%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG081+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 18:29:10 EDT 2022 % Result : Theorem 267.73s 267.97s % Output : Proof 267.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ALG081+1 : TPTP v8.1.0. Released v2.7.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n021.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 : Tue Jun 7 22:55:36 EDT 2022 % 0.12/0.33 % CPUTime : % 267.73/267.97 (* PROOF-FOUND *) % 267.73/267.97 % SZS status Theorem % 267.73/267.97 (* BEGIN-PROOF *) % 267.73/267.97 % SZS output start Proof % 267.73/267.97 Theorem co1 : (((((h (e10)) = (e20))\/(((h (e10)) = (e21))\/(((h (e10)) = (e22))\/(((h (e10)) = (e23))\/((h (e10)) = (e24))))))/\((((h (e11)) = (e20))\/(((h (e11)) = (e21))\/(((h (e11)) = (e22))\/(((h (e11)) = (e23))\/((h (e11)) = (e24))))))/\((((h (e12)) = (e20))\/(((h (e12)) = (e21))\/(((h (e12)) = (e22))\/(((h (e12)) = (e23))\/((h (e12)) = (e24))))))/\((((h (e13)) = (e20))\/(((h (e13)) = (e21))\/(((h (e13)) = (e22))\/(((h (e13)) = (e23))\/((h (e13)) = (e24))))))/\((((h (e14)) = (e20))\/(((h (e14)) = (e21))\/(((h (e14)) = (e22))\/(((h (e14)) = (e23))\/((h (e14)) = (e24))))))/\((((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14))))))/\((((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14))))))/\((((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14))))))/\((((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14))))))/\(((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))))))))))))->(~(((h (op1 (e10) (e10))) = (op2 (h (e10)) (h (e10))))/\(((h (op1 (e10) (e11))) = (op2 (h (e10)) (h (e11))))/\(((h (op1 (e10) (e12))) = (op2 (h (e10)) (h (e12))))/\(((h (op1 (e10) (e13))) = (op2 (h (e10)) (h (e13))))/\(((h (op1 (e10) (e14))) = (op2 (h (e10)) (h (e14))))/\(((h (op1 (e11) (e10))) = (op2 (h (e11)) (h (e10))))/\(((h (op1 (e11) (e11))) = (op2 (h (e11)) (h (e11))))/\(((h (op1 (e11) (e12))) = (op2 (h (e11)) (h (e12))))/\(((h (op1 (e11) (e13))) = (op2 (h (e11)) (h (e13))))/\(((h (op1 (e11) (e14))) = (op2 (h (e11)) (h (e14))))/\(((h (op1 (e12) (e10))) = (op2 (h (e12)) (h (e10))))/\(((h (op1 (e12) (e11))) = (op2 (h (e12)) (h (e11))))/\(((h (op1 (e12) (e12))) = (op2 (h (e12)) (h (e12))))/\(((h (op1 (e12) (e13))) = (op2 (h (e12)) (h (e13))))/\(((h (op1 (e12) (e14))) = (op2 (h (e12)) (h (e14))))/\(((h (op1 (e13) (e10))) = (op2 (h (e13)) (h (e10))))/\(((h (op1 (e13) (e11))) = (op2 (h (e13)) (h (e11))))/\(((h (op1 (e13) (e12))) = (op2 (h (e13)) (h (e12))))/\(((h (op1 (e13) (e13))) = (op2 (h (e13)) (h (e13))))/\(((h (op1 (e13) (e14))) = (op2 (h (e13)) (h (e14))))/\(((h (op1 (e14) (e10))) = (op2 (h (e14)) (h (e10))))/\(((h (op1 (e14) (e11))) = (op2 (h (e14)) (h (e11))))/\(((h (op1 (e14) (e12))) = (op2 (h (e14)) (h (e12))))/\(((h (op1 (e14) (e13))) = (op2 (h (e14)) (h (e13))))/\(((h (op1 (e14) (e14))) = (op2 (h (e14)) (h (e14))))/\(((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20))))/\(((j (op2 (e20) (e21))) = (op1 (j (e20)) (j (e21))))/\(((j (op2 (e20) (e22))) = (op1 (j (e20)) (j (e22))))/\(((j (op2 (e20) (e23))) = (op1 (j (e20)) (j (e23))))/\(((j (op2 (e20) (e24))) = (op1 (j (e20)) (j (e24))))/\(((j (op2 (e21) (e20))) = (op1 (j (e21)) (j (e20))))/\(((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21))))/\(((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22))))/\(((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23))))/\(((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24))))/\(((j (op2 (e22) (e20))) = (op1 (j (e22)) (j (e20))))/\(((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21))))/\(((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22))))/\(((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23))))/\(((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24))))/\(((j (op2 (e23) (e20))) = (op1 (j (e23)) (j (e20))))/\(((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21))))/\(((j (op2 (e23) (e22))) = (op1 (j (e23)) (j (e22))))/\(((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23))))/\(((j (op2 (e23) (e24))) = (op1 (j (e23)) (j (e24))))/\(((j (op2 (e24) (e20))) = (op1 (j (e24)) (j (e20))))/\(((j (op2 (e24) (e21))) = (op1 (j (e24)) (j (e21))))/\(((j (op2 (e24) (e22))) = (op1 (j (e24)) (j (e22))))/\(((j (op2 (e24) (e23))) = (op1 (j (e24)) (j (e23))))/\(((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24))))/\(((h (j (e20))) = (e20))/\(((h (j (e21))) = (e21))/\(((h (j (e22))) = (e22))/\(((h (j (e23))) = (e23))/\(((h (j (e24))) = (e24))/\(((j (h (e10))) = (e10))/\(((j (h (e11))) = (e11))/\(((j (h (e12))) = (e12))/\(((j (h (e13))) = (e13))/\((j (h (e14))) = (e14))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 267.73/267.97 Proof. % 267.73/267.97 assert (zenon_L1_ : (~((j (h (e12))) = (j (e20)))) -> ((h (e12)) = (e20)) -> False). % 267.73/267.97 do 0 intro. intros zenon_H6 zenon_H7. % 267.73/267.97 cut (((h (e12)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 267.73/267.97 congruence. % 267.73/267.97 exact (zenon_H8 zenon_H7). % 267.73/267.97 (* end of lemma zenon_L1_ *) % 267.73/267.97 assert (zenon_L2_ : (~((e10) = (e10))) -> False). % 267.73/267.97 do 0 intro. intros zenon_H9. % 267.73/267.97 apply zenon_H9. apply refl_equal. % 267.73/267.97 (* end of lemma zenon_L2_ *) % 267.73/267.97 assert (zenon_L3_ : (~((e12) = (e12))) -> False). % 267.73/267.97 do 0 intro. intros zenon_Ha. % 267.73/267.97 apply zenon_Ha. apply refl_equal. % 267.73/267.97 (* end of lemma zenon_L3_ *) % 267.73/267.97 assert (zenon_L4_ : (~((e10) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> ((j (e20)) = (e10)) -> False). % 267.73/267.97 do 0 intro. intros zenon_Hb zenon_Hc zenon_H7 zenon_Hd. % 267.73/267.97 cut (((j (h (e12))) = (e12)) = ((e10) = (e12))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_Hb. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_Hc. % 267.73/267.97 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.97 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 267.73/267.97 congruence. % 267.73/267.97 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.73/267.97 cut (((e10) = (e10)) = ((j (h (e12))) = (e10))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_He. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_Hf. % 267.73/267.97 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.97 cut (((e10) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H10]. % 267.73/267.97 congruence. % 267.73/267.97 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.73/267.97 cut (((j (h (e12))) = (j (h (e12)))) = ((e10) = (j (h (e12))))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H10. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H11. % 267.73/267.97 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.73/267.97 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 267.73/267.97 congruence. % 267.73/267.97 cut (((j (e20)) = (e10)) = ((j (h (e12))) = (e10))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_He. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_Hd. % 267.73/267.97 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.97 cut (((j (e20)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 267.73/267.97 congruence. % 267.73/267.97 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.73/267.97 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e20)) = (j (h (e12))))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H13. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H11. % 267.73/267.97 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.73/267.97 cut (((j (h (e12))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 267.73/267.97 congruence. % 267.73/267.97 apply (zenon_L1_); trivial. % 267.73/267.97 apply zenon_H12. apply refl_equal. % 267.73/267.97 apply zenon_H12. apply refl_equal. % 267.73/267.97 apply zenon_H9. apply refl_equal. % 267.73/267.97 apply zenon_H12. apply refl_equal. % 267.73/267.97 apply zenon_H12. apply refl_equal. % 267.73/267.97 apply zenon_H9. apply refl_equal. % 267.73/267.97 apply zenon_H9. apply refl_equal. % 267.73/267.97 apply zenon_Ha. apply refl_equal. % 267.73/267.97 (* end of lemma zenon_L4_ *) % 267.73/267.97 assert (zenon_L5_ : (~((e11) = (e11))) -> False). % 267.73/267.97 do 0 intro. intros zenon_H14. % 267.73/267.97 apply zenon_H14. apply refl_equal. % 267.73/267.97 (* end of lemma zenon_L5_ *) % 267.73/267.97 assert (zenon_L6_ : (~((e11) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> ((j (e20)) = (e11)) -> False). % 267.73/267.97 do 0 intro. intros zenon_H15 zenon_Hc zenon_H7 zenon_H16. % 267.73/267.97 cut (((j (h (e12))) = (e12)) = ((e11) = (e12))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H15. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_Hc. % 267.73/267.97 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.97 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 267.73/267.97 congruence. % 267.73/267.97 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.73/267.97 cut (((e11) = (e11)) = ((j (h (e12))) = (e11))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H17. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H18. % 267.73/267.97 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.97 cut (((e11) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 267.73/267.97 congruence. % 267.73/267.97 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.73/267.97 cut (((j (h (e12))) = (j (h (e12)))) = ((e11) = (j (h (e12))))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H19. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H11. % 267.73/267.97 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.73/267.97 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 267.73/267.97 congruence. % 267.73/267.97 cut (((j (e20)) = (e11)) = ((j (h (e12))) = (e11))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H17. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H16. % 267.73/267.97 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.97 cut (((j (e20)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 267.73/267.97 congruence. % 267.73/267.97 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.73/267.97 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e20)) = (j (h (e12))))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H13. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H11. % 267.73/267.97 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.73/267.97 cut (((j (h (e12))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 267.73/267.97 congruence. % 267.73/267.97 apply (zenon_L1_); trivial. % 267.73/267.97 apply zenon_H12. apply refl_equal. % 267.73/267.97 apply zenon_H12. apply refl_equal. % 267.73/267.97 apply zenon_H14. apply refl_equal. % 267.73/267.97 apply zenon_H12. apply refl_equal. % 267.73/267.97 apply zenon_H12. apply refl_equal. % 267.73/267.97 apply zenon_H14. apply refl_equal. % 267.73/267.97 apply zenon_H14. apply refl_equal. % 267.73/267.97 apply zenon_Ha. apply refl_equal. % 267.73/267.97 (* end of lemma zenon_L6_ *) % 267.73/267.97 assert (zenon_L7_ : (~((j (h (e10))) = (j (e20)))) -> ((h (e10)) = (e20)) -> False). % 267.73/267.97 do 0 intro. intros zenon_H1a zenon_H1b. % 267.73/267.97 cut (((h (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 267.73/267.97 congruence. % 267.73/267.97 exact (zenon_H1c zenon_H1b). % 267.73/267.97 (* end of lemma zenon_L7_ *) % 267.73/267.97 assert (zenon_L8_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e20)) -> ((j (e20)) = (e12)) -> (~((e10) = (e12))) -> False). % 267.73/267.97 do 0 intro. intros zenon_H1d zenon_H1b zenon_H1e zenon_Hb. % 267.73/267.97 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.97 cut (((e12) = (e12)) = ((e10) = (e12))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_Hb. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H1f. % 267.73/267.97 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.97 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 267.73/267.97 congruence. % 267.73/267.97 cut (((j (h (e10))) = (e10)) = ((e12) = (e10))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H20. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H1d. % 267.73/267.97 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.97 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 267.73/267.97 congruence. % 267.73/267.97 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.97 cut (((e12) = (e12)) = ((j (h (e10))) = (e12))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H21. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H1f. % 267.73/267.97 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.97 cut (((e12) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 267.73/267.97 congruence. % 267.73/267.97 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.73/267.97 cut (((j (h (e10))) = (j (h (e10)))) = ((e12) = (j (h (e10))))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H22. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H23. % 267.73/267.97 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.73/267.97 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 267.73/267.97 congruence. % 267.73/267.97 cut (((j (e20)) = (e12)) = ((j (h (e10))) = (e12))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H21. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H1e. % 267.73/267.97 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.97 cut (((j (e20)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 267.73/267.97 congruence. % 267.73/267.97 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.73/267.97 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e20)) = (j (h (e10))))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H25. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H23. % 267.73/267.97 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.73/267.97 cut (((j (h (e10))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a]. % 267.73/267.97 congruence. % 267.73/267.97 apply (zenon_L7_); trivial. % 267.73/267.97 apply zenon_H24. apply refl_equal. % 267.73/267.97 apply zenon_H24. apply refl_equal. % 267.73/267.97 apply zenon_Ha. apply refl_equal. % 267.73/267.97 apply zenon_H24. apply refl_equal. % 267.73/267.97 apply zenon_H24. apply refl_equal. % 267.73/267.97 apply zenon_Ha. apply refl_equal. % 267.73/267.97 apply zenon_Ha. apply refl_equal. % 267.73/267.97 apply zenon_H9. apply refl_equal. % 267.73/267.97 apply zenon_Ha. apply refl_equal. % 267.73/267.97 apply zenon_Ha. apply refl_equal. % 267.73/267.97 (* end of lemma zenon_L8_ *) % 267.73/267.97 assert (zenon_L9_ : (~((e13) = (e13))) -> False). % 267.73/267.97 do 0 intro. intros zenon_H26. % 267.73/267.97 apply zenon_H26. apply refl_equal. % 267.73/267.97 (* end of lemma zenon_L9_ *) % 267.73/267.97 assert (zenon_L10_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e20)) -> ((j (e20)) = (e13)) -> (~((e10) = (e13))) -> False). % 267.73/267.97 do 0 intro. intros zenon_H1d zenon_H1b zenon_H27 zenon_H28. % 267.73/267.97 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.97 cut (((e13) = (e13)) = ((e10) = (e13))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H28. % 267.73/267.97 rewrite <- zenon_D_pnotp. % 267.73/267.97 exact zenon_H29. % 267.73/267.97 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.97 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 267.73/267.97 congruence. % 267.73/267.97 cut (((j (h (e10))) = (e10)) = ((e13) = (e10))). % 267.73/267.97 intro zenon_D_pnotp. % 267.73/267.97 apply zenon_H2a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1d. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((j (h (e10))) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H2b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.73/267.98 cut (((j (h (e10))) = (j (h (e10)))) = ((e13) = (j (h (e10))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H2c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H23. % 267.73/267.98 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.73/267.98 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e20)) = (e13)) = ((j (h (e10))) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H2b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H27. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (e20)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.73/267.98 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e20)) = (j (h (e10))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H25. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H23. % 267.73/267.98 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.73/267.98 cut (((j (h (e10))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L7_); trivial. % 267.73/267.98 apply zenon_H24. apply refl_equal. % 267.73/267.98 apply zenon_H24. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H24. apply refl_equal. % 267.73/267.98 apply zenon_H24. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L10_ *) % 267.73/267.98 assert (zenon_L11_ : (~((e14) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H2d. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L11_ *) % 267.73/267.98 assert (zenon_L12_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e20)) -> ((j (e20)) = (e14)) -> (~((e10) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H1d zenon_H1b zenon_H2e zenon_H2f. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((e10) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H2f. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (h (e10))) = (e10)) = ((e14) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H31. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1d. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((j (h (e10))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H32. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.73/267.98 cut (((j (h (e10))) = (j (h (e10)))) = ((e14) = (j (h (e10))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H33. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H23. % 267.73/267.98 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.73/267.98 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e20)) = (e14)) = ((j (h (e10))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H32. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H2e. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (e20)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.73/267.98 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e20)) = (j (h (e10))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H25. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H23. % 267.73/267.98 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.73/267.98 cut (((j (h (e10))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L7_); trivial. % 267.73/267.98 apply zenon_H24. apply refl_equal. % 267.73/267.98 apply zenon_H24. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H24. apply refl_equal. % 267.73/267.98 apply zenon_H24. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L12_ *) % 267.73/267.98 assert (zenon_L13_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> ((h (e12)) = (e20)) -> ((j (h (e12))) = (e12)) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e20)) -> (~((e10) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H34 zenon_H7 zenon_Hc zenon_H15 zenon_Hb zenon_H28 zenon_H1d zenon_H1b zenon_H2f. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 267.73/267.98 apply (zenon_L4_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 267.73/267.98 apply (zenon_L6_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 267.73/267.98 apply (zenon_L8_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 267.73/267.98 apply (zenon_L10_); trivial. % 267.73/267.98 apply (zenon_L12_); trivial. % 267.73/267.98 (* end of lemma zenon_L13_ *) % 267.73/267.98 assert (zenon_L14_ : (~((j (h (e13))) = (j (e20)))) -> ((h (e13)) = (e20)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H38 zenon_H39. % 267.73/267.98 cut (((h (e13)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_H3a zenon_H39). % 267.73/267.98 (* end of lemma zenon_L14_ *) % 267.73/267.98 assert (zenon_L15_ : (~((e10) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> ((j (e20)) = (e10)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H28 zenon_H3b zenon_H39 zenon_Hd. