200 zenon_H1ee zenon_H236 zenon_H5c zenon_H1fd zenon_H68b zenon_H6e4 zenon_H1c2 zenon_H2e7 zenon_H1c8 zenon_H176 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1c9 zenon_H1a0 zenon_H1b9 zenon_H25d zenon_H1e4 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H53 zenon_H18e zenon_H1b6 zenon_H229 zenon_H253 zenon_H252 zenon_H3a zenon_H256 zenon_H25a zenon_H24d zenon_H1f4 zenon_H50 zenon_H45 zenon_H56 zenon_H1ba zenon_H16d zenon_H49 zenon_H4d zenon_H220 zenon_H61 zenon_Hd5 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H12c zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ]. % 83.89/84.02 apply (zenon_L597_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ]. % 83.89/84.02 apply (zenon_L1072_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ]. % 83.89/84.02 apply (zenon_L599_); trivial. % 83.89/84.02 apply (zenon_L602_); trivial. % 83.89/84.02 (* end of lemma zenon_L1073_ *) % 83.89/84.02 assert (zenon_L1074_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (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 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((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 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (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 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.89/84.02 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hc9 zenon_Hd6 zenon_H21d zenon_H21e zenon_H134 zenon_Hba zenon_H118 zenon_H112 zenon_Had zenon_H11b zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H50f zenon_H515 zenon_H12c zenon_H124 zenon_H11f zenon_H129 zenon_H61 zenon_H220 zenon_H4d zenon_H49 zenon_H16d zenon_H1ba zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H3a zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H53 zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H68b zenon_H1fd zenon_H5c zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H509 zenon_H518 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.89/84.02 apply (zenon_L41_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.89/84.02 apply (zenon_L151_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.89/84.02 apply (zenon_L152_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.89/84.02 apply (zenon_L43_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.89/84.02 apply (zenon_L43_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.89/84.02 apply (zenon_L142_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.89/84.02 apply (zenon_L81_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.89/84.02 apply (zenon_L1073_); trivial. % 83.89/84.02 apply (zenon_L36_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.89/84.02 apply (zenon_L139_); trivial. % 83.89/84.02 apply (zenon_L88_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.89/84.02 apply (zenon_L46_); trivial. % 83.89/84.02 apply (zenon_L31_); trivial. % 83.89/84.02 (* end of lemma zenon_L1074_ *) % 83.89/84.02 assert (zenon_L1075_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.89/84.02 do 0 intro. intros zenon_H61 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H5d zenon_H5c zenon_H10f zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.89/84.02 apply (zenon_L11_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.89/84.02 apply (zenon_L20_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.89/84.02 apply (zenon_L22_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.89/84.02 apply (zenon_L11_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.89/84.02 apply (zenon_L167_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.89/84.02 apply (zenon_L1065_); trivial. % 83.89/84.02 apply (zenon_L138_); trivial. % 83.89/84.02 (* end of lemma zenon_L1075_ *) % 83.89/84.02 assert (zenon_L1076_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.89/84.02 do 0 intro. intros zenon_H518 zenon_H509 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H200 zenon_H1ee zenon_H236 zenon_H5c zenon_H1fd zenon_H68b zenon_H6e4 zenon_H1c2 zenon_H2e7 zenon_H230 zenon_H260 zenon_H176 zenon_H1c8 zenon_H3f zenon_H220 zenon_H56 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H61 zenon_Hd5 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H12c zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ]. % 83.89/84.02 apply (zenon_L597_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ]. % 83.89/84.02 apply (zenon_L1075_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ]. % 83.89/84.02 apply (zenon_L599_); trivial. % 83.89/84.02 apply (zenon_L602_); trivial. % 83.89/84.02 (* end of lemma zenon_L1076_ *) % 83.89/84.02 assert (zenon_L1077_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (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 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (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 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.89/84.02 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hc9 zenon_Hd6 zenon_H21d zenon_H21e zenon_H134 zenon_Hba zenon_H118 zenon_H112 zenon_Had zenon_H11b zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H50f zenon_H515 zenon_H12c zenon_H124 zenon_H11f zenon_H129 zenon_H61 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H68b zenon_H1fd zenon_H5c zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H509 zenon_H518 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.89/84.02 apply (zenon_L41_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.89/84.02 apply (zenon_L151_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.89/84.02 apply (zenon_L152_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.89/84.02 apply (zenon_L43_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.89/84.02 apply (zenon_L43_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.89/84.02 apply (zenon_L142_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.89/84.02 apply (zenon_L81_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.89/84.02 apply (zenon_L1076_); trivial. % 83.89/84.02 apply (zenon_L36_); trivial. % 83.89/84.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.89/84.02 apply (zenon_L139_); trivial. % 83.92/84.03 apply (zenon_L88_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.92/84.03 apply (zenon_L46_); trivial. % 83.92/84.03 apply (zenon_L31_); trivial. % 83.92/84.03 (* end of lemma zenon_L1077_ *) % 83.92/84.03 assert (zenon_L1078_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H5d zenon_H5c zenon_H10f zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.92/84.03 apply (zenon_L11_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.92/84.03 apply (zenon_L20_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.92/84.03 apply (zenon_L22_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.92/84.03 apply (zenon_L11_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.92/84.03 apply (zenon_L171_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.92/84.03 apply (zenon_L1065_); trivial. % 83.92/84.03 apply (zenon_L138_); trivial. % 83.92/84.03 (* end of lemma zenon_L1078_ *) % 83.92/84.03 assert (zenon_L1079_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H518 zenon_H509 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H200 zenon_H1ee zenon_H236 zenon_H5c zenon_H1fd zenon_H68b zenon_H78 zenon_H6e4 zenon_H1c2 zenon_H2e7 zenon_H1c8 zenon_H176 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1c9 zenon_H1a0 zenon_H266 zenon_H1f4 zenon_H50 zenon_H45 zenon_H56 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H1b6 zenon_H18e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H220 zenon_H61 zenon_Hf8 zenon_H11f zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ]. % 83.92/84.03 apply (zenon_L597_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ]. % 83.92/84.03 apply (zenon_L1078_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ]. % 83.92/84.03 apply (zenon_L598_); trivial. % 83.92/84.03 apply (zenon_L602_); trivial. % 83.92/84.03 (* end of lemma zenon_L1079_ *) % 83.92/84.03 assert (zenon_L1080_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((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)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (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)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H129 zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_H134 zenon_Hba zenon_H118 zenon_H112 zenon_H11b zenon_H511 zenon_H4fb zenon_H13e zenon_H50f zenon_H515 zenon_H11f zenon_H61 zenon_H220 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H68b zenon_H1fd zenon_H5c zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H509 zenon_H518 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.92/84.03 apply (zenon_L41_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.92/84.03 apply (zenon_L151_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.92/84.03 apply (zenon_L47_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.92/84.03 apply (zenon_L43_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ]. % 83.92/84.03 apply (zenon_L43_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ]. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ]. % 83.92/84.03 apply (zenon_L82_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ]. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ]. % 83.92/84.03 apply (zenon_L52_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ]. % 83.92/84.03 apply (zenon_L536_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ]. % 83.92/84.03 apply (zenon_L71_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ]. % 83.92/84.03 apply (zenon_L53_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ]. % 83.92/84.03 apply (zenon_L537_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ]. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.92/84.03 apply (zenon_L142_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.92/84.03 apply (zenon_L81_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.92/84.03 apply (zenon_L1079_); trivial. % 83.92/84.03 apply (zenon_L36_); trivial. % 83.92/84.03 apply (zenon_L77_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ]. % 83.92/84.03 apply (zenon_L543_); trivial. % 83.92/84.03 apply (zenon_L32_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ]. % 83.92/84.03 apply (zenon_L139_); trivial. % 83.92/84.03 apply (zenon_L88_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.92/84.03 apply (zenon_L46_); trivial. % 83.92/84.03 apply (zenon_L31_); trivial. % 83.92/84.03 (* end of lemma zenon_L1080_ *) % 83.92/84.03 assert (zenon_L1081_ : ((h1 (e10)) = (e20)) -> ((op1 (e13) (e12)) = (e10)) -> (~((e20) = (h1 (op1 (e13) (e12))))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H64 zenon_H19c zenon_H6ea. % 83.92/84.03 elim (classic ((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ec ]. % 83.92/84.03 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12)))) = ((e20) = (h1 (op1 (e13) (e12))))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H6ea. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H6eb. % 83.92/84.03 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6ec]. % 83.92/84.03 cut (((h1 (op1 (e13) (e12))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H6ed]. % 83.92/84.03 congruence. % 83.92/84.03 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e13) (e12))) = (e20))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H6ed. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H64. % 83.92/84.03 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 83.92/84.03 cut (((h1 (e10)) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6ee]. % 83.92/84.03 congruence. % 83.92/84.03 elim (classic ((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ec ]. % 83.92/84.03 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12)))) = ((h1 (e10)) = (h1 (op1 (e13) (e12))))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H6ee. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H6eb. % 83.92/84.03 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6ec]. % 83.92/84.03 cut (((h1 (op1 (e13) (e12))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6ef]. % 83.92/84.03 congruence. % 83.92/84.03 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H36b]. % 83.92/84.03 congruence. % 83.92/84.03 exact (zenon_H36b zenon_H19c). % 83.92/84.03 apply zenon_H6ec. apply refl_equal. % 83.92/84.03 apply zenon_H6ec. apply refl_equal. % 83.92/84.03 apply zenon_H60. apply refl_equal. % 83.92/84.03 apply zenon_H6ec. apply refl_equal. % 83.92/84.03 apply zenon_H6ec. apply refl_equal. % 83.92/84.03 (* end of lemma zenon_L1081_ *) % 83.92/84.03 assert (zenon_L1082_ : ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> ((op1 (e13) (e12)) = (e10)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H121 zenon_H5c zenon_H5d zenon_H68b zenon_H78 zenon_H64 zenon_H19c zenon_H6f0. % 83.92/84.03 elim (classic ((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [ zenon_intro zenon_H6f1 | zenon_intro zenon_H6f2 ]. % 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12)))) = ((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H6f0. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H6f1. % 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6f2]. % 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e12))) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6f3]. % 83.92/84.03 congruence. % 83.92/84.03 cut (((op2 (e23) (e22)) = (e20)) = ((op2 (h1 (e13)) (h1 (e12))) = (h1 (op1 (e13) (e12))))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H6f3. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H121. % 83.92/84.03 cut (((e20) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6ea]. % 83.92/84.03 cut (((op2 (e23) (e22)) = (op2 (h1 (e13)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6f4]. % 83.92/84.03 congruence. % 83.92/84.03 elim (classic ((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [ zenon_intro zenon_H6f1 | zenon_intro zenon_H6f2 ]. % 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12)))) = ((op2 (e23) (e22)) = (op2 (h1 (e13)) (h1 (e12))))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H6f4. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H6f1. % 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6f2]. % 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6f5]. % 83.92/84.03 congruence. % 83.92/84.03 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a]. % 83.92/84.03 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 83.92/84.03 congruence. % 83.92/84.03 apply (zenon_L23_); trivial. % 83.92/84.03 apply (zenon_L978_); trivial. % 83.92/84.03 apply zenon_H6f2. apply refl_equal. % 83.92/84.03 apply zenon_H6f2. apply refl_equal. % 83.92/84.03 apply (zenon_L1081_); trivial. % 83.92/84.03 apply zenon_H6f2. apply refl_equal. % 83.92/84.03 apply zenon_H6f2. apply refl_equal. % 83.92/84.03 (* end of lemma zenon_L1082_ *) % 83.92/84.03 assert (zenon_L1083_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H173 zenon_H16 zenon_H6f0 zenon_H64 zenon_H78 zenon_H68b zenon_H5d zenon_H5c zenon_H121 zenon_H1d8 zenon_H1ff zenon_H1b0 zenon_H16b zenon_H20a zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H56 zenon_H45 zenon_H50 zenon_H256 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.92/84.03 apply (zenon_L3_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.92/84.03 apply (zenon_L22_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.92/84.03 apply (zenon_L181_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.92/84.03 apply (zenon_L182_); trivial. % 83.92/84.03 apply (zenon_L1082_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.92/84.03 apply (zenon_L4_); trivial. % 83.92/84.03 apply (zenon_L5_); trivial. % 83.92/84.03 (* end of lemma zenon_L1083_ *) % 83.92/84.03 assert (zenon_L1084_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((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)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f5 zenon_H1a9 zenon_H1ad zenon_H16d zenon_H1ba zenon_H1b9 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H121 zenon_H5c zenon_H5d zenon_H68b zenon_H78 zenon_H64 zenon_H6f0 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.92/84.03 apply (zenon_L11_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.92/84.03 apply (zenon_L20_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.92/84.03 apply (zenon_L22_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.92/84.03 apply (zenon_L11_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.92/84.03 apply (zenon_L129_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.92/84.03 apply (zenon_L1083_); trivial. % 83.92/84.03 apply (zenon_L138_); trivial. % 83.92/84.03 (* end of lemma zenon_L1084_ *) % 83.92/84.03 assert (zenon_L1085_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H220 zenon_H3f zenon_H1f3 zenon_H2e zenon_H16d zenon_H245 zenon_H249 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H121 zenon_H5c zenon_H5d zenon_H68b zenon_H78 zenon_H64 zenon_H6f0 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.92/84.03 apply (zenon_L11_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.92/84.03 apply (zenon_L154_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.92/84.03 apply (zenon_L1083_); trivial. % 83.92/84.03 apply (zenon_L138_); trivial. % 83.92/84.03 (* end of lemma zenon_L1085_ *) % 83.92/84.03 assert (zenon_L1086_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f5 zenon_H16d zenon_H1ba zenon_H1f4 zenon_H24d zenon_H25a zenon_H200 zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a9 zenon_H3f zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H121 zenon_H5c zenon_H5d zenon_H68b zenon_H78 zenon_H64 zenon_H6f0 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.92/84.03 apply (zenon_L11_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.92/84.03 apply (zenon_L20_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.92/84.03 apply (zenon_L22_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.92/84.03 apply (zenon_L11_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.92/84.03 apply (zenon_L164_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.92/84.03 apply (zenon_L1083_); trivial. % 83.92/84.03 apply (zenon_L138_); trivial. % 83.92/84.03 (* end of lemma zenon_L1086_ *) % 83.92/84.03 assert (zenon_L1087_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H61 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H121 zenon_H5c zenon_H5d zenon_H68b zenon_H78 zenon_H64 zenon_H6f0 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.92/84.03 apply (zenon_L11_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.92/84.03 apply (zenon_L20_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.92/84.03 apply (zenon_L22_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.92/84.03 apply (zenon_L11_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.92/84.03 apply (zenon_L167_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.92/84.03 apply (zenon_L1083_); trivial. % 83.92/84.03 apply (zenon_L138_); trivial. % 83.92/84.03 (* end of lemma zenon_L1087_ *) % 83.92/84.03 assert (zenon_L1088_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f5 zenon_H3f zenon_H1a9 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H121 zenon_H5c zenon_H5d zenon_H68b zenon_H78 zenon_H64 zenon_H6f0 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.92/84.03 apply (zenon_L11_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.92/84.03 apply (zenon_L20_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.92/84.03 apply (zenon_L22_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.92/84.03 apply (zenon_L11_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.92/84.03 apply (zenon_L171_); trivial. % 83.92/84.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.92/84.03 apply (zenon_L1083_); trivial. % 83.92/84.03 apply (zenon_L138_); trivial. % 83.92/84.03 (* end of lemma zenon_L1088_ *) % 83.92/84.03 assert (zenon_L1089_ : ((op1 (e13) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H19c zenon_H36d zenon_H200. % 83.92/84.03 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ]. % 83.92/84.03 cut (((e13) = (e13)) = ((e10) = (e13))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H200. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H1ef. % 83.92/84.03 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 83.92/84.03 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 83.92/84.03 congruence. % 83.92/84.03 cut (((op1 (e13) (e12)) = (e10)) = ((e13) = (e10))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H201. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H19c. % 83.92/84.03 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 83.92/84.03 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H36e]. % 83.92/84.03 congruence. % 83.92/84.03 exact (zenon_H36e zenon_H36d). % 83.92/84.03 apply zenon_H12. apply refl_equal. % 83.92/84.03 apply zenon_H1f0. apply refl_equal. % 83.92/84.03 apply zenon_H1f0. apply refl_equal. % 83.92/84.03 (* end of lemma zenon_L1089_ *) % 83.92/84.03 assert (zenon_L1090_ : (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((op1 (e13) (e13)) = (e13)) -> ((op2 (e23) (e23)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H6f6 zenon_H2dd zenon_H4ff zenon_H5c zenon_H5d. % 83.92/84.03 cut (((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H6f6. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H5c. % 83.92/84.03 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6f7]. % 83.92/84.03 cut (((h1 (e13)) = (h1 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6f8]. % 83.92/84.03 congruence. % 83.92/84.03 elim (classic ((h1 (op1 (e13) (e13))) = (h1 (op1 (e13) (e13))))); [ zenon_intro zenon_H6f9 | zenon_intro zenon_H6fa ]. % 83.92/84.03 cut (((h1 (op1 (e13) (e13))) = (h1 (op1 (e13) (e13)))) = ((h1 (e13)) = (h1 (op1 (e13) (e13))))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H6f8. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H6f9. % 83.92/84.03 cut (((h1 (op1 (e13) (e13))) = (h1 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6fa]. % 83.92/84.03 cut (((h1 (op1 (e13) (e13))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H6fb]. % 83.92/84.03 congruence. % 83.92/84.03 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2de]. % 83.92/84.03 congruence. % 83.92/84.03 exact (zenon_H2de zenon_H2dd). % 83.92/84.03 apply zenon_H6fa. apply refl_equal. % 83.92/84.03 apply zenon_H6fa. apply refl_equal. % 83.92/84.03 elim (classic ((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13))))); [ zenon_intro zenon_H6fc | zenon_intro zenon_H6fd ]. % 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13)))) = ((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e13)) (h1 (e13))))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H6f7. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H6fc. % 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6fd]. % 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))); [idtac | apply NNPP; zenon_intro zenon_H6fe]. % 83.92/84.03 congruence. % 83.92/84.03 cut (((op2 (e23) (e23)) = (e23)) = ((op2 (h1 (e13)) (h1 (e13))) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H6fe. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H4ff. % 83.92/84.03 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))); [idtac | apply NNPP; zenon_intro zenon_H21a]. % 83.92/84.03 cut (((op2 (e23) (e23)) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6ff]. % 83.92/84.03 congruence. % 83.92/84.03 elim (classic ((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13))))); [ zenon_intro zenon_H6fc | zenon_intro zenon_H6fd ]. % 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13)))) = ((op2 (e23) (e23)) = (op2 (h1 (e13)) (h1 (e13))))). % 83.92/84.03 intro zenon_D_pnotp. % 83.92/84.03 apply zenon_H6ff. % 83.92/84.03 rewrite <- zenon_D_pnotp. % 83.92/84.03 exact zenon_H6fc. % 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6fd]. % 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H700]. % 83.92/84.03 congruence. % 83.92/84.03 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 83.92/84.03 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 83.92/84.03 congruence. % 83.92/84.03 apply (zenon_L23_); trivial. % 83.92/84.03 apply (zenon_L23_); trivial. % 83.92/84.03 apply zenon_H6fd. apply refl_equal. % 83.92/84.03 apply zenon_H6fd. apply refl_equal. % 83.92/84.03 exact (zenon_H21a zenon_H5d). % 83.92/84.03 apply zenon_H6fd. apply refl_equal. % 83.92/84.03 apply zenon_H6fd. apply refl_equal. % 83.92/84.03 (* end of lemma zenon_L1090_ *) % 83.92/84.03 assert (zenon_L1091_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e23)) = (e23)) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((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 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.03 do 0 intro. intros zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H173 zenon_H16 zenon_H5d zenon_H5c zenon_H4ff zenon_H6f6 zenon_H200 zenon_H236 zenon_H1ee zenon_H3f7 zenon_H1d8 zenon_H1ff zenon_H1b0 zenon_H16b zenon_H20a zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H56 zenon_H45 zenon_H50 zenon_H256 zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ]. % 83.92/84.04 apply (zenon_L7_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ]. % 83.92/84.04 apply (zenon_L178_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ]. % 83.92/84.04 apply (zenon_L179_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.92/84.04 apply (zenon_L3_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ]. % 83.92/84.04 apply (zenon_L22_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ]. % 83.92/84.04 apply (zenon_L181_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ]. % 83.92/84.04 apply (zenon_L182_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H3f7); [ zenon_intro zenon_H1ed | zenon_intro zenon_H3f8 ]. % 83.92/84.04 apply (zenon_L128_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H3f8); [ zenon_intro zenon_H235 | zenon_intro zenon_H3f9 ]. % 83.92/84.04 apply (zenon_L149_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H3f9); [ zenon_intro zenon_H36d | zenon_intro zenon_H2dd ]. % 83.92/84.04 apply (zenon_L1089_); trivial. % 83.92/84.04 apply (zenon_L1090_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.92/84.04 apply (zenon_L4_); trivial. % 83.92/84.04 apply (zenon_L5_); trivial. % 83.92/84.04 (* end of lemma zenon_L1091_ *) % 83.92/84.04 assert (zenon_L1092_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (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) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.04 do 0 intro. intros zenon_H587 zenon_Hb8 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H7a zenon_H21e zenon_H121 zenon_H61 zenon_H220 zenon_H1a9 zenon_H1ad zenon_H16d zenon_H1ba zenon_H1b9 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H5d zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ]. % 83.92/84.04 apply (zenon_L140_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ]. % 83.92/84.04 apply (zenon_L601_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ]. % 83.92/84.04 apply (zenon_L1024_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.92/84.04 apply (zenon_L11_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.92/84.04 apply (zenon_L20_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.92/84.04 apply (zenon_L22_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.92/84.04 apply (zenon_L11_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.92/84.04 apply (zenon_L129_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.92/84.04 apply (zenon_L1091_); trivial. % 83.92/84.04 apply (zenon_L138_); trivial. % 83.92/84.04 (* end of lemma zenon_L1092_ *) % 83.92/84.04 assert (zenon_L1093_ : (((op1 (e10) (e10)) = (op1 (e10) (e10)))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e10))) = (e13))))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (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) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.92/84.04 do 0 intro. intros zenon_H380 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H587 zenon_Hba zenon_H118 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H21e zenon_H61 zenon_H220 zenon_H1a9 zenon_H1ad zenon_H16d zenon_H1ba zenon_H1b9 zenon_H1f4 zenon_H1e4 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_Hc9 zenon_Hb2 zenon_Had zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.92/84.04 apply (zenon_L43_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.92/84.04 apply (zenon_L81_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.92/84.04 apply (zenon_L1092_); trivial. % 83.92/84.04 apply (zenon_L36_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.92/84.04 apply (zenon_L46_); trivial. % 83.92/84.04 apply (zenon_L31_); trivial. % 83.92/84.04 (* end of lemma zenon_L1093_ *) % 83.92/84.04 assert (zenon_L1094_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.04 do 0 intro. intros zenon_H587 zenon_Hb8 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H7a zenon_H21e zenon_H121 zenon_H220 zenon_H3f zenon_H16d zenon_H245 zenon_H249 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H5d zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ]. % 83.92/84.04 apply (zenon_L140_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ]. % 83.92/84.04 apply (zenon_L601_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ]. % 83.92/84.04 apply (zenon_L1024_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.92/84.04 apply (zenon_L11_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.92/84.04 apply (zenon_L154_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.92/84.04 apply (zenon_L1091_); trivial. % 83.92/84.04 apply (zenon_L138_); trivial. % 83.92/84.04 (* end of lemma zenon_L1094_ *) % 83.92/84.04 assert (zenon_L1095_ : (((op1 (e12) (e10)) = (op1 (e10) (e12)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e12))) = (e13))))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.92/84.04 do 0 intro. intros zenon_H388 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H587 zenon_Hba zenon_H118 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H21e zenon_H220 zenon_H3f zenon_H16d zenon_H249 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_Hc9 zenon_Hb2 zenon_Had zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.92/84.04 apply (zenon_L43_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.92/84.04 apply (zenon_L81_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.92/84.04 apply (zenon_L1094_); trivial. % 83.92/84.04 apply (zenon_L36_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.92/84.04 apply (zenon_L46_); trivial. % 83.92/84.04 apply (zenon_L31_); trivial. % 83.92/84.04 (* end of lemma zenon_L1095_ *) % 83.92/84.04 assert (zenon_L1096_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.04 do 0 intro. intros zenon_H587 zenon_Hb8 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H7a zenon_H21e zenon_H121 zenon_H61 zenon_H220 zenon_H16d zenon_H1ba zenon_H1f4 zenon_H24d zenon_H25a zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a9 zenon_H3f zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H5d zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ]. % 83.92/84.04 apply (zenon_L140_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ]. % 83.92/84.04 apply (zenon_L601_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ]. % 83.92/84.04 apply (zenon_L1024_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.92/84.04 apply (zenon_L11_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.92/84.04 apply (zenon_L20_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.92/84.04 apply (zenon_L22_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.92/84.04 apply (zenon_L11_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.92/84.04 apply (zenon_L164_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.92/84.04 apply (zenon_L1091_); trivial. % 83.92/84.04 apply (zenon_L138_); trivial. % 83.92/84.04 (* end of lemma zenon_L1096_ *) % 83.92/84.04 assert (zenon_L1097_ : (((op1 (e13) (e10)) = (op1 (e10) (e13)))/\((~((op1 (e10) (op1 (e10) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e13))) = (e13))))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.92/84.04 do 0 intro. intros zenon_H38b zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H587 zenon_Hba zenon_H118 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H21e zenon_H61 zenon_H220 zenon_H16d zenon_H1ba zenon_H1f4 zenon_H25a zenon_H252 zenon_H229 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a9 zenon_H3f zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_Hc9 zenon_Hb2 zenon_Had zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.92/84.04 apply (zenon_L43_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.92/84.04 apply (zenon_L81_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.92/84.04 apply (zenon_L1096_); trivial. % 83.92/84.04 apply (zenon_L36_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.92/84.04 apply (zenon_L46_); trivial. % 83.92/84.04 apply (zenon_L31_); trivial. % 83.92/84.04 (* end of lemma zenon_L1097_ *) % 83.92/84.04 assert (zenon_L1098_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.04 do 0 intro. intros zenon_H587 zenon_Hb8 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H7a zenon_H21e zenon_H121 zenon_H61 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H5d zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ]. % 83.92/84.04 apply (zenon_L140_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ]. % 83.92/84.04 apply (zenon_L601_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ]. % 83.92/84.04 apply (zenon_L1024_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.92/84.04 apply (zenon_L11_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.92/84.04 apply (zenon_L20_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.92/84.04 apply (zenon_L22_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.92/84.04 apply (zenon_L11_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.92/84.04 apply (zenon_L167_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.92/84.04 apply (zenon_L1091_); trivial. % 83.92/84.04 apply (zenon_L138_); trivial. % 83.92/84.04 (* end of lemma zenon_L1098_ *) % 83.92/84.04 assert (zenon_L1099_ : (((op1 (e10) (e11)) = (op1 (e11) (e10)))/\((~((op1 (e10) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e10))) = (e13))))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.92/84.04 do 0 intro. intros zenon_H38e zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H587 zenon_Hba zenon_H118 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H21e zenon_H61 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H230 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_Hc9 zenon_Hb2 zenon_Had zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.92/84.04 apply (zenon_L43_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.92/84.04 apply (zenon_L81_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.92/84.04 apply (zenon_L1098_); trivial. % 83.92/84.04 apply (zenon_L36_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.92/84.04 apply (zenon_L46_); trivial. % 83.92/84.04 apply (zenon_L31_); trivial. % 83.92/84.04 (* end of lemma zenon_L1099_ *) % 83.92/84.04 assert (zenon_L1100_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 83.92/84.04 do 0 intro. intros zenon_H587 zenon_Hd6 zenon_H10c zenon_H511 zenon_H7a zenon_H21e zenon_H121 zenon_H61 zenon_H220 zenon_H3f zenon_H1a9 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H5d zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ]. % 83.92/84.04 apply (zenon_L88_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ]. % 83.92/84.04 apply (zenon_L601_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ]. % 83.92/84.04 apply (zenon_L1024_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ]. % 83.92/84.04 apply (zenon_L11_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ]. % 83.92/84.04 apply (zenon_L20_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ]. % 83.92/84.04 apply (zenon_L22_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ]. % 83.92/84.04 apply (zenon_L11_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ]. % 83.92/84.04 apply (zenon_L171_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ]. % 83.92/84.04 apply (zenon_L1091_); trivial. % 83.92/84.04 apply (zenon_L138_); trivial. % 83.92/84.04 (* end of lemma zenon_L1100_ *) % 83.92/84.04 assert (zenon_L1101_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (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 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 83.92/84.04 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H15c zenon_H21d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H587 zenon_Hd6 zenon_H511 zenon_H21e zenon_H61 zenon_H220 zenon_H3f zenon_H1a9 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ]. % 83.92/84.04 apply (zenon_L41_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ]. % 83.92/84.04 apply (zenon_L151_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ]. % 83.92/84.04 apply (zenon_L152_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.92/84.04 apply (zenon_L43_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.92/84.04 apply (zenon_L81_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.92/84.04 apply (zenon_L1100_); trivial. % 83.92/84.04 apply (zenon_L36_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.92/84.04 apply (zenon_L46_); trivial. % 83.92/84.04 apply (zenon_L31_); trivial. % 83.92/84.04 (* end of lemma zenon_L1101_ *) % 83.92/84.04 apply NNPP. intro zenon_G. % 83.92/84.04 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H702. zenon_intro zenon_H701. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H701). zenon_intro zenon_H704. zenon_intro zenon_H703. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H703). zenon_intro zenon_H706. zenon_intro zenon_H705. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H705). zenon_intro zenon_H4d. zenon_intro zenon_H707. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H707). zenon_intro zenon_H709. zenon_intro zenon_H708. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H708). zenon_intro zenon_H70b. zenon_intro zenon_H70a. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H70a). zenon_intro zenon_H1ad. zenon_intro zenon_H70c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H70c). zenon_intro zenon_H340. zenon_intro zenon_H70d. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H70d). zenon_intro zenon_H35d. zenon_intro zenon_H70e. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H70e). zenon_intro zenon_H3a8. zenon_intro zenon_H70f. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H70f). zenon_intro zenon_H1dc. zenon_intro zenon_H710. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H710). zenon_intro zenon_H3e3. zenon_intro zenon_H711. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H711). zenon_intro zenon_H413. zenon_intro zenon_H712. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H712). zenon_intro zenon_H2e7. zenon_intro zenon_H713. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H713). zenon_intro zenon_H43e. zenon_intro zenon_H2e3. % 83.92/84.04 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H61. zenon_intro zenon_H714. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H714). zenon_intro zenon_H220. zenon_intro zenon_H715. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H715). zenon_intro zenon_H249. zenon_intro zenon_H716. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H716). zenon_intro zenon_H1f3. zenon_intro zenon_H717. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H717). zenon_intro zenon_H719. zenon_intro zenon_H718. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H718). zenon_intro zenon_H71b. zenon_intro zenon_H71a. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H71a). zenon_intro zenon_H173. zenon_intro zenon_H71c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H71c). zenon_intro zenon_H1f5. zenon_intro zenon_H71d. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H71d). zenon_intro zenon_H276. zenon_intro zenon_H71e. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H71e). zenon_intro zenon_H1c8. zenon_intro zenon_H71f. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H71f). zenon_intro zenon_H1f4. zenon_intro zenon_H720. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H720). zenon_intro zenon_H1c9. zenon_intro zenon_H721. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H721). zenon_intro zenon_H1e8. zenon_intro zenon_H722. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H722). zenon_intro zenon_H1b9. zenon_intro zenon_H723. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H723). zenon_intro zenon_H25d. zenon_intro zenon_H724. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H724). zenon_intro zenon_H23d. zenon_intro zenon_H725. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H725). zenon_intro zenon_H357. zenon_intro zenon_H726. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H726). zenon_intro zenon_H256. zenon_intro zenon_H727. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H727). zenon_intro zenon_H1ba. zenon_intro zenon_H728. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H728). zenon_intro zenon_H432. zenon_intro zenon_H729. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H729). zenon_intro zenon_H1b6. zenon_intro zenon_H72a. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H72a). zenon_intro zenon_H330. zenon_intro zenon_H72b. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H72b). zenon_intro zenon_H365. zenon_intro zenon_H72c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H72c). zenon_intro zenon_H373. zenon_intro zenon_H72d. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H72d). zenon_intro zenon_H1b0. zenon_intro zenon_H72e. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H72e). zenon_intro zenon_H56. zenon_intro zenon_H72f. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H72f). zenon_intro zenon_H20d. zenon_intro zenon_H730. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H730). zenon_intro zenon_H3fa. zenon_intro zenon_H731. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H731). zenon_intro zenon_H733. zenon_intro zenon_H732. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H732). zenon_intro zenon_H345. zenon_intro zenon_H734. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H734). zenon_intro zenon_H3f7. zenon_intro zenon_H3f0. % 83.92/84.04 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H736. zenon_intro zenon_H735. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H735). zenon_intro zenon_H738. zenon_intro zenon_H737. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H737). zenon_intro zenon_H73a. zenon_intro zenon_H739. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H739). zenon_intro zenon_H8e. zenon_intro zenon_H73b. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H73b). zenon_intro zenon_H73d. zenon_intro zenon_H73c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H73c). zenon_intro zenon_H73f. zenon_intro zenon_H73e. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H73e). zenon_intro zenon_H12c. zenon_intro zenon_H740. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H740). zenon_intro zenon_H57a. zenon_intro zenon_H741. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H741). zenon_intro zenon_H5a1. zenon_intro zenon_H742. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H742). zenon_intro zenon_H744. zenon_intro zenon_H743. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H743). zenon_intro zenon_H4d2. zenon_intro zenon_H745. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H745). zenon_intro zenon_H628. zenon_intro zenon_H746. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H746). zenon_intro zenon_H640. zenon_intro zenon_H747. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H747). zenon_intro zenon_H515. zenon_intro zenon_H748. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H748). zenon_intro zenon_H584. zenon_intro zenon_H505. % 83.92/84.04 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H74a. zenon_intro zenon_H749. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H749). zenon_intro zenon_H48d. zenon_intro zenon_H74b. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H74b). zenon_intro zenon_H45f. zenon_intro zenon_H74c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H74c). zenon_intro zenon_H15b. zenon_intro zenon_H74d. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H74d). zenon_intro zenon_H74f. zenon_intro zenon_H74e. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H74e). zenon_intro zenon_H751. zenon_intro zenon_H750. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H750). zenon_intro zenon_Hc9. zenon_intro zenon_H752. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H752). zenon_intro zenon_H15c. zenon_intro zenon_H753. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H753). zenon_intro zenon_H48e. zenon_intro zenon_H754. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H754). zenon_intro zenon_H14f. zenon_intro zenon_H755. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H755). zenon_intro zenon_H140. zenon_intro zenon_H756. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H756). zenon_intro zenon_H141. zenon_intro zenon_H757. % 83.92/84.04 apply (zenon_and_s _ 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zenon_intro zenon_H5a9. zenon_intro zenon_H765. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H765). zenon_intro zenon_H605. zenon_intro zenon_H766. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H766). zenon_intro zenon_H134. zenon_intro zenon_H767. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H767). zenon_intro zenon_Hce. zenon_intro zenon_H768. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H768). zenon_intro zenon_H11b. zenon_intro zenon_H769. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H769). zenon_intro zenon_H657. zenon_intro zenon_H76a. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H76a). zenon_intro zenon_H518. zenon_intro zenon_H76b. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H76b). zenon_intro zenon_H57f. zenon_intro zenon_H76c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H76c). zenon_intro zenon_H587. zenon_intro zenon_H51e. % 83.92/84.04 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H1cf. zenon_intro zenon_H76d. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H76d). zenon_intro zenon_H18e. 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(zenon_and_s _ _ zenon_H78e). zenon_intro zenon_H2f3. zenon_intro zenon_H78f. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H78f). zenon_intro zenon_H791. zenon_intro zenon_H790. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H790). zenon_intro zenon_H793. zenon_intro zenon_H792. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H792). zenon_intro zenon_H3b1. zenon_intro zenon_H794. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H794). zenon_intro zenon_H2cd. zenon_intro zenon_H795. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H795). zenon_intro zenon_H1d8. zenon_intro zenon_H796. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H796). zenon_intro zenon_H427. zenon_intro zenon_H797. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H797). zenon_intro zenon_H1d4. zenon_intro zenon_H798. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H798). zenon_intro zenon_H41f. zenon_intro zenon_H799. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H799). zenon_intro zenon_H79b. zenon_intro zenon_H79a. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H79a). zenon_intro zenon_H1bf. zenon_intro zenon_H79c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H79c). zenon_intro zenon_H252. zenon_intro zenon_H79d. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H79d). zenon_intro zenon_H20a. zenon_intro zenon_H79e. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H79e). zenon_intro zenon_H32b. zenon_intro zenon_H79f. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H79f). zenon_intro zenon_H2d9. zenon_intro zenon_H3ee. % 83.92/84.04 apply (zenon_and_s _ _ ax6). zenon_intro zenon_Hdc. zenon_intro zenon_H7a0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a0). zenon_intro zenon_Hef. zenon_intro zenon_H7a1. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a1). zenon_intro zenon_H509. zenon_intro zenon_H7a2. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a2). zenon_intro zenon_H554. zenon_intro zenon_H7a3. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a3). zenon_intro zenon_H7a5. zenon_intro zenon_H7a4. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a4). zenon_intro zenon_Hbc. zenon_intro zenon_H7a6. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a6). zenon_intro zenon_H472. zenon_intro zenon_H7a7. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a7). zenon_intro zenon_H466. zenon_intro zenon_H7a8. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a8). zenon_intro zenon_H511. zenon_intro zenon_H7a9. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a9). zenon_intro zenon_H7ab. zenon_intro zenon_H7aa. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7aa). zenon_intro zenon_H54b. zenon_intro zenon_H7ac. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7ac). zenon_intro zenon_H49b. zenon_intro zenon_H7ad. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7ad). zenon_intro zenon_H124. zenon_intro zenon_H7ae. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7ae). zenon_intro zenon_He8. zenon_intro zenon_H7af. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7af). zenon_intro zenon_H112. zenon_intro zenon_H7b0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b0). zenon_intro zenon_Hf7. zenon_intro zenon_H7b1. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b1). zenon_intro zenon_H11f. zenon_intro zenon_H7b2. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b2). zenon_intro zenon_H59b. zenon_intro zenon_H7b3. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b3). zenon_intro zenon_H73. zenon_intro zenon_H7b4. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b4). zenon_intro zenon_H91. zenon_intro zenon_H7b5. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b5). zenon_intro zenon_H94. zenon_intro zenon_H7b6. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b6). zenon_intro zenon_H12f. zenon_intro zenon_H7b7. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b7). zenon_intro zenon_H57e. zenon_intro zenon_H7b8. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b8). zenon_intro zenon_H653. zenon_intro zenon_H7b9. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b9). zenon_intro zenon_Hb2. zenon_intro zenon_H7ba. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7ba). zenon_intro zenon_H55b. zenon_intro zenon_H7bb. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7bb). zenon_intro zenon_H82. zenon_intro zenon_H7bc. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7bc). zenon_intro zenon_Hc3. zenon_intro zenon_H7bd. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7bd). zenon_intro zenon_H8a. zenon_intro zenon_H7be. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7be). zenon_intro zenon_H7c. zenon_intro zenon_H7bf. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7bf). zenon_intro zenon_Hd1. zenon_intro zenon_H7c0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c0). zenon_intro zenon_H129. zenon_intro zenon_H7c1. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c1). zenon_intro zenon_H529. zenon_intro zenon_H7c2. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c2). zenon_intro zenon_H7c4. zenon_intro zenon_H7c3. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c3). zenon_intro zenon_H7c6. zenon_intro zenon_H7c5. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c5). zenon_intro zenon_H633. zenon_intro zenon_H7c7. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c7). zenon_intro zenon_H48b. zenon_intro zenon_H7c8. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c8). zenon_intro zenon_H4cb. zenon_intro zenon_H7c9. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c9). zenon_intro zenon_H51b. zenon_intro zenon_H7ca. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7ca). zenon_intro zenon_H7cc. zenon_intro zenon_H7cb. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7cb). zenon_intro zenon_H579. zenon_intro zenon_H7cd. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7cd). zenon_intro zenon_H671. zenon_intro zenon_H7ce. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7ce). zenon_intro zenon_H13e. zenon_intro zenon_H7cf. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7cf). zenon_intro zenon_H462. zenon_intro zenon_H7d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d0). zenon_intro zenon_H118. zenon_intro zenon_H7d1. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d1). zenon_intro zenon_H50f. zenon_intro zenon_H7d2. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d2). zenon_intro zenon_H4fb. zenon_intro zenon_H7d3. % 83.92/84.04 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H163. zenon_intro zenon_H7d4. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d4). zenon_intro zenon_H3f. zenon_intro zenon_H7d5. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d5). zenon_intro zenon_H200. zenon_intro zenon_H7d6. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d6). zenon_intro zenon_H2e. zenon_intro zenon_H7d7. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d7). zenon_intro zenon_H1ee. zenon_intro zenon_H25a. % 83.92/84.04 apply (zenon_and_s _ _ ax8). zenon_intro zenon_Had. zenon_intro zenon_H7d8. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d8). zenon_intro zenon_Ha3. zenon_intro zenon_H7d9. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d9). zenon_intro zenon_H21e. zenon_intro zenon_H7da. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7da). zenon_intro zenon_Ha8. zenon_intro zenon_H7db. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7db). zenon_intro zenon_Hd6. zenon_intro zenon_H47f. % 83.92/84.04 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H7dc. zenon_intro zenon_H37d. % 83.92/84.04 apply (zenon_and_s _ _ ax11). zenon_intro zenon_H7dd. zenon_intro zenon_H5b3. % 83.92/84.04 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H14. zenon_intro zenon_H7de. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7de). zenon_intro zenon_H2c. zenon_intro zenon_H17. % 83.92/84.04 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H7a. zenon_intro zenon_H7df. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7df). zenon_intro zenon_H78. zenon_intro zenon_H5d. % 83.92/84.04 apply (zenon_and_s _ _ ax14). zenon_intro zenon_H64. zenon_intro zenon_H7e0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7e0). zenon_intro zenon_H1fd. zenon_intro zenon_H7e1. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H7e1). zenon_intro zenon_H68b. zenon_intro zenon_H5c. % 83.92/84.04 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H7e3. zenon_intro zenon_H7e2. % 83.92/84.04 apply (zenon_notand_s _ _ zenon_H7e3); [ zenon_intro zenon_H7e5 | zenon_intro zenon_H7e4 ]. % 83.92/84.04 cut (((h1 (e12)) = (op2 (e20) (e20))) = ((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10))))). % 83.92/84.04 intro zenon_D_pnotp. % 83.92/84.04 apply zenon_H7e5. % 83.92/84.04 rewrite <- zenon_D_pnotp. % 83.92/84.04 exact zenon_H68b. % 83.92/84.04 cut (((op2 (e20) (e20)) = (op2 (h1 (e10)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H7e6]. % 83.92/84.04 cut (((h1 (e12)) = (h1 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H7e7]. % 83.92/84.04 congruence. % 83.92/84.04 elim (classic ((h1 (op1 (e10) (e10))) = (h1 (op1 (e10) (e10))))); [ zenon_intro zenon_H7e8 | zenon_intro zenon_H7e9 ]. % 83.92/84.04 cut (((h1 (op1 (e10) (e10))) = (h1 (op1 (e10) (e10)))) = ((h1 (e12)) = (h1 (op1 (e10) (e10))))). % 83.92/84.04 intro zenon_D_pnotp. % 83.92/84.04 apply zenon_H7e7. % 83.92/84.04 rewrite <- zenon_D_pnotp. % 83.92/84.04 exact zenon_H7e8. % 83.92/84.04 cut (((h1 (op1 (e10) (e10))) = (h1 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H7e9]. % 83.92/84.04 cut (((h1 (op1 (e10) (e10))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H7ea]. % 83.92/84.04 congruence. % 83.92/84.04 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 83.92/84.04 congruence. % 83.92/84.04 apply zenon_H33. apply sym_equal. exact zenon_H2c. % 83.92/84.04 apply zenon_H7e9. apply refl_equal. % 83.92/84.04 apply zenon_H7e9. apply refl_equal. % 83.92/84.04 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H7eb]. % 83.92/84.04 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H7eb]. % 83.92/84.04 congruence. % 83.92/84.04 apply zenon_H7eb. apply sym_equal. exact zenon_H64. % 83.92/84.04 apply zenon_H7eb. apply sym_equal. exact zenon_H64. % 83.92/84.04 apply (zenon_notand_s _ _ zenon_H7e4); [ zenon_intro zenon_H7ed | zenon_intro zenon_H7ec ]. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ]. % 83.92/84.04 apply (zenon_L3_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 83.92/84.04 cut (((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))). % 83.92/84.04 intro zenon_D_pnotp. % 83.92/84.04 apply zenon_H7ed. % 83.92/84.04 rewrite <- zenon_D_pnotp. % 83.92/84.04 exact zenon_H5c. % 83.92/84.04 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e10)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H7ee]. % 83.92/84.04 cut (((h1 (e13)) = (h1 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H7ef]. % 83.92/84.04 congruence. % 83.92/84.04 elim (classic ((h1 (op1 (e10) (e11))) = (h1 (op1 (e10) (e11))))); [ zenon_intro zenon_H7f0 | zenon_intro zenon_H7f1 ]. % 83.92/84.04 cut (((h1 (op1 (e10) (e11))) = (h1 (op1 (e10) (e11)))) = ((h1 (e13)) = (h1 (op1 (e10) (e11))))). % 83.92/84.04 intro zenon_D_pnotp. % 83.92/84.04 apply zenon_H7ef. % 83.92/84.04 rewrite <- zenon_D_pnotp. % 83.92/84.04 exact zenon_H7f0. % 83.92/84.04 cut (((h1 (op1 (e10) (e11))) = (h1 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H7f1]. % 83.92/84.04 cut (((h1 (op1 (e10) (e11))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H7f2]. % 83.92/84.04 congruence. % 83.92/84.04 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1c7]. % 83.92/84.04 congruence. % 83.92/84.04 exact (zenon_H1c7 zenon_H169). % 83.92/84.04 apply zenon_H7f1. apply refl_equal. % 83.92/84.04 apply zenon_H7f1. apply refl_equal. % 83.92/84.04 cut (((op2 (e20) (op2 (e20) (e20))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7f3]. % 83.92/84.04 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H7eb]. % 83.92/84.04 congruence. % 83.92/84.04 apply zenon_H7eb. apply sym_equal. exact zenon_H64. % 83.92/84.04 apply zenon_H7f3. apply sym_equal. exact zenon_H1fd. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ]. % 83.92/84.04 apply (zenon_L4_); trivial. % 83.92/84.04 apply (zenon_L5_); trivial. % 83.92/84.04 apply (zenon_notand_s _ _ zenon_H7ec); [ zenon_intro zenon_H7f5 | zenon_intro zenon_H7f4 ]. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ]. % 83.92/84.04 apply (zenon_L7_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ]. % 83.92/84.04 apply (zenon_L9_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ]. % 83.92/84.04 cut (((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) = ((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))). % 83.92/84.04 intro zenon_D_pnotp. % 83.92/84.04 apply zenon_H7f5. % 83.92/84.04 rewrite <- zenon_D_pnotp. % 83.92/84.04 exact zenon_H1fd. % 83.92/84.04 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e10)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H7f6]. % 83.92/84.04 cut (((h1 (e11)) = (h1 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H7f7]. % 83.92/84.04 congruence. % 83.92/84.04 elim (classic ((h1 (op1 (e10) (e12))) = (h1 (op1 (e10) (e12))))); [ zenon_intro zenon_H7f8 | zenon_intro zenon_H7f9 ]. % 83.92/84.04 cut (((h1 (op1 (e10) (e12))) = (h1 (op1 (e10) (e12)))) = ((h1 (e11)) = (h1 (op1 (e10) (e12))))). % 83.92/84.04 intro zenon_D_pnotp. % 83.92/84.04 apply zenon_H7f7. % 83.92/84.04 rewrite <- zenon_D_pnotp. % 83.92/84.04 exact zenon_H7f8. % 83.92/84.04 cut (((h1 (op1 (e10) (e12))) = (h1 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H7f9]. % 83.92/84.04 cut (((h1 (op1 (e10) (e12))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7fa]. % 83.92/84.04 congruence. % 83.92/84.04 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3b0]. % 83.92/84.04 congruence. % 83.92/84.04 exact (zenon_H3b0 zenon_H244). % 83.92/84.04 apply zenon_H7f9. apply refl_equal. % 83.92/84.04 apply zenon_H7f9. apply refl_equal. % 83.92/84.04 cut (((op2 (e20) (e20)) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H7fb]. % 83.92/84.04 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H7eb]. % 83.92/84.04 congruence. % 83.92/84.04 apply zenon_H7eb. apply sym_equal. exact zenon_H64. % 83.92/84.04 apply zenon_H7fb. apply sym_equal. exact zenon_H68b. % 83.92/84.04 apply (zenon_L10_); trivial. % 83.92/84.04 apply (zenon_notand_s _ _ zenon_H7f4); [ zenon_intro zenon_H62 | zenon_intro zenon_H7fc ]. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ]. % 83.92/84.04 apply (zenon_L25_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ]. % 83.92/84.04 apply (zenon_L32_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 83.92/84.04 apply (zenon_L34_); trivial. % 83.92/84.04 apply (zenon_L36_); trivial. % 83.92/84.04 apply (zenon_notand_s _ _ zenon_H7fc); [ zenon_intro zenon_H210 | zenon_intro zenon_H7fd ]. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ]. % 83.92/84.04 apply (zenon_L37_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.04 apply (zenon_L38_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L141_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.04 apply (zenon_L150_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L155_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L165_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L168_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L172_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.04 apply (zenon_L184_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.04 apply (zenon_L189_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.04 apply (zenon_L193_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.04 apply (zenon_L198_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.04 apply (zenon_L204_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.04 apply (zenon_L206_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.04 apply (zenon_L209_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.04 apply (zenon_L220_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.04 apply (zenon_L222_); trivial. % 83.92/84.04 apply (zenon_L227_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.04 apply (zenon_L231_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.04 apply (zenon_L239_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.04 apply (zenon_L248_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.04 apply (zenon_L249_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.04 apply (zenon_L258_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.04 apply (zenon_L267_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.04 apply (zenon_L316_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.04 apply (zenon_L395_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.04 apply (zenon_L396_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.04 apply (zenon_L431_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.04 apply (zenon_L438_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.04 apply (zenon_L489_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.04 apply (zenon_L505_); trivial. % 83.92/84.04 apply (zenon_L506_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.92/84.04 apply (zenon_L509_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.04 apply (zenon_L38_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L511_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L141_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.04 apply (zenon_L150_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L511_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L155_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L511_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L165_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L511_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L168_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L511_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L172_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.04 apply (zenon_L184_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.04 apply (zenon_L189_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.04 apply (zenon_L193_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.04 apply (zenon_L198_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.04 apply (zenon_L204_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.04 apply (zenon_L206_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.04 apply (zenon_L209_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.04 apply (zenon_L220_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.04 apply (zenon_L222_); trivial. % 83.92/84.04 apply (zenon_L227_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.04 apply (zenon_L231_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.04 apply (zenon_L239_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.04 apply (zenon_L248_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.04 apply (zenon_L249_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.04 apply (zenon_L258_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.04 apply (zenon_L267_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.04 apply (zenon_L316_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.04 apply (zenon_L395_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.04 apply (zenon_L396_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.04 apply (zenon_L431_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.04 apply (zenon_L438_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.04 apply (zenon_L489_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.04 apply (zenon_L505_); trivial. % 83.92/84.04 apply (zenon_L506_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.04 apply (zenon_L38_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L520_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L141_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.04 apply (zenon_L150_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L520_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L155_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L520_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L165_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L520_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L168_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L520_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L172_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.04 apply (zenon_L184_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.04 apply (zenon_L189_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.04 apply (zenon_L193_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.04 apply (zenon_L198_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.04 apply (zenon_L204_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.04 apply (zenon_L206_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.04 apply (zenon_L209_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.04 apply (zenon_L220_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.04 apply (zenon_L222_); trivial. % 83.92/84.04 apply (zenon_L227_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.04 apply (zenon_L231_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.04 apply (zenon_L239_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.04 apply (zenon_L248_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.04 apply (zenon_L249_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.04 apply (zenon_L258_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.04 apply (zenon_L267_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.04 apply (zenon_L316_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.04 apply (zenon_L395_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.04 apply (zenon_L396_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.04 apply (zenon_L431_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.04 apply (zenon_L438_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.04 apply (zenon_L489_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.04 apply (zenon_L505_); trivial. % 83.92/84.04 apply (zenon_L506_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.04 apply (zenon_L38_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L522_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L141_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.04 apply (zenon_L150_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L522_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L155_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L522_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L165_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L522_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L168_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L522_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L172_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.04 apply (zenon_L184_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.04 apply (zenon_L189_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.04 apply (zenon_L193_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.04 apply (zenon_L198_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.04 apply (zenon_L204_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.04 apply (zenon_L206_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.04 apply (zenon_L209_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.04 apply (zenon_L220_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.04 apply (zenon_L222_); trivial. % 83.92/84.04 apply (zenon_L227_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.04 apply (zenon_L231_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.04 apply (zenon_L239_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.04 apply (zenon_L248_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.04 apply (zenon_L249_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.04 apply (zenon_L258_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.04 apply (zenon_L267_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.04 apply (zenon_L316_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.04 apply (zenon_L395_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.04 apply (zenon_L396_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.04 apply (zenon_L431_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.04 apply (zenon_L438_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.04 apply (zenon_L489_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.04 apply (zenon_L505_); trivial. % 83.92/84.04 apply (zenon_L506_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.04 apply (zenon_L38_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L526_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L141_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.04 apply (zenon_L150_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L526_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L155_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L526_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L165_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L526_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L168_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L526_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L172_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.04 apply (zenon_L184_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.04 apply (zenon_L189_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.04 apply (zenon_L193_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.04 apply (zenon_L198_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.04 apply (zenon_L204_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.04 apply (zenon_L206_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.04 apply (zenon_L209_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.04 apply (zenon_L220_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.04 apply (zenon_L222_); trivial. % 83.92/84.04 apply (zenon_L227_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.04 apply (zenon_L231_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.04 apply (zenon_L239_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.04 apply (zenon_L248_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.04 apply (zenon_L249_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.04 apply (zenon_L258_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.04 apply (zenon_L267_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.04 apply (zenon_L316_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.04 apply (zenon_L395_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.04 apply (zenon_L396_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.04 apply (zenon_L431_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.04 apply (zenon_L438_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.04 apply (zenon_L489_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.04 apply (zenon_L505_); trivial. % 83.92/84.04 apply (zenon_L506_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.92/84.04 apply (zenon_L544_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.92/84.04 apply (zenon_L550_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.92/84.04 apply (zenon_L556_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.92/84.04 apply (zenon_L564_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.92/84.04 apply (zenon_L573_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.92/84.04 apply (zenon_L575_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.92/84.04 apply (zenon_L578_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.92/84.04 apply (zenon_L587_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.92/84.04 apply (zenon_L590_); trivial. % 83.92/84.04 apply (zenon_L615_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ]. % 83.92/84.04 apply (zenon_L631_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ]. % 83.92/84.04 apply (zenon_L637_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ]. % 83.92/84.04 apply (zenon_L650_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ]. % 83.92/84.04 apply (zenon_L651_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ]. % 83.92/84.04 apply (zenon_L678_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ]. % 83.92/84.04 apply (zenon_L721_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ]. % 83.92/84.04 apply (zenon_L769_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ]. % 83.92/84.04 apply (zenon_L836_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ]. % 83.92/84.04 apply (zenon_L837_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ]. % 83.92/84.04 apply (zenon_L877_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ]. % 83.92/84.04 apply (zenon_L888_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ]. % 83.92/84.04 apply (zenon_L943_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ]. % 83.92/84.04 apply (zenon_L965_); trivial. % 83.92/84.04 apply (zenon_L966_); trivial. % 83.92/84.04 apply (zenon_notand_s _ _ zenon_H7fd); [ zenon_intro zenon_H67e | zenon_intro zenon_H820 ]. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ]. % 83.92/84.04 apply (zenon_L37_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.04 apply (zenon_L38_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L969_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.04 apply (zenon_L150_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L971_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L973_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L975_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L977_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.04 apply (zenon_L184_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.04 apply (zenon_L189_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.04 apply (zenon_L193_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.04 apply (zenon_L198_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.04 apply (zenon_L204_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.04 apply (zenon_L206_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.04 apply (zenon_L209_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.04 apply (zenon_L220_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.04 apply (zenon_L222_); trivial. % 83.92/84.04 apply (zenon_L227_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.04 apply (zenon_L231_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.04 apply (zenon_L239_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.04 apply (zenon_L248_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.04 apply (zenon_L249_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.04 apply (zenon_L258_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.04 apply (zenon_L267_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.04 apply (zenon_L316_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.04 apply (zenon_L395_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.04 apply (zenon_L396_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.04 apply (zenon_L431_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.04 apply (zenon_L438_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.04 apply (zenon_L489_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.04 apply (zenon_L505_); trivial. % 83.92/84.04 apply (zenon_L506_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.92/84.04 apply (zenon_L509_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.04 apply (zenon_L38_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L511_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L969_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.04 apply (zenon_L150_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L511_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L971_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L511_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L973_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L511_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L975_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L511_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L977_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.04 apply (zenon_L184_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.04 apply (zenon_L189_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.04 apply (zenon_L193_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.04 apply (zenon_L198_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.04 apply (zenon_L204_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.04 apply (zenon_L206_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.04 apply (zenon_L209_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.04 apply (zenon_L220_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.04 apply (zenon_L222_); trivial. % 83.92/84.04 apply (zenon_L227_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.04 apply (zenon_L231_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.04 apply (zenon_L239_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.04 apply (zenon_L248_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.04 apply (zenon_L249_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.04 apply (zenon_L258_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.04 apply (zenon_L267_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.04 apply (zenon_L316_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.04 apply (zenon_L395_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.04 apply (zenon_L396_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.04 apply (zenon_L431_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.04 apply (zenon_L438_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.04 apply (zenon_L489_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.04 apply (zenon_L505_); trivial. % 83.92/84.04 apply (zenon_L506_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.04 apply (zenon_L38_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L520_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L969_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.04 apply (zenon_L150_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L520_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L971_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L520_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L973_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L520_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L975_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L520_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L977_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.04 apply (zenon_L184_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.04 apply (zenon_L189_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.04 apply (zenon_L193_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.04 apply (zenon_L198_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.04 apply (zenon_L204_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.04 apply (zenon_L206_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.04 apply (zenon_L209_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.04 apply (zenon_L220_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.04 apply (zenon_L222_); trivial. % 83.92/84.04 apply (zenon_L227_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.04 apply (zenon_L231_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.04 apply (zenon_L239_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.04 apply (zenon_L248_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.04 apply (zenon_L249_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.04 apply (zenon_L258_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.04 apply (zenon_L267_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.04 apply (zenon_L316_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.04 apply (zenon_L395_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.04 apply (zenon_L396_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.04 apply (zenon_L431_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.04 apply (zenon_L438_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.04 apply (zenon_L489_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.04 apply (zenon_L505_); trivial. % 83.92/84.04 apply (zenon_L506_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.04 apply (zenon_L38_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L522_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L969_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.04 apply (zenon_L150_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L522_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L971_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L522_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L973_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L522_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L975_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L522_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L977_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.04 apply (zenon_L184_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.04 apply (zenon_L189_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.04 apply (zenon_L193_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.04 apply (zenon_L198_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.04 apply (zenon_L204_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.04 apply (zenon_L206_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.04 apply (zenon_L209_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.04 apply (zenon_L220_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.04 apply (zenon_L222_); trivial. % 83.92/84.04 apply (zenon_L227_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.04 apply (zenon_L231_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.04 apply (zenon_L239_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.04 apply (zenon_L248_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.04 apply (zenon_L249_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.04 apply (zenon_L258_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.04 apply (zenon_L267_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.04 apply (zenon_L316_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.04 apply (zenon_L395_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.04 apply (zenon_L396_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.04 apply (zenon_L431_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.04 apply (zenon_L438_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.04 apply (zenon_L489_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.04 apply (zenon_L505_); trivial. % 83.92/84.04 apply (zenon_L506_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.04 apply (zenon_L38_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L526_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L969_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.04 apply (zenon_L150_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L526_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L971_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L526_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L973_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L526_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L975_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L526_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L977_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.04 apply (zenon_L184_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.04 apply (zenon_L189_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.04 apply (zenon_L193_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.04 apply (zenon_L198_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.04 apply (zenon_L204_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.04 apply (zenon_L206_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.04 apply (zenon_L209_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.04 apply (zenon_L220_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.04 apply (zenon_L222_); trivial. % 83.92/84.04 apply (zenon_L227_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.04 apply (zenon_L231_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.04 apply (zenon_L239_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.04 apply (zenon_L248_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.04 apply (zenon_L249_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.04 apply (zenon_L258_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.04 apply (zenon_L267_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.04 apply (zenon_L316_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.04 apply (zenon_L395_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.04 apply (zenon_L396_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.04 apply (zenon_L431_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.04 apply (zenon_L438_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.04 apply (zenon_L489_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.04 apply (zenon_L505_); trivial. % 83.92/84.04 apply (zenon_L506_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.92/84.04 apply (zenon_L544_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.92/84.04 apply (zenon_L550_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.92/84.04 apply (zenon_L556_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.92/84.04 apply (zenon_L564_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.92/84.04 apply (zenon_L573_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.92/84.04 apply (zenon_L575_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.92/84.04 apply (zenon_L578_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.92/84.04 apply (zenon_L587_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.92/84.04 apply (zenon_L590_); trivial. % 83.92/84.04 apply (zenon_L615_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ]. % 83.92/84.04 apply (zenon_L631_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ]. % 83.92/84.04 apply (zenon_L637_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ]. % 83.92/84.04 apply (zenon_L650_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ]. % 83.92/84.04 apply (zenon_L651_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ]. % 83.92/84.04 apply (zenon_L678_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ]. % 83.92/84.04 apply (zenon_L721_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ]. % 83.92/84.04 apply (zenon_L769_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ]. % 83.92/84.04 apply (zenon_L836_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ]. % 83.92/84.04 apply (zenon_L837_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ]. % 83.92/84.04 apply (zenon_L877_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ]. % 83.92/84.04 apply (zenon_L888_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ]. % 83.92/84.04 apply (zenon_L943_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ]. % 83.92/84.04 apply (zenon_L965_); trivial. % 83.92/84.04 apply (zenon_L966_); trivial. % 83.92/84.04 apply (zenon_notand_s _ _ zenon_H820); [ zenon_intro zenon_H68d | zenon_intro zenon_H821 ]. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ]. % 83.92/84.04 apply (zenon_L37_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.04 apply (zenon_L38_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L982_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.04 apply (zenon_L150_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L984_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L986_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L988_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L89_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L990_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.04 apply (zenon_L184_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.04 apply (zenon_L189_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.04 apply (zenon_L193_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.04 apply (zenon_L198_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.04 apply (zenon_L204_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.04 apply (zenon_L206_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.04 apply (zenon_L209_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.04 apply (zenon_L220_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.04 apply (zenon_L222_); trivial. % 83.92/84.04 apply (zenon_L227_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.04 apply (zenon_L231_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.04 apply (zenon_L239_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.04 apply (zenon_L248_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.04 apply (zenon_L249_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.04 apply (zenon_L258_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.04 apply (zenon_L267_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.04 apply (zenon_L316_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.04 apply (zenon_L395_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.04 apply (zenon_L396_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.04 apply (zenon_L431_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.04 apply (zenon_L438_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.04 apply (zenon_L489_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.04 apply (zenon_L505_); trivial. % 83.92/84.04 apply (zenon_L506_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.92/84.04 apply (zenon_L509_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.04 apply (zenon_L38_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.04 apply (zenon_L511_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.04 apply (zenon_L982_); trivial. % 83.92/84.04 apply (zenon_L143_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.04 apply (zenon_L150_); trivial. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.04 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L984_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L986_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L988_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L990_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L982_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L984_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L986_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L988_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L990_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L982_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L984_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L986_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L988_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L990_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L982_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L984_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L986_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L988_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L990_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.92/84.05 apply (zenon_L544_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.92/84.05 apply (zenon_L550_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.92/84.05 apply (zenon_L556_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.92/84.05 apply (zenon_L564_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.92/84.05 apply (zenon_L573_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.92/84.05 apply (zenon_L575_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.92/84.05 apply (zenon_L578_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.92/84.05 apply (zenon_L587_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.92/84.05 apply (zenon_L590_); trivial. % 83.92/84.05 apply (zenon_L615_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ]. % 83.92/84.05 apply (zenon_L631_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ]. % 83.92/84.05 apply (zenon_L637_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ]. % 83.92/84.05 apply (zenon_L650_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ]. % 83.92/84.05 apply (zenon_L651_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ]. % 83.92/84.05 apply (zenon_L678_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ]. % 83.92/84.05 apply (zenon_L721_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ]. % 83.92/84.05 apply (zenon_L769_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ]. % 83.92/84.05 apply (zenon_L836_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ]. % 83.92/84.05 apply (zenon_L837_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ]. % 83.92/84.05 apply (zenon_L877_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ]. % 83.92/84.05 apply (zenon_L888_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ]. % 83.92/84.05 apply (zenon_L943_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ]. % 83.92/84.05 apply (zenon_L965_); trivial. % 83.92/84.05 apply (zenon_L966_); trivial. % 83.92/84.05 apply (zenon_notand_s _ _ zenon_H821); [ zenon_intro zenon_H699 | zenon_intro zenon_H822 ]. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ]. % 83.92/84.05 apply (zenon_L37_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L993_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L995_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L997_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L999_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1000_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.92/84.05 apply (zenon_L509_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L993_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L995_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L997_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L999_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1000_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L993_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L995_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L997_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L999_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1000_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L993_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L995_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L997_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L999_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1000_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L993_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L995_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L997_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L999_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1000_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.92/84.05 apply (zenon_L544_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.92/84.05 apply (zenon_L550_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.92/84.05 apply (zenon_L556_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.92/84.05 apply (zenon_L564_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.92/84.05 apply (zenon_L573_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.92/84.05 apply (zenon_L575_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.92/84.05 apply (zenon_L578_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.92/84.05 apply (zenon_L587_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.92/84.05 apply (zenon_L590_); trivial. % 83.92/84.05 apply (zenon_L615_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ]. % 83.92/84.05 apply (zenon_L631_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ]. % 83.92/84.05 apply (zenon_L637_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ]. % 83.92/84.05 apply (zenon_L650_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ]. % 83.92/84.05 apply (zenon_L651_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ]. % 83.92/84.05 apply (zenon_L678_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ]. % 83.92/84.05 apply (zenon_L721_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ]. % 83.92/84.05 apply (zenon_L769_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ]. % 83.92/84.05 apply (zenon_L836_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ]. % 83.92/84.05 apply (zenon_L837_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ]. % 83.92/84.05 apply (zenon_L877_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ]. % 83.92/84.05 apply (zenon_L888_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ]. % 83.92/84.05 apply (zenon_L943_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ]. % 83.92/84.05 apply (zenon_L965_); trivial. % 83.92/84.05 apply (zenon_L966_); trivial. % 83.92/84.05 apply (zenon_notand_s _ _ zenon_H822); [ zenon_intro zenon_H6a6 | zenon_intro zenon_H823 ]. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ]. % 83.92/84.05 apply (zenon_L37_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1002_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1003_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1004_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1005_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1006_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.92/84.05 apply (zenon_L509_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1002_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1003_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1004_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1005_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1006_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1002_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1003_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1004_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1005_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1006_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1002_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1003_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1004_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1005_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1006_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1002_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1003_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1004_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1005_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1006_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.92/84.05 apply (zenon_L544_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.92/84.05 apply (zenon_L550_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.92/84.05 apply (zenon_L556_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.92/84.05 apply (zenon_L564_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.92/84.05 apply (zenon_L573_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.92/84.05 apply (zenon_L575_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.92/84.05 apply (zenon_L578_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.92/84.05 apply (zenon_L587_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.92/84.05 apply (zenon_L590_); trivial. % 83.92/84.05 apply (zenon_L615_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ]. % 83.92/84.05 apply (zenon_L631_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ]. % 83.92/84.05 apply (zenon_L637_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ]. % 83.92/84.05 apply (zenon_L650_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ]. % 83.92/84.05 apply (zenon_L651_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ]. % 83.92/84.05 apply (zenon_L678_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ]. % 83.92/84.05 apply (zenon_L721_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ]. % 83.92/84.05 apply (zenon_L769_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ]. % 83.92/84.05 apply (zenon_L836_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ]. % 83.92/84.05 apply (zenon_L837_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ]. % 83.92/84.05 apply (zenon_L877_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ]. % 83.92/84.05 apply (zenon_L888_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ]. % 83.92/84.05 apply (zenon_L943_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ]. % 83.92/84.05 apply (zenon_L965_); trivial. % 83.92/84.05 apply (zenon_L966_); trivial. % 83.92/84.05 apply (zenon_notand_s _ _ zenon_H823); [ zenon_intro zenon_H6b2 | zenon_intro zenon_H824 ]. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ]. % 83.92/84.05 apply (zenon_L37_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1009_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1011_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1013_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1015_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1017_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.92/84.05 apply (zenon_L509_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1009_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1011_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1013_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1015_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1017_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1009_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1011_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1013_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1015_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1017_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1009_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1011_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1013_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1015_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1017_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1009_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1011_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1013_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1015_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1017_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.92/84.05 apply (zenon_L544_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.92/84.05 apply (zenon_L550_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.92/84.05 apply (zenon_L556_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.92/84.05 apply (zenon_L564_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.92/84.05 apply (zenon_L573_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.92/84.05 apply (zenon_L575_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.92/84.05 apply (zenon_L578_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.92/84.05 apply (zenon_L587_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.92/84.05 apply (zenon_L590_); trivial. % 83.92/84.05 apply (zenon_L615_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ]. % 83.92/84.05 apply (zenon_L631_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ]. % 83.92/84.05 apply (zenon_L637_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ]. % 83.92/84.05 apply (zenon_L650_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ]. % 83.92/84.05 apply (zenon_L651_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ]. % 83.92/84.05 apply (zenon_L678_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ]. % 83.92/84.05 apply (zenon_L721_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ]. % 83.92/84.05 apply (zenon_L769_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ]. % 83.92/84.05 apply (zenon_L836_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ]. % 83.92/84.05 apply (zenon_L837_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ]. % 83.92/84.05 apply (zenon_L877_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ]. % 83.92/84.05 apply (zenon_L888_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ]. % 83.92/84.05 apply (zenon_L943_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ]. % 83.92/84.05 apply (zenon_L965_); trivial. % 83.92/84.05 apply (zenon_L966_); trivial. % 83.92/84.05 apply (zenon_notand_s _ _ zenon_H824); [ zenon_intro zenon_H6bd | zenon_intro zenon_H825 ]. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ]. % 83.92/84.05 apply (zenon_L37_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1026_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1028_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1030_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1032_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1034_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.92/84.05 apply (zenon_L509_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1026_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1028_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1030_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1032_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1034_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1026_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1028_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1030_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1032_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L520_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1034_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1026_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1028_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1030_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1032_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L522_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1034_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1026_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1028_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1030_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1032_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L526_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1034_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.92/84.05 apply (zenon_L544_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.92/84.05 apply (zenon_L550_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.92/84.05 apply (zenon_L556_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.92/84.05 apply (zenon_L564_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.92/84.05 apply (zenon_L573_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.92/84.05 apply (zenon_L575_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.92/84.05 apply (zenon_L578_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.92/84.05 apply (zenon_L587_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.92/84.05 apply (zenon_L590_); trivial. % 83.92/84.05 apply (zenon_L615_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ]. % 83.92/84.05 apply (zenon_L631_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ]. % 83.92/84.05 apply (zenon_L637_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ]. % 83.92/84.05 apply (zenon_L650_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ]. % 83.92/84.05 apply (zenon_L651_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ]. % 83.92/84.05 apply (zenon_L678_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ]. % 83.92/84.05 apply (zenon_L721_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ]. % 83.92/84.05 apply (zenon_L769_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ]. % 83.92/84.05 apply (zenon_L836_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ]. % 83.92/84.05 apply (zenon_L837_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ]. % 83.92/84.05 apply (zenon_L877_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ]. % 83.92/84.05 apply (zenon_L888_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ]. % 83.92/84.05 apply (zenon_L943_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ]. % 83.92/84.05 apply (zenon_L965_); trivial. % 83.92/84.05 apply (zenon_L966_); trivial. % 83.92/84.05 apply (zenon_notand_s _ _ zenon_H825); [ zenon_intro zenon_H6c8 | zenon_intro zenon_H826 ]. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ]. % 83.92/84.05 apply (zenon_L37_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1040_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1044_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1048_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1052_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L89_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1056_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.05 apply (zenon_L184_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.05 apply (zenon_L189_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.05 apply (zenon_L193_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.05 apply (zenon_L198_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.05 apply (zenon_L204_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.05 apply (zenon_L206_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.05 apply (zenon_L209_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.05 apply (zenon_L220_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.05 apply (zenon_L222_); trivial. % 83.92/84.05 apply (zenon_L227_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.05 apply (zenon_L231_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.05 apply (zenon_L239_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.05 apply (zenon_L248_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.05 apply (zenon_L249_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.05 apply (zenon_L258_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.05 apply (zenon_L267_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.05 apply (zenon_L316_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.05 apply (zenon_L395_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.05 apply (zenon_L396_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.05 apply (zenon_L431_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.05 apply (zenon_L438_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.05 apply (zenon_L489_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.05 apply (zenon_L505_); trivial. % 83.92/84.05 apply (zenon_L506_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.92/84.05 apply (zenon_L509_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.05 apply (zenon_L38_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1040_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.05 apply (zenon_L150_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.05 apply (zenon_L40_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.05 apply (zenon_L511_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.05 apply (zenon_L1044_); trivial. % 83.92/84.05 apply (zenon_L143_); trivial. % 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1048_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1052_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1056_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1040_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1044_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1048_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1052_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1056_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1040_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1044_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1048_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1052_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1056_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1040_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1044_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1048_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1052_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1056_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.92/84.06 apply (zenon_L544_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.92/84.06 apply (zenon_L550_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.92/84.06 apply (zenon_L556_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.92/84.06 apply (zenon_L564_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.92/84.06 apply (zenon_L573_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.92/84.06 apply (zenon_L575_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.92/84.06 apply (zenon_L578_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.92/84.06 apply (zenon_L587_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.92/84.06 apply (zenon_L590_); trivial. % 83.92/84.06 apply (zenon_L615_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ]. % 83.92/84.06 apply (zenon_L631_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ]. % 83.92/84.06 apply (zenon_L637_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ]. % 83.92/84.06 apply (zenon_L650_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ]. % 83.92/84.06 apply (zenon_L651_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ]. % 83.92/84.06 apply (zenon_L678_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ]. % 83.92/84.06 apply (zenon_L721_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ]. % 83.92/84.06 apply (zenon_L769_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ]. % 83.92/84.06 apply (zenon_L836_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ]. % 83.92/84.06 apply (zenon_L837_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ]. % 83.92/84.06 apply (zenon_L877_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ]. % 83.92/84.06 apply (zenon_L888_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ]. % 83.92/84.06 apply (zenon_L943_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ]. % 83.92/84.06 apply (zenon_L965_); trivial. % 83.92/84.06 apply (zenon_L966_); trivial. % 83.92/84.06 apply (zenon_notand_s _ _ zenon_H826); [ zenon_intro zenon_H6d3 | zenon_intro zenon_H827 ]. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ]. % 83.92/84.06 apply (zenon_L37_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L89_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1058_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L89_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1059_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L89_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1060_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L89_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1061_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L89_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1062_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.92/84.06 apply (zenon_L509_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1058_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1059_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1060_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1061_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1062_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1058_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1059_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1060_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1061_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1062_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1058_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1059_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1060_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1061_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1062_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1058_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1059_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1060_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1061_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1062_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.92/84.06 apply (zenon_L544_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.92/84.06 apply (zenon_L550_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.92/84.06 apply (zenon_L556_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.92/84.06 apply (zenon_L564_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.92/84.06 apply (zenon_L573_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.92/84.06 apply (zenon_L575_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.92/84.06 apply (zenon_L578_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.92/84.06 apply (zenon_L587_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.92/84.06 apply (zenon_L590_); trivial. % 83.92/84.06 apply (zenon_L615_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ]. % 83.92/84.06 apply (zenon_L631_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ]. % 83.92/84.06 apply (zenon_L637_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ]. % 83.92/84.06 apply (zenon_L650_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ]. % 83.92/84.06 apply (zenon_L651_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ]. % 83.92/84.06 apply (zenon_L678_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ]. % 83.92/84.06 apply (zenon_L721_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ]. % 83.92/84.06 apply (zenon_L769_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ]. % 83.92/84.06 apply (zenon_L836_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ]. % 83.92/84.06 apply (zenon_L837_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ]. % 83.92/84.06 apply (zenon_L877_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ]. % 83.92/84.06 apply (zenon_L888_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ]. % 83.92/84.06 apply (zenon_L943_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ]. % 83.92/84.06 apply (zenon_L965_); trivial. % 83.92/84.06 apply (zenon_L966_); trivial. % 83.92/84.06 apply (zenon_notand_s _ _ zenon_H827); [ zenon_intro zenon_H6e4 | zenon_intro zenon_H828 ]. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ]. % 83.92/84.06 apply (zenon_L37_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L89_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1068_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L89_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1071_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L89_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1074_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L89_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1077_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L89_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1080_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.92/84.06 apply (zenon_L509_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1068_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1071_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1074_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1077_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1080_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1068_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1071_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1074_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1077_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1080_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1068_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1071_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1074_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1077_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1080_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1068_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1071_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1074_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1077_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1080_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.92/84.06 apply (zenon_L544_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.92/84.06 apply (zenon_L550_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.92/84.06 apply (zenon_L556_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.92/84.06 apply (zenon_L564_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.92/84.06 apply (zenon_L573_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.92/84.06 apply (zenon_L575_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.92/84.06 apply (zenon_L578_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.92/84.06 apply (zenon_L587_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.92/84.06 apply (zenon_L590_); trivial. % 83.92/84.06 apply (zenon_L615_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ]. % 83.92/84.06 apply (zenon_L631_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ]. % 83.92/84.06 apply (zenon_L637_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ]. % 83.92/84.06 apply (zenon_L650_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ]. % 83.92/84.06 apply (zenon_L651_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ]. % 83.92/84.06 apply (zenon_L678_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ]. % 83.92/84.06 apply (zenon_L721_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ]. % 83.92/84.06 apply (zenon_L769_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ]. % 83.92/84.06 apply (zenon_L836_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ]. % 83.92/84.06 apply (zenon_L837_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ]. % 83.92/84.06 apply (zenon_L877_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ]. % 83.92/84.06 apply (zenon_L888_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ]. % 83.92/84.06 apply (zenon_L943_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ]. % 83.92/84.06 apply (zenon_L965_); trivial. % 83.92/84.06 apply (zenon_L966_); trivial. % 83.92/84.06 apply (zenon_notand_s _ _ zenon_H828); [ zenon_intro zenon_H6f0 | zenon_intro zenon_H829 ]. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ]. % 83.92/84.06 apply (zenon_L37_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.92/84.06 apply (zenon_L43_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.92/84.06 apply (zenon_L81_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.92/84.06 apply (zenon_L1084_); trivial. % 83.92/84.06 apply (zenon_L36_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.92/84.06 apply (zenon_L46_); trivial. % 83.92/84.06 apply (zenon_L31_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.92/84.06 apply (zenon_L43_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.92/84.06 apply (zenon_L81_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.92/84.06 apply (zenon_L1085_); trivial. % 83.92/84.06 apply (zenon_L36_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.92/84.06 apply (zenon_L46_); trivial. % 83.92/84.06 apply (zenon_L31_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.92/84.06 apply (zenon_L43_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.92/84.06 apply (zenon_L81_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.92/84.06 apply (zenon_L1086_); trivial. % 83.92/84.06 apply (zenon_L36_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.92/84.06 apply (zenon_L46_); trivial. % 83.92/84.06 apply (zenon_L31_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.92/84.06 apply (zenon_L43_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.92/84.06 apply (zenon_L81_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.92/84.06 apply (zenon_L1087_); trivial. % 83.92/84.06 apply (zenon_L36_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.92/84.06 apply (zenon_L46_); trivial. % 83.92/84.06 apply (zenon_L31_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ]. % 83.92/84.06 apply (zenon_L43_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ]. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ]. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ]. % 83.92/84.06 apply (zenon_L81_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ]. % 83.92/84.06 apply (zenon_L1088_); trivial. % 83.92/84.06 apply (zenon_L36_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ]. % 83.92/84.06 apply (zenon_L46_); trivial. % 83.92/84.06 apply (zenon_L31_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ]. % 83.92/84.06 apply (zenon_L631_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ]. % 83.92/84.06 apply (zenon_L637_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ]. % 83.92/84.06 apply (zenon_L650_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ]. % 83.92/84.06 apply (zenon_L651_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ]. % 83.92/84.06 apply (zenon_L678_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ]. % 83.92/84.06 apply (zenon_L721_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ]. % 83.92/84.06 apply (zenon_L769_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ]. % 83.92/84.06 apply (zenon_L836_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ]. % 83.92/84.06 apply (zenon_L837_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ]. % 83.92/84.06 apply (zenon_L877_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ]. % 83.92/84.06 apply (zenon_L888_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ]. % 83.92/84.06 apply (zenon_L943_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ]. % 83.92/84.06 apply (zenon_L965_); trivial. % 83.92/84.06 apply (zenon_L966_); trivial. % 83.92/84.06 apply (zenon_notand_s _ _ zenon_H829); [ zenon_intro zenon_H6f6 | zenon_intro zenon_H82a ]. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ]. % 83.92/84.06 apply (zenon_L37_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_L1093_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_L1095_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_L1097_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_L1099_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L89_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1101_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ]. % 83.92/84.06 apply (zenon_L509_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_L1093_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_L1095_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_L1097_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_L1099_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L511_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1101_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_L1093_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_L1095_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_L1097_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_L1099_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L520_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1101_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_L1093_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_L1095_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_L1097_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_L1099_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L522_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1101_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ]. % 83.92/84.06 apply (zenon_L38_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ]. % 83.92/84.06 apply (zenon_L1093_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ]. % 83.92/84.06 apply (zenon_L150_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ]. % 83.92/84.06 apply (zenon_L1095_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ]. % 83.92/84.06 apply (zenon_L1097_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ]. % 83.92/84.06 apply (zenon_L1099_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ]. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ]. % 83.92/84.06 apply (zenon_L40_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ]. % 83.92/84.06 apply (zenon_L526_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ]. % 83.92/84.06 apply (zenon_L1101_); trivial. % 83.92/84.06 apply (zenon_L143_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ]. % 83.92/84.06 apply (zenon_L184_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ]. % 83.92/84.06 apply (zenon_L189_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ]. % 83.92/84.06 apply (zenon_L193_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ]. % 83.92/84.06 apply (zenon_L198_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ]. % 83.92/84.06 apply (zenon_L204_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ]. % 83.92/84.06 apply (zenon_L206_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ]. % 83.92/84.06 apply (zenon_L209_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ]. % 83.92/84.06 apply (zenon_L220_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ]. % 83.92/84.06 apply (zenon_L222_); trivial. % 83.92/84.06 apply (zenon_L227_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ]. % 83.92/84.06 apply (zenon_L231_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ]. % 83.92/84.06 apply (zenon_L239_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ]. % 83.92/84.06 apply (zenon_L248_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ]. % 83.92/84.06 apply (zenon_L249_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ]. % 83.92/84.06 apply (zenon_L258_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ]. % 83.92/84.06 apply (zenon_L267_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ]. % 83.92/84.06 apply (zenon_L316_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ]. % 83.92/84.06 apply (zenon_L395_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ]. % 83.92/84.06 apply (zenon_L396_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ]. % 83.92/84.06 apply (zenon_L431_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ]. % 83.92/84.06 apply (zenon_L438_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ]. % 83.92/84.06 apply (zenon_L489_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ]. % 83.92/84.06 apply (zenon_L505_); trivial. % 83.92/84.06 apply (zenon_L506_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ]. % 83.92/84.06 apply (zenon_L544_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ]. % 83.92/84.06 apply (zenon_L550_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ]. % 83.92/84.06 apply (zenon_L556_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ]. % 83.92/84.06 apply (zenon_L564_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ]. % 83.92/84.06 apply (zenon_L573_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ]. % 83.92/84.06 apply (zenon_L575_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ]. % 83.92/84.06 apply (zenon_L578_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ]. % 83.92/84.06 apply (zenon_L587_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ]. % 83.92/84.06 apply (zenon_L590_); trivial. % 83.92/84.06 apply (zenon_L615_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ]. % 83.92/84.06 apply (zenon_L631_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ]. % 83.92/84.06 apply (zenon_L637_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ]. % 83.92/84.06 apply (zenon_L650_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ]. % 83.92/84.06 apply (zenon_L651_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ]. % 83.92/84.06 apply (zenon_L678_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ]. % 83.92/84.06 apply (zenon_L721_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ]. % 83.92/84.06 apply (zenon_L769_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ]. % 83.92/84.06 apply (zenon_L836_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ]. % 83.92/84.06 apply (zenon_L837_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ]. % 83.92/84.06 apply (zenon_L877_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ]. % 83.92/84.06 apply (zenon_L888_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ]. % 83.92/84.06 apply (zenon_L943_); trivial. % 83.92/84.06 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ]. % 83.92/84.06 apply (zenon_L965_); trivial. % 83.92/84.06 apply (zenon_L966_); trivial. % 83.92/84.06 apply (zenon_notand_s _ _ zenon_H82a); [ zenon_intro zenon_H82c | zenon_intro zenon_H82b ]. % 83.92/84.06 apply (zenon_notor_s _ _ zenon_H82c). zenon_intro zenon_H72. zenon_intro zenon_H82d. % 83.92/84.06 exact (zenon_H72 zenon_H64). % 83.92/84.06 apply (zenon_notand_s _ _ zenon_H82b); [ zenon_intro zenon_H82f | zenon_intro zenon_H82e ]. % 83.92/84.06 apply (zenon_notor_s _ _ zenon_H82f). zenon_intro zenon_H831. zenon_intro zenon_H830. % 83.92/84.06 apply (zenon_notor_s _ _ zenon_H830). zenon_intro zenon_H1fc. zenon_intro zenon_H832. % 83.92/84.06 apply (zenon_L130_); trivial. % 83.92/84.06 apply (zenon_notand_s _ _ zenon_H82e); [ zenon_intro zenon_H834 | zenon_intro zenon_H833 ]. % 83.92/84.06 apply (zenon_notor_s _ _ zenon_H834). zenon_intro zenon_H836. zenon_intro zenon_H835. % 83.92/84.06 apply (zenon_notor_s _ _ zenon_H835). zenon_intro zenon_H838. zenon_intro zenon_H837. % 83.92/84.06 apply (zenon_notor_s _ _ zenon_H837). zenon_intro zenon_H68a. zenon_intro zenon_H839. % 83.92/84.06 apply (zenon_L978_); trivial. % 83.92/84.06 apply (zenon_notor_s _ _ zenon_H833). zenon_intro zenon_H83b. zenon_intro zenon_H83a. % 83.92/84.06 apply (zenon_notor_s _ _ zenon_H83a). zenon_intro zenon_H83d. zenon_intro zenon_H83c. % 83.92/84.06 apply (zenon_notor_s _ _ zenon_H83c). zenon_intro zenon_H83e. zenon_intro zenon_H5b. % 83.92/84.06 apply (zenon_L23_); trivial. % 83.92/84.06 Qed. % 83.92/84.06 % SZS output end Proof % 83.92/84.06 (* END-PROOF *) % 83.92/84.06 nodes searched: 2533464 % 83.92/84.06 max branch formulas: 2241 % 83.92/84.06 proof nodes created: 45533 % 83.92/84.06 formulas created: 1765836 % 83.92/84.06 %------------------------------------------------------------------------------