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e10) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H28. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.73/267.98 cut (((e10) = (e10)) = ((j (h (e13))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H3c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hf. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((e10) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e10) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H3d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e20)) = (e10)) = ((j (h (e13))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H3c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hd. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (e20)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e20)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H40. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L14_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L15_ *) % 267.73/267.98 assert (zenon_L16_ : (~((e11) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> ((j (e20)) = (e11)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H41 zenon_H3b zenon_H39 zenon_H16. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e11) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H41. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.73/267.98 cut (((e11) = (e11)) = ((j (h (e13))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H42. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H18. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((e11) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e11) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H43. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e20)) = (e11)) = ((j (h (e13))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H42. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H16. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((j (e20)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e20)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H40. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L14_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L16_ *) % 267.73/267.98 assert (zenon_L17_ : (~((e12) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> ((j (e20)) = (e12)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H44 zenon_H3b zenon_H39 zenon_H1e. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e12) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H44. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.98 cut (((e12) = (e12)) = ((j (h (e13))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H45. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1f. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((e12) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e12) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H46. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e20)) = (e12)) = ((j (h (e13))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H45. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1e. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (e20)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e20)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H40. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L14_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L17_ *) % 267.73/267.98 assert (zenon_L18_ : ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> ((j (e20)) = (e14)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H3b zenon_H39 zenon_H2e zenon_H47. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((e13) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H47. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e14) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H48. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((j (h (e13))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H49. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e14) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H4a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e20)) = (e14)) = ((j (h (e13))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H49. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H2e. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (e20)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e20)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H40. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L14_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L18_ *) % 267.73/267.98 assert (zenon_L19_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((h (e10)) = (e20)) -> ((j (h (e10))) = (e10)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H34 zenon_H41 zenon_H44 zenon_H28 zenon_H1b zenon_H1d zenon_H3b zenon_H39 zenon_H47. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 267.73/267.98 apply (zenon_L15_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 267.73/267.98 apply (zenon_L16_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 267.73/267.98 apply (zenon_L17_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 267.73/267.98 apply (zenon_L10_); trivial. % 267.73/267.98 apply (zenon_L18_); trivial. % 267.73/267.98 (* end of lemma zenon_L19_ *) % 267.73/267.98 assert (zenon_L20_ : (~((j (h (e13))) = (j (e21)))) -> ((h (e13)) = (e21)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H4b zenon_H4c. % 267.73/267.98 cut (((h (e13)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_H4d zenon_H4c). % 267.73/267.98 (* end of lemma zenon_L20_ *) % 267.73/267.98 assert (zenon_L21_ : (~((e10) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> ((j (e21)) = (e10)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H28 zenon_H3b zenon_H4c zenon_H4e. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e10) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H28. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.73/267.98 cut (((e10) = (e10)) = ((j (h (e13))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H3c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hf. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((e10) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e10) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H3d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e21)) = (e10)) = ((j (h (e13))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H3c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H4e. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (e21)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e21)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H4f. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L20_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L21_ *) % 267.73/267.98 assert (zenon_L22_ : (~((j (h (e12))) = (j (e21)))) -> ((h (e12)) = (e21)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H50 zenon_H51. % 267.73/267.98 cut (((h (e12)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_H52 zenon_H51). % 267.73/267.98 (* end of lemma zenon_L22_ *) % 267.73/267.98 assert (zenon_L23_ : (~((e11) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> ((j (e21)) = (e11)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H15 zenon_Hc zenon_H51 zenon_H53. % 267.73/267.98 cut (((j (h (e12))) = (e12)) = ((e11) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H15. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hc. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.73/267.98 cut (((e11) = (e11)) = ((j (h (e12))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H17. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H18. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((e11) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12)))) = ((e11) = (j (h (e12))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H19. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H11. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.73/267.98 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e21)) = (e11)) = ((j (h (e12))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H17. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H53. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((j (e21)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e21)) = (j (h (e12))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H54. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H11. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.73/267.98 cut (((j (h (e12))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L22_); trivial. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L23_ *) % 267.73/267.98 assert (zenon_L24_ : (~((e12) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> ((j (e21)) = (e12)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H44 zenon_H3b zenon_H4c zenon_H55. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e12) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H44. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.98 cut (((e12) = (e12)) = ((j (h (e13))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H45. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1f. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((e12) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e12) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H46. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e21)) = (e12)) = ((j (h (e13))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H45. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H55. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (e21)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e21)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H4f. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L20_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L24_ *) % 267.73/267.98 assert (zenon_L25_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e12) = (e13))) -> False). % 267.73/267.98 do 0 intro. intros zenon_Hc zenon_H51 zenon_H56 zenon_H44. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((e12) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H44. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (h (e12))) = (e12)) = ((e13) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H57. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hc. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((j (h (e12))) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H58. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12)))) = ((e13) = (j (h (e12))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H59. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H11. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.73/267.98 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e21)) = (e13)) = ((j (h (e12))) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H58. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H56. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (e21)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e21)) = (j (h (e12))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H54. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H11. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.73/267.98 cut (((j (h (e12))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L22_); trivial. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L25_ *) % 267.73/267.98 assert (zenon_L26_ : ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> ((j (e21)) = (e14)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H3b zenon_H4c zenon_H5a zenon_H47. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((e13) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H47. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e14) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H48. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((j (h (e13))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H49. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e14) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H4a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e21)) = (e14)) = ((j (h (e13))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H49. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H5a. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (e21)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e21)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H4f. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L20_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L26_ *) % 267.73/267.98 assert (zenon_L27_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> ((h (e12)) = (e21)) -> ((j (h (e12))) = (e12)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H5b zenon_H28 zenon_H15 zenon_H44 zenon_H51 zenon_Hc zenon_H3b zenon_H4c zenon_H47. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.73/267.98 apply (zenon_L21_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.73/267.98 apply (zenon_L23_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.73/267.98 apply (zenon_L24_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.73/267.98 apply (zenon_L25_); trivial. % 267.73/267.98 apply (zenon_L26_); trivial. % 267.73/267.98 (* end of lemma zenon_L27_ *) % 267.73/267.98 assert (zenon_L28_ : (~((e10) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> ((j (e21)) = (e10)) -> False). % 267.73/267.98 do 0 intro. intros zenon_Hb zenon_Hc zenon_H51 zenon_H4e. % 267.73/267.98 cut (((j (h (e12))) = (e12)) = ((e10) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hb. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hc. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.73/267.98 cut (((e10) = (e10)) = ((j (h (e12))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_He. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hf. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((e10) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H10]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12)))) = ((e10) = (j (h (e12))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H10. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H11. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.73/267.98 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e21)) = (e10)) = ((j (h (e12))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_He. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H4e. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (e21)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e21)) = (j (h (e12))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H54. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H11. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.73/267.98 cut (((j (h (e12))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L22_); trivial. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L28_ *) % 267.73/267.98 assert (zenon_L29_ : (~((j (h (e13))) = (j (e22)))) -> ((h (e13)) = (e22)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H5f zenon_H60. % 267.73/267.98 cut (((h (e13)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_H61 zenon_H60). % 267.73/267.98 (* end of lemma zenon_L29_ *) % 267.73/267.98 assert (zenon_L30_ : (~((e10) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> ((j (e22)) = (e10)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H28 zenon_H3b zenon_H60 zenon_H62. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e10) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H28. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.73/267.98 cut (((e10) = (e10)) = ((j (h (e13))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H3c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hf. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((e10) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e10) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H3d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e10)) = ((j (h (e13))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H3c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H62. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (e22)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e22)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H63. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L29_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L30_ *) % 267.73/267.98 assert (zenon_L31_ : (~((e11) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> ((j (e22)) = (e11)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H41 zenon_H3b zenon_H60 zenon_H64. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e11) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H41. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.73/267.98 cut (((e11) = (e11)) = ((j (h (e13))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H42. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H18. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((e11) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e11) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H43. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e11)) = ((j (h (e13))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H42. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H64. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((j (e22)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e22)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H63. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L29_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L31_ *) % 267.73/267.98 assert (zenon_L32_ : (~((e12) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> ((j (e22)) = (e12)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H44 zenon_H3b zenon_H60 zenon_H65. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e12) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H44. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.98 cut (((e12) = (e12)) = ((j (h (e13))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H45. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1f. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((e12) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e12) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H46. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e12)) = ((j (h (e13))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H45. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H65. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (e22)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e22)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H63. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L29_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L32_ *) % 267.73/267.98 assert (zenon_L33_ : (~((j (e22)) = (j (op2 (e21) (e21))))) -> ((op2 (e21) (e21)) = (e22)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H66 zenon_H67. % 267.73/267.98 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H68]. % 267.73/267.98 congruence. % 267.73/267.98 apply zenon_H68. apply sym_equal. exact zenon_H67. % 267.73/267.98 (* end of lemma zenon_L33_ *) % 267.73/267.98 assert (zenon_L34_ : (~((op1 (j (e21)) (j (e21))) = (op1 (e12) (e12)))) -> ((j (e21)) = (e12)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H69 zenon_H55. % 267.73/267.98 cut (((j (e21)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H6a]. % 267.73/267.98 cut (((j (e21)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H6a]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_H6a zenon_H55). % 267.73/267.98 exact (zenon_H6a zenon_H55). % 267.73/267.98 (* end of lemma zenon_L34_ *) % 267.73/267.98 assert (zenon_L35_ : (~((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))) -> ((op1 (e12) (e12)) = (e11)) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H6b zenon_H6c zenon_H55 zenon_H6d. % 267.73/267.98 cut (((op1 (e12) (e12)) = (e11)) = ((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H6b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H6c. % 267.73/267.98 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.73/267.98 cut (((op1 (e12) (e12)) = (op1 (j (e21)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H6f]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (j (e21)) (j (e21))) = (op1 (j (e21)) (j (e21))))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ]. % 267.73/267.98 cut (((op1 (j (e21)) (j (e21))) = (op1 (j (e21)) (j (e21)))) = ((op1 (e12) (e12)) = (op1 (j (e21)) (j (e21))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H6f. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H70. % 267.73/267.98 cut (((op1 (j (e21)) (j (e21))) = (op1 (j (e21)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 267.73/267.98 cut (((op1 (j (e21)) (j (e21))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L34_); trivial. % 267.73/267.98 apply zenon_H71. apply refl_equal. % 267.73/267.98 apply zenon_H71. apply refl_equal. % 267.73/267.98 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.73/267.98 (* end of lemma zenon_L35_ *) % 267.73/267.98 assert (zenon_L36_ : ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e12)) -> (~((op1 (e14) (e14)) = (j (e22)))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H72 zenon_H67 zenon_H6c zenon_H6d zenon_H55 zenon_H73. % 267.73/267.98 elim (classic ((j (e22)) = (j (e22)))); [ zenon_intro zenon_H74 | zenon_intro zenon_H75 ]. % 267.73/267.98 cut (((j (e22)) = (j (e22))) = ((op1 (e14) (e14)) = (j (e22)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H73. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H74. % 267.73/267.98 cut (((j (e22)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 267.73/267.98 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H76. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H72. % 267.73/267.98 cut (((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 267.73/267.98 cut (((j (op2 (e21) (e21))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (e22)) = (j (e22)))); [ zenon_intro zenon_H74 | zenon_intro zenon_H75 ]. % 267.73/267.98 cut (((j (e22)) = (j (e22))) = ((j (op2 (e21) (e21))) = (j (e22)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H77. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H74. % 267.73/267.98 cut (((j (e22)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 267.73/267.98 cut (((j (e22)) = (j (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L33_); trivial. % 267.73/267.98 apply zenon_H75. apply refl_equal. % 267.73/267.98 apply zenon_H75. apply refl_equal. % 267.73/267.98 apply (zenon_L35_); trivial. % 267.73/267.98 apply zenon_H75. apply refl_equal. % 267.73/267.98 apply zenon_H75. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L36_ *) % 267.73/267.98 assert (zenon_L37_ : ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H72 zenon_H55 zenon_H6d zenon_H6c zenon_H67 zenon_H78 zenon_H41. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H41. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H79. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H6d. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H7a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H7b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H7a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H78. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H76. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L36_); trivial. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L37_ *) % 267.73/267.98 assert (zenon_L38_ : ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> ((j (e22)) = (e14)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H3b zenon_H60 zenon_H7e zenon_H47. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((e13) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H47. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e14) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H48. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((j (h (e13))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H49. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e14) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H4a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e14)) = ((j (h (e13))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H49. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7e. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (e22)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e22)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H63. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L29_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L38_ *) % 267.73/267.98 assert (zenon_L39_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e12)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H7f zenon_H28 zenon_H44 zenon_H41 zenon_H67 zenon_H6c zenon_H6d zenon_H55 zenon_H72 zenon_H3b zenon_H60 zenon_H47. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.73/267.98 apply (zenon_L30_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.73/267.98 apply (zenon_L31_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.73/267.98 apply (zenon_L32_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.73/267.98 apply (zenon_L37_); trivial. % 267.73/267.98 apply (zenon_L38_); trivial. % 267.73/267.98 (* end of lemma zenon_L39_ *) % 267.73/267.98 assert (zenon_L40_ : (~((op1 (j (e21)) (j (e21))) = (op1 (e13) (e13)))) -> ((j (e21)) = (e13)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H83 zenon_H56. % 267.73/267.98 cut (((j (e21)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 267.73/267.98 cut (((j (e21)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_H84 zenon_H56). % 267.73/267.98 exact (zenon_H84 zenon_H56). % 267.73/267.98 (* end of lemma zenon_L40_ *) % 267.73/267.98 assert (zenon_L41_ : (~((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))) -> ((op1 (e13) (e13)) = (e11)) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H6b zenon_H85 zenon_H56 zenon_H6d. % 267.73/267.98 cut (((op1 (e13) (e13)) = (e11)) = ((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H6b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H85. % 267.73/267.98 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.73/267.98 cut (((op1 (e13) (e13)) = (op1 (j (e21)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (j (e21)) (j (e21))) = (op1 (j (e21)) (j (e21))))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ]. % 267.73/267.98 cut (((op1 (j (e21)) (j (e21))) = (op1 (j (e21)) (j (e21)))) = ((op1 (e13) (e13)) = (op1 (j (e21)) (j (e21))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H86. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H70. % 267.73/267.98 cut (((op1 (j (e21)) (j (e21))) = (op1 (j (e21)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 267.73/267.98 cut (((op1 (j (e21)) (j (e21))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L40_); trivial. % 267.73/267.98 apply zenon_H71. apply refl_equal. % 267.73/267.98 apply zenon_H71. apply refl_equal. % 267.73/267.98 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.73/267.98 (* end of lemma zenon_L41_ *) % 267.73/267.98 assert (zenon_L42_ : ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e13)) -> (~((op1 (e14) (e14)) = (j (e22)))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H72 zenon_H67 zenon_H85 zenon_H6d zenon_H56 zenon_H73. % 267.73/267.98 elim (classic ((j (e22)) = (j (e22)))); [ zenon_intro zenon_H74 | zenon_intro zenon_H75 ]. % 267.73/267.98 cut (((j (e22)) = (j (e22))) = ((op1 (e14) (e14)) = (j (e22)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H73. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H74. % 267.73/267.98 cut (((j (e22)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 267.73/267.98 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H76. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H72. % 267.73/267.98 cut (((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 267.73/267.98 cut (((j (op2 (e21) (e21))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (e22)) = (j (e22)))); [ zenon_intro zenon_H74 | zenon_intro zenon_H75 ]. % 267.73/267.98 cut (((j (e22)) = (j (e22))) = ((j (op2 (e21) (e21))) = (j (e22)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H77. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H74. % 267.73/267.98 cut (((j (e22)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 267.73/267.98 cut (((j (e22)) = (j (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L33_); trivial. % 267.73/267.98 apply zenon_H75. apply refl_equal. % 267.73/267.98 apply zenon_H75. apply refl_equal. % 267.73/267.98 apply (zenon_L41_); trivial. % 267.73/267.98 apply zenon_H75. apply refl_equal. % 267.73/267.98 apply zenon_H75. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L42_ *) % 267.73/267.98 assert (zenon_L43_ : (~((e10) = (e11))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e10)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H87 zenon_H72 zenon_H56 zenon_H6d zenon_H85 zenon_H67 zenon_H62. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e11)) = ((e10) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H87. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H6d. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.73/267.98 cut (((e10) = (e10)) = ((op1 (e14) (e14)) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H88. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hf. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e10) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H89. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e10)) = ((op1 (e14) (e14)) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H88. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H62. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H76. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L42_); trivial. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L43_ *) % 267.73/267.98 assert (zenon_L44_ : ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H72 zenon_H56 zenon_H6d zenon_H85 zenon_H67 zenon_H78 zenon_H41. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H41. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H79. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H6d. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H7a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H7b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H7a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H78. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H76. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L42_); trivial. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L44_ *) % 267.73/267.98 assert (zenon_L45_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e13)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H7f zenon_H87 zenon_H44 zenon_H41 zenon_H67 zenon_H85 zenon_H6d zenon_H56 zenon_H72 zenon_H3b zenon_H60 zenon_H47. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.73/267.98 apply (zenon_L43_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.73/267.98 apply (zenon_L31_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.73/267.98 apply (zenon_L32_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.73/267.98 apply (zenon_L44_); trivial. % 267.73/267.98 apply (zenon_L38_); trivial. % 267.73/267.98 (* end of lemma zenon_L45_ *) % 267.73/267.98 assert (zenon_L46_ : (~((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))) -> ((j (e21)) = (e14)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H6b zenon_H5a. % 267.73/267.98 cut (((j (e21)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 267.73/267.98 cut (((j (e21)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_H8a zenon_H5a). % 267.73/267.98 exact (zenon_H8a zenon_H5a). % 267.73/267.98 (* end of lemma zenon_L46_ *) % 267.73/267.98 assert (zenon_L47_ : ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e21)) = (e14)) -> (~((op1 (e14) (e14)) = (j (e22)))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H72 zenon_H67 zenon_H5a zenon_H73. % 267.73/267.98 elim (classic ((j (e22)) = (j (e22)))); [ zenon_intro zenon_H74 | zenon_intro zenon_H75 ]. % 267.73/267.98 cut (((j (e22)) = (j (e22))) = ((op1 (e14) (e14)) = (j (e22)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H73. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H74. % 267.73/267.98 cut (((j (e22)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 267.73/267.98 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H76. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H72. % 267.73/267.98 cut (((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 267.73/267.98 cut (((j (op2 (e21) (e21))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (e22)) = (j (e22)))); [ zenon_intro zenon_H74 | zenon_intro zenon_H75 ]. % 267.73/267.98 cut (((j (e22)) = (j (e22))) = ((j (op2 (e21) (e21))) = (j (e22)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H77. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H74. % 267.73/267.98 cut (((j (e22)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 267.73/267.98 cut (((j (e22)) = (j (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L33_); trivial. % 267.73/267.98 apply zenon_H75. apply refl_equal. % 267.73/267.98 apply zenon_H75. apply refl_equal. % 267.73/267.98 apply (zenon_L46_); trivial. % 267.73/267.98 apply zenon_H75. apply refl_equal. % 267.73/267.98 apply zenon_H75. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L47_ *) % 267.73/267.98 assert (zenon_L48_ : ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H6d zenon_H72 zenon_H5a zenon_H67 zenon_H65 zenon_H15. % 267.73/267.98 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.98 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H15. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1f. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H8b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H6d. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.98 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H8c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1f. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H8d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H8c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H65. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H76. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L47_); trivial. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L48_ *) % 267.73/267.98 assert (zenon_L49_ : ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H6d zenon_H72 zenon_H5a zenon_H67 zenon_H78 zenon_H41. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H41. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H79. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H6d. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H7a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H7b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H7a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H78. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H76. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L47_); trivial. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L49_ *) % 267.73/267.98 assert (zenon_L50_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e21)) = (e14)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H7f zenon_H28 zenon_H15 zenon_H41 zenon_H67 zenon_H5a zenon_H72 zenon_H6d zenon_H3b zenon_H60 zenon_H47. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.73/267.98 apply (zenon_L30_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.73/267.98 apply (zenon_L31_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.73/267.98 apply (zenon_L48_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.73/267.98 apply (zenon_L49_); trivial. % 267.73/267.98 apply (zenon_L38_); trivial. % 267.73/267.98 (* end of lemma zenon_L50_ *) % 267.73/267.98 assert (zenon_L51_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e12))) -> ((h (e12)) = (e21)) -> ((j (h (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> (~((e12) = (e13))) -> (~((e10) = (e11))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H5b zenon_Hb zenon_H51 zenon_Hc zenon_H6c zenon_H85 zenon_H44 zenon_H87 zenon_H7f zenon_H28 zenon_H15 zenon_H41 zenon_H67 zenon_H72 zenon_H6d zenon_H3b zenon_H60 zenon_H47. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.73/267.98 apply (zenon_L28_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.73/267.98 apply (zenon_L23_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.73/267.98 apply (zenon_L39_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.73/267.98 apply (zenon_L45_); trivial. % 267.73/267.98 apply (zenon_L50_); trivial. % 267.73/267.98 (* end of lemma zenon_L51_ *) % 267.73/267.98 assert (zenon_L52_ : (~((j (h (e14))) = (j (e20)))) -> ((h (e14)) = (e20)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H8e zenon_H8f. % 267.73/267.98 cut (((h (e14)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_H90 zenon_H8f). % 267.73/267.98 (* end of lemma zenon_L52_ *) % 267.73/267.98 assert (zenon_L53_ : (~((e10) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e20)) -> ((j (e20)) = (e10)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H2f zenon_H91 zenon_H8f zenon_Hd. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e10) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H2f. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.73/267.98 cut (((e10) = (e10)) = ((j (h (e14))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H92. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hf. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((e10) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e10) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H93. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e20)) = (e10)) = ((j (h (e14))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H92. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hd. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (e20)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e20)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H96. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L52_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L53_ *) % 267.73/267.98 assert (zenon_L54_ : (~((e11) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e20)) -> ((j (e20)) = (e11)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H97 zenon_H91 zenon_H8f zenon_H16. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e11) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H97. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.73/267.98 cut (((e11) = (e11)) = ((j (h (e14))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H98. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H18. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((e11) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e11) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H99. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e20)) = (e11)) = ((j (h (e14))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H98. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H16. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((j (e20)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e20)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H96. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L52_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L54_ *) % 267.73/267.98 assert (zenon_L55_ : (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e20)) -> ((j (e20)) = (e12)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H9a zenon_H91 zenon_H8f zenon_H1e. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e12) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.98 cut (((e12) = (e12)) = ((j (h (e14))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1f. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((e12) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e12) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e20)) = (e12)) = ((j (h (e14))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1e. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (e20)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e20)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H96. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L52_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L55_ *) % 267.73/267.98 assert (zenon_L56_ : (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e20)) -> ((j (e20)) = (e13)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H47 zenon_H91 zenon_H8f zenon_H27. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e13) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H47. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((j (h (e14))) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e13) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9e. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e20)) = (e13)) = ((j (h (e14))) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H27. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (e20)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e20)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H96. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L52_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L56_ *) % 267.73/267.98 assert (zenon_L57_ : (~((j (h (e11))) = (j (e20)))) -> ((h (e11)) = (e20)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H9f zenon_Ha0. % 267.73/267.98 cut (((h (e11)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_Ha1 zenon_Ha0). % 267.73/267.98 (* end of lemma zenon_L57_ *) % 267.73/267.98 assert (zenon_L58_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e20)) -> ((j (e20)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_Ha2 zenon_Ha0 zenon_H2e zenon_H97. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H97. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (h (e11))) = (e11)) = ((e14) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Ha3. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Ha2. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((j (h (e11))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Ha4. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.73/267.98 cut (((j (h (e11))) = (j (h (e11)))) = ((e14) = (j (h (e11))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Ha5. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Ha6. % 267.73/267.98 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.73/267.98 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e20)) = (e14)) = ((j (h (e11))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Ha4. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H2e. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (e20)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.73/267.98 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e20)) = (j (h (e11))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Ha8. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Ha6. % 267.73/267.98 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.73/267.98 cut (((j (h (e11))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L57_); trivial. % 267.73/267.98 apply zenon_Ha7. apply refl_equal. % 267.73/267.98 apply zenon_Ha7. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_Ha7. apply refl_equal. % 267.73/267.98 apply zenon_Ha7. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L58_ *) % 267.73/267.98 assert (zenon_L59_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e20)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e20)) -> (~((e11) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H34 zenon_H2f zenon_H9a zenon_H8f zenon_H91 zenon_H47 zenon_Ha2 zenon_Ha0 zenon_H97. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 267.73/267.98 apply (zenon_L53_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 267.73/267.98 apply (zenon_L54_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 267.73/267.98 apply (zenon_L55_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 267.73/267.98 apply (zenon_L56_); trivial. % 267.73/267.98 apply (zenon_L58_); trivial. % 267.73/267.98 (* end of lemma zenon_L59_ *) % 267.73/267.98 assert (zenon_L60_ : (~((j (h (e14))) = (j (e21)))) -> ((h (e14)) = (e21)) -> False). % 267.73/267.98 do 0 intro. intros zenon_Ha9 zenon_Haa. % 267.73/267.98 cut (((h (e14)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_Hab zenon_Haa). % 267.73/267.98 (* end of lemma zenon_L60_ *) % 267.73/267.98 assert (zenon_L61_ : (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e21)) -> ((j (e21)) = (e12)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H9a zenon_H91 zenon_Haa zenon_H55. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e12) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.98 cut (((e12) = (e12)) = ((j (h (e14))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1f. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((e12) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e12) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e21)) = (e12)) = ((j (h (e14))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H55. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (e21)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hac]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e21)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hac. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L60_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L61_ *) % 267.73/267.98 assert (zenon_L62_ : (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e21)) -> ((j (e21)) = (e13)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H47 zenon_H91 zenon_Haa zenon_H56. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e13) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H47. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((j (h (e14))) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e13) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9e. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e21)) = (e13)) = ((j (h (e14))) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H56. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (e21)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hac]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e21)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hac. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L60_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L62_ *) % 267.73/267.98 assert (zenon_L63_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> ((j (e21)) = (e14)) -> (~((e12) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_Hc zenon_H51 zenon_H5a zenon_H9a. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((e12) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (h (e12))) = (e12)) = ((e14) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Had. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hc. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((j (h (e12))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hae. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12)))) = ((e14) = (j (h (e12))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Haf. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H11. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.73/267.98 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e21)) = (e14)) = ((j (h (e12))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hae. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H5a. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (e21)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e21)) = (j (h (e12))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H54. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H11. % 267.73/267.98 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.73/267.98 cut (((j (h (e12))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L22_); trivial. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H12. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L63_ *) % 267.73/267.98 assert (zenon_L64_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> ((h (e14)) = (e21)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H5b zenon_Hb zenon_H15 zenon_Haa zenon_H91 zenon_H47 zenon_Hc zenon_H51 zenon_H9a. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.73/267.98 apply (zenon_L28_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.73/267.98 apply (zenon_L23_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.73/267.98 apply (zenon_L61_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.73/267.98 apply (zenon_L62_); trivial. % 267.73/267.98 apply (zenon_L63_); trivial. % 267.73/267.98 (* end of lemma zenon_L64_ *) % 267.73/267.98 assert (zenon_L65_ : (~((j (h (e14))) = (j (e22)))) -> ((h (e14)) = (e22)) -> False). % 267.73/267.98 do 0 intro. intros zenon_Hb0 zenon_Hb1. % 267.73/267.98 cut (((h (e14)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_Hb2 zenon_Hb1). % 267.73/267.98 (* end of lemma zenon_L65_ *) % 267.73/267.98 assert (zenon_L66_ : (~((e10) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e22)) -> ((j (e22)) = (e10)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H2f zenon_H91 zenon_Hb1 zenon_H62. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e10) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H2f. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.73/267.98 cut (((e10) = (e10)) = ((j (h (e14))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H92. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hf. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((e10) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e10) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H93. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e10)) = ((j (h (e14))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H92. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H62. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (e22)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hb3]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e22)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hb3. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L65_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L66_ *) % 267.73/267.98 assert (zenon_L67_ : (~((e11) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e22)) -> ((j (e22)) = (e11)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H97 zenon_H91 zenon_Hb1 zenon_H64. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e11) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H97. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.73/267.98 cut (((e11) = (e11)) = ((j (h (e14))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H98. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H18. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((e11) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e11) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H99. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e11)) = ((j (h (e14))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H98. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H64. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((j (e22)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hb3]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e22)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hb3. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L65_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L67_ *) % 267.73/267.98 assert (zenon_L68_ : (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e22)) -> ((j (e22)) = (e12)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H9a zenon_H91 zenon_Hb1 zenon_H65. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e12) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.98 cut (((e12) = (e12)) = ((j (h (e14))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1f. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((e12) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e12) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e12)) = ((j (h (e14))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H65. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (e22)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hb3]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e22)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hb3. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L65_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L68_ *) % 267.73/267.98 assert (zenon_L69_ : (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e22)) -> ((j (e22)) = (e13)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H47 zenon_H91 zenon_Hb1 zenon_H78. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e13) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H47. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((j (h (e14))) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e13) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9e. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e13)) = ((j (h (e14))) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H78. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (e22)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hb3]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e22)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hb3. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L65_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L69_ *) % 267.73/267.98 assert (zenon_L70_ : (~((j (h (e13))) = (j (e23)))) -> ((h (e13)) = (e23)) -> False). % 267.73/267.98 do 0 intro. intros zenon_Hb4 zenon_Hb5. % 267.73/267.98 cut (((h (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_Hb6 zenon_Hb5). % 267.73/267.98 (* end of lemma zenon_L70_ *) % 267.73/267.98 assert (zenon_L71_ : (~((e10) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> ((j (e23)) = (e10)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H28 zenon_H3b zenon_Hb5 zenon_Hb7. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e10) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H28. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.73/267.98 cut (((e10) = (e10)) = ((j (h (e13))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H3c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hf. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((e10) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e10) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H3d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e23)) = (e10)) = ((j (h (e13))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H3c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hb7. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (e23)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e23)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hb8. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L70_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L71_ *) % 267.73/267.98 assert (zenon_L72_ : (~((e11) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> ((j (e23)) = (e11)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H41 zenon_H3b zenon_Hb5 zenon_Hb9. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e11) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H41. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.73/267.98 cut (((e11) = (e11)) = ((j (h (e13))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H42. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H18. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((e11) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e11) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H43. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e23)) = (e11)) = ((j (h (e13))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H42. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hb9. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((j (e23)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e23)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hb8. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L70_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L72_ *) % 267.73/267.98 assert (zenon_L73_ : (~((j (e23)) = (j (op2 (e22) (e22))))) -> ((op2 (e22) (e22)) = (e23)) -> False). % 267.73/267.98 do 0 intro. intros zenon_Hba zenon_Hbb. % 267.73/267.98 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 267.73/267.98 congruence. % 267.73/267.98 apply zenon_Hbc. apply sym_equal. exact zenon_Hbb. % 267.73/267.98 (* end of lemma zenon_L73_ *) % 267.73/267.98 assert (zenon_L74_ : (~((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))) -> ((j (e22)) = (e14)) -> False). % 267.73/267.98 do 0 intro. intros zenon_Hbd zenon_H7e. % 267.73/267.98 cut (((j (e22)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 267.73/267.98 cut (((j (e22)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_Hbe zenon_H7e). % 267.73/267.98 exact (zenon_Hbe zenon_H7e). % 267.73/267.98 (* end of lemma zenon_L74_ *) % 267.73/267.98 assert (zenon_L75_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((j (e22)) = (e14)) -> (~((op1 (e14) (e14)) = (j (e23)))) -> False). % 267.73/267.98 do 0 intro. intros zenon_Hbf zenon_Hbb zenon_H7e zenon_Hc0. % 267.73/267.98 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc2 ]. % 267.73/267.98 cut (((j (e23)) = (j (e23))) = ((op1 (e14) (e14)) = (j (e23)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hc0. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hc1. % 267.73/267.98 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 267.73/267.98 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hc3. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hbf. % 267.73/267.98 cut (((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hbd]. % 267.73/267.98 cut (((j (op2 (e22) (e22))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc2 ]. % 267.73/267.98 cut (((j (e23)) = (j (e23))) = ((j (op2 (e22) (e22))) = (j (e23)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hc4. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hc1. % 267.73/267.98 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 267.73/267.98 cut (((j (e23)) = (j (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L73_); trivial. % 267.73/267.98 apply zenon_Hc2. apply refl_equal. % 267.73/267.98 apply zenon_Hc2. apply refl_equal. % 267.73/267.98 apply (zenon_L74_); trivial. % 267.73/267.98 apply zenon_Hc2. apply refl_equal. % 267.73/267.98 apply zenon_Hc2. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L75_ *) % 267.73/267.98 assert (zenon_L76_ : ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e14)) -> ((op2 (e22) (e22)) = (e23)) -> ((j (e23)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H6d zenon_Hbf zenon_H7e zenon_Hbb zenon_Hc5 zenon_H15. % 267.73/267.98 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.98 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H15. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1f. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H8b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H6d. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.98 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H8c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1f. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H8d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e23)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H8c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hc5. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hc3. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L75_); trivial. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L76_ *) % 267.73/267.98 assert (zenon_L77_ : ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e14)) -> ((op2 (e22) (e22)) = (e23)) -> ((j (e23)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H6d zenon_Hbf zenon_H7e zenon_Hbb zenon_Hc6 zenon_H41. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H41. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H79. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H6d. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H7a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H7b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e23)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H7a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hc6. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hc3. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L75_); trivial. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L77_ *) % 267.73/267.98 assert (zenon_L78_ : ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H3b zenon_Hb5 zenon_Hc7 zenon_H47. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((e13) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H47. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (h (e13))) = (e13)) = ((e14) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H48. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3b. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.98 cut (((e14) = (e14)) = ((j (h (e13))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H49. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H30. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((e14) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((e14) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H4a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e23)) = (e14)) = ((j (h (e13))) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H49. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hc7. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (e23)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e23)) = (j (h (e13))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hb8. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H3e. % 267.73/267.98 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.98 cut (((j (h (e13))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L70_); trivial. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H3f. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L78_ *) % 267.73/267.98 assert (zenon_L79_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op2 (e22) (e22)) = (e23)) -> ((j (e22)) = (e14)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_Hc8 zenon_H28 zenon_H15 zenon_H41 zenon_Hbb zenon_H7e zenon_Hbf zenon_H6d zenon_H3b zenon_Hb5 zenon_H47. % 267.73/267.98 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.73/267.98 apply (zenon_L71_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.73/267.98 apply (zenon_L72_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.73/267.98 apply (zenon_L76_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.73/267.98 apply (zenon_L77_); trivial. % 267.73/267.98 apply (zenon_L78_); trivial. % 267.73/267.98 (* end of lemma zenon_L79_ *) % 267.73/267.98 assert (zenon_L80_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op2 (e22) (e22)) = (e23)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_H7f zenon_H2f zenon_H97 zenon_H9a zenon_Hb1 zenon_H91 zenon_Hc8 zenon_H28 zenon_H15 zenon_H41 zenon_Hbb zenon_Hbf zenon_H6d zenon_H3b zenon_Hb5 zenon_H47. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.73/267.98 apply (zenon_L66_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.73/267.98 apply (zenon_L67_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.73/267.98 apply (zenon_L68_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.73/267.98 apply (zenon_L69_); trivial. % 267.73/267.98 apply (zenon_L79_); trivial. % 267.73/267.98 (* end of lemma zenon_L80_ *) % 267.73/267.98 assert (zenon_L81_ : (~((j (h (e14))) = (j (e23)))) -> ((h (e14)) = (e23)) -> False). % 267.73/267.98 do 0 intro. intros zenon_Hcc zenon_Hcd. % 267.73/267.98 cut (((h (e14)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hce]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_Hce zenon_Hcd). % 267.73/267.98 (* end of lemma zenon_L81_ *) % 267.73/267.98 assert (zenon_L82_ : (~((e10) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> ((j (e23)) = (e10)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H2f zenon_H91 zenon_Hcd zenon_Hb7. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e10) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H2f. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.73/267.98 cut (((e10) = (e10)) = ((j (h (e14))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H92. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hf. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((e10) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e10) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H93. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e23)) = (e10)) = ((j (h (e14))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H92. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hb7. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (e23)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e23)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hcf. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcc]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L81_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L82_ *) % 267.73/267.98 assert (zenon_L83_ : (~((e11) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> ((j (e23)) = (e11)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H97 zenon_H91 zenon_Hcd zenon_Hb9. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e11) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H97. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.73/267.98 cut (((e11) = (e11)) = ((j (h (e14))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H98. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H18. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((e11) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e11) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H99. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e23)) = (e11)) = ((j (h (e14))) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H98. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hb9. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((j (e23)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e23)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hcf. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcc]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L81_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L83_ *) % 267.73/267.98 assert (zenon_L84_ : (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> ((j (e23)) = (e12)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H9a zenon_H91 zenon_Hcd zenon_Hc5. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e12) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9a. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.98 cut (((e12) = (e12)) = ((j (h (e14))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H1f. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((e12) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e12) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9c. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e23)) = (e12)) = ((j (h (e14))) = (e12))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9b. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hc5. % 267.73/267.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.98 cut (((j (e23)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e23)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hcf. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcc]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L81_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_Ha. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L84_ *) % 267.73/267.98 assert (zenon_L85_ : (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> ((j (e23)) = (e13)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H47 zenon_H91 zenon_Hcd zenon_Hc6. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e13) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H47. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.98 cut (((e13) = (e13)) = ((j (h (e14))) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H29. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((e13) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e13) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9e. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e23)) = (e13)) = ((j (h (e14))) = (e13))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H9d. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hc6. % 267.73/267.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.98 cut (((j (e23)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e23)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hcf. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcc]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L81_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H26. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L85_ *) % 267.73/267.98 assert (zenon_L86_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (~((e13) = (e14))) -> False). % 267.73/267.98 do 0 intro. intros zenon_Hc8 zenon_H2f zenon_H97 zenon_H9a zenon_Hcd zenon_H91 zenon_H3b zenon_Hb5 zenon_H47. % 267.73/267.98 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.73/267.98 apply (zenon_L82_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.73/267.98 apply (zenon_L83_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.73/267.98 apply (zenon_L84_); trivial. % 267.73/267.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.73/267.98 apply (zenon_L85_); trivial. % 267.73/267.98 apply (zenon_L78_); trivial. % 267.73/267.98 (* end of lemma zenon_L86_ *) % 267.73/267.98 assert (zenon_L87_ : (~((e10) = (e11))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e10)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H87 zenon_H72 zenon_H55 zenon_H6d zenon_H6c zenon_H67 zenon_H62. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e11)) = ((e10) = (e11))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H87. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H6d. % 267.73/267.98 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.73/267.98 cut (((e10) = (e10)) = ((op1 (e14) (e14)) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H88. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hf. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e10) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H89. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e22)) = (e10)) = ((op1 (e14) (e14)) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H88. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H62. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H76. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H7c. % 267.73/267.98 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.98 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L36_); trivial. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H7d. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H14. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L87_ *) % 267.73/267.98 assert (zenon_L88_ : (~((j (h (e14))) = (j (e24)))) -> ((h (e14)) = (e24)) -> False). % 267.73/267.98 do 0 intro. intros zenon_Hd0 zenon_Hd1. % 267.73/267.98 cut (((h (e14)) = (e24))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 267.73/267.98 congruence. % 267.73/267.98 exact (zenon_Hd2 zenon_Hd1). % 267.73/267.98 (* end of lemma zenon_L88_ *) % 267.73/267.98 assert (zenon_L89_ : (~((e10) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> ((j (e24)) = (e10)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H2f zenon_H91 zenon_Hd1 zenon_Hd3. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e10) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H2f. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.73/267.98 cut (((e10) = (e10)) = ((j (h (e14))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H92. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hf. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((e10) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((e10) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H93. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 267.73/267.98 congruence. % 267.73/267.98 cut (((j (e24)) = (e10)) = ((j (h (e14))) = (e10))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H92. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_Hd3. % 267.73/267.98 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.73/267.98 cut (((j (e24)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e24)) = (j (h (e14))))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_Hd4. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H94. % 267.73/267.98 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.98 cut (((j (h (e14))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 267.73/267.98 congruence. % 267.73/267.98 apply (zenon_L88_); trivial. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H95. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H9. apply refl_equal. % 267.73/267.98 apply zenon_H2d. apply refl_equal. % 267.73/267.98 (* end of lemma zenon_L89_ *) % 267.73/267.98 assert (zenon_L90_ : (~((e11) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> ((j (e24)) = (e11)) -> False). % 267.73/267.98 do 0 intro. intros zenon_H97 zenon_H91 zenon_Hd1 zenon_Hd5. % 267.73/267.98 cut (((j (h (e14))) = (e14)) = ((e11) = (e14))). % 267.73/267.98 intro zenon_D_pnotp. % 267.73/267.98 apply zenon_H97. % 267.73/267.98 rewrite <- zenon_D_pnotp. % 267.73/267.98 exact zenon_H91. % 267.73/267.98 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.98 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 267.73/267.98 congruence. % 267.73/267.98 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.73/267.98 cut (((e11) = (e11)) = ((j (h (e14))) = (e11))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H98. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H18. % 267.73/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.99 cut (((e11) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.99 cut (((j (h (e14))) = (j (h (e14)))) = ((e11) = (j (h (e14))))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H99. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H94. % 267.73/267.99 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.99 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((j (e24)) = (e11)) = ((j (h (e14))) = (e11))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H98. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_Hd5. % 267.73/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.99 cut (((j (e24)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.73/267.99 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e24)) = (j (h (e14))))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hd4. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H94. % 267.73/267.99 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.73/267.99 cut (((j (h (e14))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 267.73/267.99 congruence. % 267.73/267.99 apply (zenon_L88_); trivial. % 267.73/267.99 apply zenon_H95. apply refl_equal. % 267.73/267.99 apply zenon_H95. apply refl_equal. % 267.73/267.99 apply zenon_H14. apply refl_equal. % 267.73/267.99 apply zenon_H95. apply refl_equal. % 267.73/267.99 apply zenon_H95. apply refl_equal. % 267.73/267.99 apply zenon_H14. apply refl_equal. % 267.73/267.99 apply zenon_H14. apply refl_equal. % 267.73/267.99 apply zenon_H2d. apply refl_equal. % 267.73/267.99 (* end of lemma zenon_L90_ *) % 267.73/267.99 assert (zenon_L91_ : (~((op1 (j (e22)) (j (e23))) = (op1 (e11) (e10)))) -> ((j (e23)) = (e10)) -> ((j (e22)) = (e11)) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hd6 zenon_Hb7 zenon_H64. % 267.73/267.99 cut (((j (e23)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 267.73/267.99 cut (((j (e22)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 267.73/267.99 congruence. % 267.73/267.99 exact (zenon_Hd8 zenon_H64). % 267.73/267.99 exact (zenon_Hd7 zenon_Hb7). % 267.73/267.99 (* end of lemma zenon_L91_ *) % 267.73/267.99 assert (zenon_L92_ : (~((op1 (j (e22)) (j (e23))) = (op1 (e14) (e14)))) -> ((op1 (e11) (e10)) = (e11)) -> ((j (e22)) = (e11)) -> ((j (e23)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hd9 zenon_Hda zenon_H64 zenon_Hb7 zenon_H6d. % 267.73/267.99 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (j (e22)) (j (e23))) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hd9. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_Hda. % 267.73/267.99 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.73/267.99 cut (((op1 (e11) (e10)) = (op1 (j (e22)) (j (e23))))); [idtac | apply NNPP; zenon_intro zenon_Hdb]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (j (e22)) (j (e23))) = (op1 (j (e22)) (j (e23))))); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdd ]. % 267.73/267.99 cut (((op1 (j (e22)) (j (e23))) = (op1 (j (e22)) (j (e23)))) = ((op1 (e11) (e10)) = (op1 (j (e22)) (j (e23))))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hdb. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_Hdc. % 267.73/267.99 cut (((op1 (j (e22)) (j (e23))) = (op1 (j (e22)) (j (e23))))); [idtac | apply NNPP; zenon_intro zenon_Hdd]. % 267.73/267.99 cut (((op1 (j (e22)) (j (e23))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 267.73/267.99 congruence. % 267.73/267.99 apply (zenon_L91_); trivial. % 267.73/267.99 apply zenon_Hdd. apply refl_equal. % 267.73/267.99 apply zenon_Hdd. apply refl_equal. % 267.73/267.99 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.73/267.99 (* end of lemma zenon_L92_ *) % 267.73/267.99 assert (zenon_L93_ : ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e22)) = (e11)) -> ((j (e23)) = (e10)) -> (~((op1 (e14) (e14)) = (j (e24)))) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hde zenon_Hdf zenon_Hda zenon_H6d zenon_H64 zenon_Hb7 zenon_He0. % 267.73/267.99 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_He1 | zenon_intro zenon_He2 ]. % 267.73/267.99 cut (((j (e24)) = (j (e24))) = ((op1 (e14) (e14)) = (j (e24)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_He0. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_He1. % 267.73/267.99 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 267.73/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_He3. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_Hde. % 267.73/267.99 cut (((op1 (j (e22)) (j (e23))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 267.73/267.99 cut (((j (op2 (e22) (e23))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_He1 | zenon_intro zenon_He2 ]. % 267.73/267.99 cut (((j (e24)) = (j (e24))) = ((j (op2 (e22) (e23))) = (j (e24)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_He4. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_He1. % 267.73/267.99 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 267.73/267.99 cut (((j (e24)) = (j (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_He5]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((e24) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 267.73/267.99 congruence. % 267.73/267.99 apply zenon_He6. apply sym_equal. exact zenon_Hdf. % 267.73/267.99 apply zenon_He2. apply refl_equal. % 267.73/267.99 apply zenon_He2. apply refl_equal. % 267.73/267.99 apply (zenon_L92_); trivial. % 267.73/267.99 apply zenon_He2. apply refl_equal. % 267.73/267.99 apply zenon_He2. apply refl_equal. % 267.73/267.99 (* end of lemma zenon_L93_ *) % 267.73/267.99 assert (zenon_L94_ : ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (e23)) = (e10)) -> ((j (e22)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> ((j (e24)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hde zenon_Hb7 zenon_H64 zenon_H6d zenon_Hda zenon_Hdf zenon_He7 zenon_H15. % 267.73/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.99 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H15. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H1f. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8b. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H6d. % 267.73/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.99 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8c. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H1f. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8d. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H7c. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((j (e24)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8c. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_He7. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_He3. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H7c. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.73/267.99 congruence. % 267.73/267.99 apply (zenon_L93_); trivial. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_H14. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 (* end of lemma zenon_L94_ *) % 267.73/267.99 assert (zenon_L95_ : ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (e23)) = (e10)) -> ((j (e22)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> ((j (e24)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hde zenon_Hb7 zenon_H64 zenon_H6d zenon_Hda zenon_Hdf zenon_He8 zenon_H41. % 267.73/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.99 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H41. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H29. % 267.73/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.99 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H79. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H6d. % 267.73/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.73/267.99 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H7a. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H29. % 267.73/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.99 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H7b. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H7c. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((j (e24)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H7a. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_He8. % 267.73/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_He3. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H7c. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.73/267.99 congruence. % 267.73/267.99 apply (zenon_L93_); trivial. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H26. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H26. apply refl_equal. % 267.73/267.99 apply zenon_H26. apply refl_equal. % 267.73/267.99 apply zenon_H14. apply refl_equal. % 267.73/267.99 apply zenon_H26. apply refl_equal. % 267.73/267.99 apply zenon_H26. apply refl_equal. % 267.73/267.99 (* end of lemma zenon_L95_ *) % 267.73/267.99 assert (zenon_L96_ : ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (e23)) = (e10)) -> ((j (e22)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> ((j (e24)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hde zenon_Hb7 zenon_H64 zenon_H6d zenon_Hda zenon_Hdf zenon_He9 zenon_H97. % 267.73/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.99 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H97. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H30. % 267.73/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.99 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Ha3. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H6d. % 267.73/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.73/267.99 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hea. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H30. % 267.73/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.99 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Heb. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H7c. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((j (e24)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hea. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_He9. % 267.73/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.73/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_He3. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H7c. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.73/267.99 congruence. % 267.73/267.99 apply (zenon_L93_); trivial. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H2d. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H2d. apply refl_equal. % 267.73/267.99 apply zenon_H2d. apply refl_equal. % 267.73/267.99 apply zenon_H14. apply refl_equal. % 267.73/267.99 apply zenon_H2d. apply refl_equal. % 267.73/267.99 apply zenon_H2d. apply refl_equal. % 267.73/267.99 (* end of lemma zenon_L96_ *) % 267.73/267.99 assert (zenon_L97_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (e23)) = (e10)) -> ((j (e22)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (~((e11) = (e14))) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hec zenon_H2f zenon_Hd1 zenon_H91 zenon_H15 zenon_H41 zenon_Hde zenon_Hb7 zenon_H64 zenon_H6d zenon_Hda zenon_Hdf zenon_H97. % 267.73/267.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.73/267.99 apply (zenon_L89_); trivial. % 267.73/267.99 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.73/267.99 apply (zenon_L90_); trivial. % 267.73/267.99 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.73/267.99 apply (zenon_L94_); trivial. % 267.73/267.99 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.73/267.99 apply (zenon_L95_); trivial. % 267.73/267.99 apply (zenon_L96_); trivial. % 267.73/267.99 (* end of lemma zenon_L97_ *) % 267.73/267.99 assert (zenon_L98_ : (~((e12) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> ((j (e23)) = (e12)) -> False). % 267.73/267.99 do 0 intro. intros zenon_H44 zenon_H3b zenon_Hb5 zenon_Hc5. % 267.73/267.99 cut (((j (h (e13))) = (e13)) = ((e12) = (e13))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H44. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H3b. % 267.73/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.73/267.99 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.99 cut (((e12) = (e12)) = ((j (h (e13))) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H45. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H1f. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((e12) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.99 cut (((j (h (e13))) = (j (h (e13)))) = ((e12) = (j (h (e13))))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H46. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H3e. % 267.73/267.99 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.99 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((j (e23)) = (e12)) = ((j (h (e13))) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H45. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_Hc5. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((j (e23)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.73/267.99 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e23)) = (j (h (e13))))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hb8. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H3e. % 267.73/267.99 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.73/267.99 cut (((j (h (e13))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 267.73/267.99 congruence. % 267.73/267.99 apply (zenon_L70_); trivial. % 267.73/267.99 apply zenon_H3f. apply refl_equal. % 267.73/267.99 apply zenon_H3f. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_H3f. apply refl_equal. % 267.73/267.99 apply zenon_H3f. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_H26. apply refl_equal. % 267.73/267.99 (* end of lemma zenon_L98_ *) % 267.73/267.99 assert (zenon_L99_ : (~((j (e21)) = (j (op2 (e23) (e23))))) -> ((op2 (e23) (e23)) = (e21)) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hf0 zenon_Hf1. % 267.73/267.99 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 267.73/267.99 congruence. % 267.73/267.99 apply zenon_Hf2. apply sym_equal. exact zenon_Hf1. % 267.73/267.99 (* end of lemma zenon_L99_ *) % 267.73/267.99 assert (zenon_L100_ : (~((op1 (j (e23)) (j (e23))) = (op1 (e13) (e13)))) -> ((j (e23)) = (e13)) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hf3 zenon_Hc6. % 267.73/267.99 cut (((j (e23)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hf4]. % 267.73/267.99 cut (((j (e23)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hf4]. % 267.73/267.99 congruence. % 267.73/267.99 exact (zenon_Hf4 zenon_Hc6). % 267.73/267.99 exact (zenon_Hf4 zenon_Hc6). % 267.73/267.99 (* end of lemma zenon_L100_ *) % 267.73/267.99 assert (zenon_L101_ : (~((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))) -> ((op1 (e13) (e13)) = (e11)) -> ((j (e23)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hf5 zenon_H85 zenon_Hc6 zenon_H6d. % 267.73/267.99 cut (((op1 (e13) (e13)) = (e11)) = ((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hf5. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H85. % 267.73/267.99 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.73/267.99 cut (((op1 (e13) (e13)) = (op1 (j (e23)) (j (e23))))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (j (e23)) (j (e23))) = (op1 (j (e23)) (j (e23))))); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf8 ]. % 267.73/267.99 cut (((op1 (j (e23)) (j (e23))) = (op1 (j (e23)) (j (e23)))) = ((op1 (e13) (e13)) = (op1 (j (e23)) (j (e23))))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hf6. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_Hf7. % 267.73/267.99 cut (((op1 (j (e23)) (j (e23))) = (op1 (j (e23)) (j (e23))))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 267.73/267.99 cut (((op1 (j (e23)) (j (e23))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hf3]. % 267.73/267.99 congruence. % 267.73/267.99 apply (zenon_L100_); trivial. % 267.73/267.99 apply zenon_Hf8. apply refl_equal. % 267.73/267.99 apply zenon_Hf8. apply refl_equal. % 267.73/267.99 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.73/267.99 (* end of lemma zenon_L101_ *) % 267.73/267.99 assert (zenon_L102_ : ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e23)) = (e13)) -> (~((op1 (e14) (e14)) = (j (e21)))) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hf9 zenon_Hf1 zenon_H85 zenon_H6d zenon_Hc6 zenon_Hfa. % 267.73/267.99 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ]. % 267.73/267.99 cut (((j (e21)) = (j (e21))) = ((op1 (e14) (e14)) = (j (e21)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hfa. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_Hfb. % 267.73/267.99 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 267.73/267.99 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hfd. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_Hf9. % 267.73/267.99 cut (((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 267.73/267.99 cut (((j (op2 (e23) (e23))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfe]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ]. % 267.73/267.99 cut (((j (e21)) = (j (e21))) = ((j (op2 (e23) (e23))) = (j (e21)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hfe. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_Hfb. % 267.73/267.99 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 267.73/267.99 cut (((j (e21)) = (j (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_Hf0]. % 267.73/267.99 congruence. % 267.73/267.99 apply (zenon_L99_); trivial. % 267.73/267.99 apply zenon_Hfc. apply refl_equal. % 267.73/267.99 apply zenon_Hfc. apply refl_equal. % 267.73/267.99 apply (zenon_L101_); trivial. % 267.73/267.99 apply zenon_Hfc. apply refl_equal. % 267.73/267.99 apply zenon_Hfc. apply refl_equal. % 267.73/267.99 (* end of lemma zenon_L102_ *) % 267.73/267.99 assert (zenon_L103_ : (~((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))) -> ((j (e23)) = (e14)) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hf5 zenon_Hc7. % 267.73/267.99 cut (((j (e23)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 267.73/267.99 cut (((j (e23)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 267.73/267.99 congruence. % 267.73/267.99 exact (zenon_Hff zenon_Hc7). % 267.73/267.99 exact (zenon_Hff zenon_Hc7). % 267.73/267.99 (* end of lemma zenon_L103_ *) % 267.73/267.99 assert (zenon_L104_ : ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e23)) = (e14)) -> (~((op1 (e14) (e14)) = (j (e21)))) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hf9 zenon_Hf1 zenon_Hc7 zenon_Hfa. % 267.73/267.99 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ]. % 267.73/267.99 cut (((j (e21)) = (j (e21))) = ((op1 (e14) (e14)) = (j (e21)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hfa. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_Hfb. % 267.73/267.99 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 267.73/267.99 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hfd. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_Hf9. % 267.73/267.99 cut (((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 267.73/267.99 cut (((j (op2 (e23) (e23))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfe]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ]. % 267.73/267.99 cut (((j (e21)) = (j (e21))) = ((j (op2 (e23) (e23))) = (j (e21)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hfe. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_Hfb. % 267.73/267.99 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 267.73/267.99 cut (((j (e21)) = (j (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_Hf0]. % 267.73/267.99 congruence. % 267.73/267.99 apply (zenon_L99_); trivial. % 267.73/267.99 apply zenon_Hfc. apply refl_equal. % 267.73/267.99 apply zenon_Hfc. apply refl_equal. % 267.73/267.99 apply (zenon_L103_); trivial. % 267.73/267.99 apply zenon_Hfc. apply refl_equal. % 267.73/267.99 apply zenon_Hfc. apply refl_equal. % 267.73/267.99 (* end of lemma zenon_L104_ *) % 267.73/267.99 assert (zenon_L105_ : ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (e23)) = (e14)) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.73/267.99 do 0 intro. intros zenon_H6d zenon_Hf9 zenon_Hc7 zenon_Hf1 zenon_H55 zenon_H15. % 267.73/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.99 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H15. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H1f. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8b. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H6d. % 267.73/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.99 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8c. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H1f. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8d. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H7c. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((j (e21)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8c. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H55. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hfd. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H7c. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 267.73/267.99 congruence. % 267.73/267.99 apply (zenon_L104_); trivial. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_H14. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 (* end of lemma zenon_L105_ *) % 267.73/267.99 assert (zenon_L106_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e14))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (e22)) = (e11)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> (~((e10) = (e14))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e13))) -> ((h (e13)) = (e23)) -> ((j (h (e13))) = (e13)) -> (~((e12) = (e13))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.73/267.99 do 0 intro. intros zenon_Hc8 zenon_H97 zenon_Hdf zenon_Hda zenon_H64 zenon_Hde zenon_H91 zenon_Hd1 zenon_H2f zenon_Hec zenon_H41 zenon_Hb5 zenon_H3b zenon_H44 zenon_H85 zenon_H6d zenon_Hf9 zenon_Hf1 zenon_H55 zenon_H15. % 267.73/267.99 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.73/267.99 apply (zenon_L97_); trivial. % 267.73/267.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.73/267.99 apply (zenon_L72_); trivial. % 267.73/267.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.73/267.99 apply (zenon_L98_); trivial. % 267.73/267.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.73/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.99 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H15. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H1f. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8b. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H6d. % 267.73/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.99 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8c. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H1f. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8d. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H7c. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((j (e21)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8c. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H55. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_Hfd. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H7c. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 267.73/267.99 congruence. % 267.73/267.99 apply (zenon_L102_); trivial. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_H7d. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_H14. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply zenon_Ha. apply refl_equal. % 267.73/267.99 apply (zenon_L105_); trivial. % 267.73/267.99 (* end of lemma zenon_L106_ *) % 267.73/267.99 assert (zenon_L107_ : ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.73/267.99 do 0 intro. intros zenon_H72 zenon_H55 zenon_H6d zenon_H6c zenon_H67 zenon_H65 zenon_H15. % 267.73/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.99 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H15. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H1f. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8b. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H6d. % 267.73/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.73/267.99 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8c. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H1f. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.73/267.99 congruence. % 267.73/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8d. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H7c. % 267.73/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.73/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.73/267.99 congruence. % 267.73/267.99 cut (((j (e22)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.73/267.99 intro zenon_D_pnotp. % 267.73/267.99 apply zenon_H8c. % 267.73/267.99 rewrite <- zenon_D_pnotp. % 267.73/267.99 exact zenon_H65. % 267.73/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.73/267.99 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H76. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L36_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L107_ *) % 267.81/267.99 assert (zenon_L108_ : ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H72 zenon_H55 zenon_H6d zenon_H6c zenon_H67 zenon_H7e zenon_H97. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H97. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Ha3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hea. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Heb. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e22)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hea. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7e. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H76. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L36_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L108_ *) % 267.81/267.99 assert (zenon_L109_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e12) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H7f zenon_H87 zenon_Hf1 zenon_Hf9 zenon_H85 zenon_H44 zenon_H3b zenon_Hb5 zenon_Hec zenon_H2f zenon_Hd1 zenon_H91 zenon_Hde zenon_Hda zenon_Hdf zenon_Hc8 zenon_H15 zenon_H41 zenon_H72 zenon_H55 zenon_H6d zenon_H6c zenon_H67 zenon_H97. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/267.99 apply (zenon_L87_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/267.99 apply (zenon_L106_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/267.99 apply (zenon_L107_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/267.99 apply (zenon_L37_); trivial. % 267.81/267.99 apply (zenon_L108_); trivial. % 267.81/267.99 (* end of lemma zenon_L109_ *) % 267.81/267.99 assert (zenon_L110_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e20)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e20)) -> (~((e10) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H34 zenon_H97 zenon_H9a zenon_H8f zenon_H91 zenon_H47 zenon_H1d zenon_H1b zenon_H2f. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 267.81/267.99 apply (zenon_L53_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 267.81/267.99 apply (zenon_L54_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 267.81/267.99 apply (zenon_L55_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 267.81/267.99 apply (zenon_L56_); trivial. % 267.81/267.99 apply (zenon_L12_); trivial. % 267.81/267.99 (* end of lemma zenon_L110_ *) % 267.81/267.99 assert (zenon_L111_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> (~((e12) = (e14))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H7f zenon_H2f zenon_Hb1 zenon_H91 zenon_H9a zenon_H41 zenon_H72 zenon_H55 zenon_H6d zenon_H6c zenon_H67 zenon_H97. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/267.99 apply (zenon_L66_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/267.99 apply (zenon_L67_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/267.99 apply (zenon_L68_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/267.99 apply (zenon_L37_); trivial. % 267.81/267.99 apply (zenon_L108_); trivial. % 267.81/267.99 (* end of lemma zenon_L111_ *) % 267.81/267.99 assert (zenon_L112_ : ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H72 zenon_H56 zenon_H6d zenon_H85 zenon_H67 zenon_H65 zenon_H15. % 267.81/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/267.99 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H15. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H1f. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8b. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/267.99 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8c. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H1f. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8d. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e22)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8c. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H65. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H76. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L42_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L112_ *) % 267.81/267.99 assert (zenon_L113_ : ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H72 zenon_H56 zenon_H6d zenon_H85 zenon_H67 zenon_H7e zenon_H97. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H97. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Ha3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hea. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Heb. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e22)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hea. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7e. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H76. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L42_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L113_ *) % 267.81/267.99 assert (zenon_L114_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H7f zenon_H87 zenon_Hb1 zenon_H91 zenon_H15 zenon_H41 zenon_H72 zenon_H56 zenon_H6d zenon_H85 zenon_H67 zenon_H97. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/267.99 apply (zenon_L43_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/267.99 apply (zenon_L67_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/267.99 apply (zenon_L112_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/267.99 apply (zenon_L44_); trivial. % 267.81/267.99 apply (zenon_L113_); trivial. % 267.81/267.99 (* end of lemma zenon_L114_ *) % 267.81/267.99 assert (zenon_L115_ : ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H6d zenon_H72 zenon_H5a zenon_H67 zenon_H7e zenon_H97. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H97. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Ha3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hea. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Heb. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e22)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hea. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7e. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H76. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L47_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L115_ *) % 267.81/267.99 assert (zenon_L116_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H7f zenon_H2f zenon_Hb1 zenon_H91 zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H5a zenon_H67 zenon_H97. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/267.99 apply (zenon_L66_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/267.99 apply (zenon_L67_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/267.99 apply (zenon_L48_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/267.99 apply (zenon_L49_); trivial. % 267.81/267.99 apply (zenon_L115_); trivial. % 267.81/267.99 (* end of lemma zenon_L116_ *) % 267.81/267.99 assert (zenon_L117_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e12))) -> ((h (e12)) = (e21)) -> ((j (h (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e11)) -> (~((e12) = (e14))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e10) = (e11))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H5b zenon_Hb zenon_H51 zenon_Hc zenon_H6c zenon_H9a zenon_H85 zenon_H87 zenon_H7f zenon_H2f zenon_Hb1 zenon_H91 zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H67 zenon_H97. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/267.99 apply (zenon_L28_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/267.99 apply (zenon_L23_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/267.99 apply (zenon_L111_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/267.99 apply (zenon_L114_); trivial. % 267.81/267.99 apply (zenon_L116_); trivial. % 267.81/267.99 (* end of lemma zenon_L117_ *) % 267.81/267.99 assert (zenon_L118_ : (~((op1 (j (e22)) (j (e24))) = (op1 (e11) (e10)))) -> ((j (e24)) = (e10)) -> ((j (e22)) = (e11)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H100 zenon_Hd3 zenon_H64. % 267.81/267.99 cut (((j (e24)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 267.81/267.99 cut (((j (e22)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 267.81/267.99 congruence. % 267.81/267.99 exact (zenon_Hd8 zenon_H64). % 267.81/267.99 exact (zenon_H101 zenon_Hd3). % 267.81/267.99 (* end of lemma zenon_L118_ *) % 267.81/267.99 assert (zenon_L119_ : (~((op1 (j (e22)) (j (e24))) = (op1 (e14) (e14)))) -> ((op1 (e11) (e10)) = (e11)) -> ((j (e22)) = (e11)) -> ((j (e24)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H102 zenon_Hda zenon_H64 zenon_Hd3 zenon_H6d. % 267.81/267.99 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (j (e22)) (j (e24))) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H102. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hda. % 267.81/267.99 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.81/267.99 cut (((op1 (e11) (e10)) = (op1 (j (e22)) (j (e24))))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (j (e22)) (j (e24))) = (op1 (j (e22)) (j (e24))))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ]. % 267.81/267.99 cut (((op1 (j (e22)) (j (e24))) = (op1 (j (e22)) (j (e24)))) = ((op1 (e11) (e10)) = (op1 (j (e22)) (j (e24))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H103. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H104. % 267.81/267.99 cut (((op1 (j (e22)) (j (e24))) = (op1 (j (e22)) (j (e24))))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 267.81/267.99 cut (((op1 (j (e22)) (j (e24))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L118_); trivial. % 267.81/267.99 apply zenon_H105. apply refl_equal. % 267.81/267.99 apply zenon_H105. apply refl_equal. % 267.81/267.99 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.81/267.99 (* end of lemma zenon_L119_ *) % 267.81/267.99 assert (zenon_L120_ : ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e24)) = (e21)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e22)) = (e11)) -> ((j (e24)) = (e10)) -> (~((op1 (e14) (e14)) = (j (e21)))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H106 zenon_H107 zenon_Hda zenon_H6d zenon_H64 zenon_Hd3 zenon_Hfa. % 267.81/267.99 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ]. % 267.81/267.99 cut (((j (e21)) = (j (e21))) = ((op1 (e14) (e14)) = (j (e21)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hfa. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hfb. % 267.81/267.99 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 267.81/267.99 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hfd. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H106. % 267.81/267.99 cut (((op1 (j (e22)) (j (e24))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 267.81/267.99 cut (((j (op2 (e22) (e24))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ]. % 267.81/267.99 cut (((j (e21)) = (j (e21))) = ((j (op2 (e22) (e24))) = (j (e21)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H108. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hfb. % 267.81/267.99 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 267.81/267.99 cut (((j (e21)) = (j (op2 (e22) (e24))))); [idtac | apply NNPP; zenon_intro zenon_H109]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((e21) = (op2 (e22) (e24)))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 267.81/267.99 congruence. % 267.81/267.99 apply zenon_H10a. apply sym_equal. exact zenon_H107. % 267.81/267.99 apply zenon_Hfc. apply refl_equal. % 267.81/267.99 apply zenon_Hfc. apply refl_equal. % 267.81/267.99 apply (zenon_L119_); trivial. % 267.81/267.99 apply zenon_Hfc. apply refl_equal. % 267.81/267.99 apply zenon_Hfc. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L120_ *) % 267.81/267.99 assert (zenon_L121_ : ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((j (e24)) = (e10)) -> ((j (e22)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e24)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H106 zenon_Hd3 zenon_H64 zenon_H6d zenon_Hda zenon_H107 zenon_H55 zenon_H15. % 267.81/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/267.99 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H15. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H1f. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8b. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/267.99 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8c. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H1f. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8d. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e21)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8c. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H55. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hfd. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L120_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L121_ *) % 267.81/267.99 assert (zenon_L122_ : (~((j (h (e13))) = (j (e24)))) -> ((h (e13)) = (e24)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H10b zenon_H10c. % 267.81/267.99 cut (((h (e13)) = (e24))); [idtac | apply NNPP; zenon_intro zenon_H10d]. % 267.81/267.99 congruence. % 267.81/267.99 exact (zenon_H10d zenon_H10c). % 267.81/267.99 (* end of lemma zenon_L122_ *) % 267.81/267.99 assert (zenon_L123_ : (~((e11) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> ((j (e24)) = (e11)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H41 zenon_H3b zenon_H10c zenon_Hd5. % 267.81/267.99 cut (((j (h (e13))) = (e13)) = ((e11) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H41. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H3b. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/267.99 cut (((e11) = (e11)) = ((j (h (e13))) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H42. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H18. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((e11) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.81/267.99 cut (((j (h (e13))) = (j (h (e13)))) = ((e11) = (j (h (e13))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H43. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H3e. % 267.81/267.99 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.81/267.99 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e24)) = (e11)) = ((j (h (e13))) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H42. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hd5. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((j (e24)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.81/267.99 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e24)) = (j (h (e13))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H10e. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H3e. % 267.81/267.99 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.81/267.99 cut (((j (h (e13))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L122_); trivial. % 267.81/267.99 apply zenon_H3f. apply refl_equal. % 267.81/267.99 apply zenon_H3f. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H3f. apply refl_equal. % 267.81/267.99 apply zenon_H3f. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L123_ *) % 267.81/267.99 assert (zenon_L124_ : ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> ((j (e24)) = (e14)) -> (~((e13) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H3b zenon_H10c zenon_He9 zenon_H47. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((e13) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H47. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (h (e13))) = (e13)) = ((e14) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H48. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H3b. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((j (h (e13))) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H49. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.81/267.99 cut (((j (h (e13))) = (j (h (e13)))) = ((e14) = (j (h (e13))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H4a. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H3e. % 267.81/267.99 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.81/267.99 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e24)) = (e14)) = ((j (h (e13))) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H49. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He9. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((j (e24)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.81/267.99 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e24)) = (j (h (e13))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H10e. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H3e. % 267.81/267.99 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.81/267.99 cut (((j (h (e13))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L122_); trivial. % 267.81/267.99 apply zenon_H3f. apply refl_equal. % 267.81/267.99 apply zenon_H3f. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H3f. apply refl_equal. % 267.81/267.99 apply zenon_H3f. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L124_ *) % 267.81/267.99 assert (zenon_L125_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (e21)) = (e12)) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e22)) = (e11)) -> ((j (e23)) = (e10)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_Hec zenon_H55 zenon_H107 zenon_H106 zenon_H15 zenon_H41 zenon_Hdf zenon_Hda zenon_H6d zenon_H64 zenon_Hb7 zenon_Hde zenon_H3b zenon_H10c zenon_H47. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/267.99 apply (zenon_L121_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/267.99 apply (zenon_L123_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/267.99 apply (zenon_L94_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/267.99 apply (zenon_L95_); trivial. % 267.81/267.99 apply (zenon_L124_); trivial. % 267.81/267.99 (* end of lemma zenon_L125_ *) % 267.81/267.99 assert (zenon_L126_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> (~((e12) = (e14))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H7f zenon_H87 zenon_Hf1 zenon_Hf9 zenon_H47 zenon_H91 zenon_Hcd zenon_H9a zenon_Hec zenon_H107 zenon_H106 zenon_Hdf zenon_Hda zenon_Hde zenon_H3b zenon_H10c zenon_Hc8 zenon_H15 zenon_H41 zenon_H72 zenon_H55 zenon_H6d zenon_H6c zenon_H67 zenon_H97. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/267.99 apply (zenon_L87_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/267.99 apply (zenon_L125_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/267.99 apply (zenon_L83_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/267.99 apply (zenon_L84_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/267.99 apply (zenon_L85_); trivial. % 267.81/267.99 apply (zenon_L105_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/267.99 apply (zenon_L107_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/267.99 apply (zenon_L37_); trivial. % 267.81/267.99 apply (zenon_L108_); trivial. % 267.81/267.99 (* end of lemma zenon_L126_ *) % 267.81/267.99 assert (zenon_L127_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e14))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((h (e13)) = (e24)) -> ((j (h (e13))) = (e13)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e10) = (e11))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H5b zenon_Hb zenon_H97 zenon_H67 zenon_H6c zenon_H6d zenon_H72 zenon_H41 zenon_H15 zenon_Hc8 zenon_H10c zenon_H3b zenon_Hde zenon_Hda zenon_Hdf zenon_H106 zenon_H107 zenon_Hec zenon_Hcd zenon_H91 zenon_H47 zenon_Hf9 zenon_Hf1 zenon_H87 zenon_H7f zenon_H44 zenon_Hc zenon_H51 zenon_H9a. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/267.99 apply (zenon_L28_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/267.99 apply (zenon_L23_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/267.99 apply (zenon_L126_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/267.99 apply (zenon_L25_); trivial. % 267.81/267.99 apply (zenon_L63_); trivial. % 267.81/267.99 (* end of lemma zenon_L127_ *) % 267.81/267.99 assert (zenon_L128_ : (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> ((j (e24)) = (e12)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H9a zenon_H91 zenon_Hd1 zenon_He7. % 267.81/267.99 cut (((j (h (e14))) = (e14)) = ((e12) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H9a. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H91. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/267.99 cut (((e12) = (e12)) = ((j (h (e14))) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H9b. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H1f. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((e12) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14)))) = ((e12) = (j (h (e14))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H9c. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H94. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.81/267.99 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e24)) = (e12)) = ((j (h (e14))) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H9b. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He7. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((j (e24)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e24)) = (j (h (e14))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hd4. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H94. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.81/267.99 cut (((j (h (e14))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L88_); trivial. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L128_ *) % 267.81/267.99 assert (zenon_L129_ : (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> ((j (e24)) = (e13)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H47 zenon_H91 zenon_Hd1 zenon_He8. % 267.81/267.99 cut (((j (h (e14))) = (e14)) = ((e13) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H47. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H91. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/267.99 cut (((e13) = (e13)) = ((j (h (e14))) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H9d. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H29. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((e13) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14)))) = ((e13) = (j (h (e14))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H9e. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H94. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.81/267.99 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e24)) = (e13)) = ((j (h (e14))) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H9d. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He8. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((j (e24)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e24)) = (j (h (e14))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hd4. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H94. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.81/267.99 cut (((j (h (e14))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L88_); trivial. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L129_ *) % 267.81/267.99 assert (zenon_L130_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_Hec zenon_H2f zenon_H97 zenon_H9a zenon_Hd1 zenon_H91 zenon_H3b zenon_H10c zenon_H47. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/267.99 apply (zenon_L89_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/267.99 apply (zenon_L90_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/267.99 apply (zenon_L128_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/267.99 apply (zenon_L129_); trivial. % 267.81/267.99 apply (zenon_L124_); trivial. % 267.81/267.99 (* end of lemma zenon_L130_ *) % 267.81/267.99 assert (zenon_L131_ : (((h (e14)) = (e20))\/(((h (e14)) = (e21))\/(((h (e14)) = (e22))\/(((h (e14)) = (e23))\/((h (e14)) = (e24)))))) -> ((h (e10)) = (e20)) -> ((j (h (e10))) = (e10)) -> (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> ((op1 (e13) (e13)) = (e11)) -> ((h (e12)) = (e21)) -> ((j (h (e12))) = (e12)) -> (~((e12) = (e13))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e10) = (e12))) -> (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H10f zenon_H1b zenon_H1d zenon_H34 zenon_H85 zenon_H51 zenon_Hc zenon_H44 zenon_H7f zenon_H87 zenon_Hf1 zenon_Hf9 zenon_H107 zenon_H106 zenon_Hdf zenon_Hda zenon_Hde zenon_Hc8 zenon_H15 zenon_H41 zenon_H72 zenon_H6d zenon_H6c zenon_H67 zenon_Hb zenon_H5b zenon_Hec zenon_H2f zenon_H97 zenon_H9a zenon_H91 zenon_H3b zenon_H10c zenon_H47. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/267.99 apply (zenon_L110_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/267.99 apply (zenon_L64_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/267.99 apply (zenon_L117_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/267.99 apply (zenon_L127_); trivial. % 267.81/267.99 apply (zenon_L130_); trivial. % 267.81/267.99 (* end of lemma zenon_L131_ *) % 267.81/267.99 assert (zenon_L132_ : (~((e11) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> ((j (e21)) = (e11)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H41 zenon_H3b zenon_H4c zenon_H53. % 267.81/267.99 cut (((j (h (e13))) = (e13)) = ((e11) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H41. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H3b. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/267.99 cut (((e11) = (e11)) = ((j (h (e13))) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H42. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H18. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((e11) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.81/267.99 cut (((j (h (e13))) = (j (h (e13)))) = ((e11) = (j (h (e13))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H43. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H3e. % 267.81/267.99 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.81/267.99 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e21)) = (e11)) = ((j (h (e13))) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H42. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H53. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((j (e21)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.81/267.99 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e21)) = (j (h (e13))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H4f. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H3e. % 267.81/267.99 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.81/267.99 cut (((j (h (e13))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L20_); trivial. % 267.81/267.99 apply zenon_H3f. apply refl_equal. % 267.81/267.99 apply zenon_H3f. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H3f. apply refl_equal. % 267.81/267.99 apply zenon_H3f. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L132_ *) % 267.81/267.99 assert (zenon_L133_ : (~((j (h (e12))) = (j (e22)))) -> ((h (e12)) = (e22)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H113 zenon_H114. % 267.81/267.99 cut (((h (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 267.81/267.99 congruence. % 267.81/267.99 exact (zenon_H115 zenon_H114). % 267.81/267.99 (* end of lemma zenon_L133_ *) % 267.81/267.99 assert (zenon_L134_ : (~((e11) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> ((j (e22)) = (e11)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H15 zenon_Hc zenon_H114 zenon_H64. % 267.81/267.99 cut (((j (h (e12))) = (e12)) = ((e11) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H15. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hc. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/267.99 cut (((e11) = (e11)) = ((j (h (e12))) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H17. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H18. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((e11) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12)))) = ((e11) = (j (h (e12))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H19. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H11. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/267.99 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e22)) = (e11)) = ((j (h (e12))) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H17. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H64. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((j (e22)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e22)) = (j (h (e12))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H116. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H11. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/267.99 cut (((j (h (e12))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L133_); trivial. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L134_ *) % 267.81/267.99 assert (zenon_L135_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> ((j (e22)) = (e13)) -> (~((e12) = (e13))) -> False). % 267.81/267.99 do 0 intro. intros zenon_Hc zenon_H114 zenon_H78 zenon_H44. % 267.81/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/267.99 cut (((e13) = (e13)) = ((e12) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H44. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H29. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (h (e12))) = (e12)) = ((e13) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H57. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hc. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/267.99 cut (((e13) = (e13)) = ((j (h (e12))) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H58. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H29. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((e13) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12)))) = ((e13) = (j (h (e12))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H59. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H11. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/267.99 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e22)) = (e13)) = ((j (h (e12))) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H58. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H78. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((j (e22)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e22)) = (j (h (e12))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H116. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H11. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/267.99 cut (((j (h (e12))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L133_); trivial. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L135_ *) % 267.81/267.99 assert (zenon_L136_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> ((j (e22)) = (e14)) -> (~((e12) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_Hc zenon_H114 zenon_H7e zenon_H9a. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((e12) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H9a. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (h (e12))) = (e12)) = ((e14) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Had. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hc. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((j (h (e12))) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hae. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12)))) = ((e14) = (j (h (e12))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Haf. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H11. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/267.99 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e22)) = (e14)) = ((j (h (e12))) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hae. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7e. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((j (e22)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e22)) = (j (h (e12))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H116. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H11. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/267.99 cut (((j (h (e12))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L133_); trivial. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L136_ *) % 267.81/267.99 assert (zenon_L137_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e13)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H7f zenon_H87 zenon_H15 zenon_H67 zenon_H85 zenon_H6d zenon_H56 zenon_H72 zenon_H44 zenon_Hc zenon_H114 zenon_H9a. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/267.99 apply (zenon_L43_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/267.99 apply (zenon_L134_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/267.99 apply (zenon_L112_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/267.99 apply (zenon_L135_); trivial. % 267.81/267.99 apply (zenon_L136_); trivial. % 267.81/267.99 (* end of lemma zenon_L137_ *) % 267.81/267.99 assert (zenon_L138_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((e12) = (e14))) -> ((h (e12)) = (e22)) -> ((j (h (e12))) = (e12)) -> (~((e12) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> (~((e13) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H5b zenon_H28 zenon_H41 zenon_H9a zenon_H114 zenon_Hc zenon_H44 zenon_H72 zenon_H6d zenon_H85 zenon_H67 zenon_H15 zenon_H87 zenon_H7f zenon_H3b zenon_H4c zenon_H47. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/267.99 apply (zenon_L21_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/267.99 apply (zenon_L132_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/267.99 apply (zenon_L24_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/267.99 apply (zenon_L137_); trivial. % 267.81/267.99 apply (zenon_L26_); trivial. % 267.81/267.99 (* end of lemma zenon_L138_ *) % 267.81/267.99 assert (zenon_L139_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> ((h (e12)) = (e22)) -> ((j (h (e12))) = (e12)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H7f zenon_H28 zenon_H41 zenon_H44 zenon_H114 zenon_Hc zenon_H3b zenon_H60 zenon_H47. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/267.99 apply (zenon_L30_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/267.99 apply (zenon_L31_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/267.99 apply (zenon_L32_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/267.99 apply (zenon_L135_); trivial. % 267.81/267.99 apply (zenon_L38_); trivial. % 267.81/267.99 (* end of lemma zenon_L139_ *) % 267.81/267.99 assert (zenon_L140_ : (~((e10) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e21)) -> ((j (e21)) = (e10)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H2f zenon_H91 zenon_Haa zenon_H4e. % 267.81/267.99 cut (((j (h (e14))) = (e14)) = ((e10) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H2f. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H91. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.81/267.99 cut (((e10) = (e10)) = ((j (h (e14))) = (e10))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H92. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hf. % 267.81/267.99 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/267.99 cut (((e10) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14)))) = ((e10) = (j (h (e14))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H93. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H94. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.81/267.99 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e21)) = (e10)) = ((j (h (e14))) = (e10))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H92. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H4e. % 267.81/267.99 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/267.99 cut (((j (e21)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hac]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e21)) = (j (h (e14))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hac. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H94. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.81/267.99 cut (((j (h (e14))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L60_); trivial. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H9. apply refl_equal. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H9. apply refl_equal. % 267.81/267.99 apply zenon_H9. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L140_ *) % 267.81/267.99 assert (zenon_L141_ : (~((e11) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e21)) -> ((j (e21)) = (e11)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H97 zenon_H91 zenon_Haa zenon_H53. % 267.81/267.99 cut (((j (h (e14))) = (e14)) = ((e11) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H97. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H91. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/267.99 cut (((e11) = (e11)) = ((j (h (e14))) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H98. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H18. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((e11) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14)))) = ((e11) = (j (h (e14))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H99. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H94. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.81/267.99 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e21)) = (e11)) = ((j (h (e14))) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H98. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H53. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((j (e21)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hac]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e21)) = (j (h (e14))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hac. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H94. % 267.81/267.99 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 267.81/267.99 cut (((j (h (e14))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L60_); trivial. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H95. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L141_ *) % 267.81/267.99 assert (zenon_L142_ : (~((e10) = (e11))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e10)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H87 zenon_H6d zenon_H72 zenon_H5a zenon_H67 zenon_H62. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e10) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H87. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.81/267.99 cut (((e10) = (e10)) = ((op1 (e14) (e14)) = (e10))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H88. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hf. % 267.81/267.99 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/267.99 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e10) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H89. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e22)) = (e10)) = ((op1 (e14) (e14)) = (e10))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H88. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H62. % 267.81/267.99 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/267.99 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H76. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L47_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H9. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H9. apply refl_equal. % 267.81/267.99 apply zenon_H9. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L142_ *) % 267.81/267.99 assert (zenon_L143_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e21)) = (e14)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e11)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H7f zenon_H87 zenon_H15 zenon_H67 zenon_H5a zenon_H72 zenon_H6d zenon_H44 zenon_Hc zenon_H114 zenon_H9a. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/267.99 apply (zenon_L142_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/267.99 apply (zenon_L134_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/267.99 apply (zenon_L48_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/267.99 apply (zenon_L135_); trivial. % 267.81/267.99 apply (zenon_L136_); trivial. % 267.81/267.99 (* end of lemma zenon_L143_ *) % 267.81/267.99 assert (zenon_L144_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> ((h (e14)) = (e21)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e11)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H5b zenon_H2f zenon_H97 zenon_Haa zenon_H91 zenon_H47 zenon_H7f zenon_H87 zenon_H15 zenon_H67 zenon_H72 zenon_H6d zenon_H44 zenon_Hc zenon_H114 zenon_H9a. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/267.99 apply (zenon_L140_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/267.99 apply (zenon_L141_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/267.99 apply (zenon_L61_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/267.99 apply (zenon_L62_); trivial. % 267.81/267.99 apply (zenon_L143_); trivial. % 267.81/267.99 (* end of lemma zenon_L144_ *) % 267.81/267.99 assert (zenon_L145_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H7f zenon_H2f zenon_H97 zenon_Hb1 zenon_H91 zenon_H47 zenon_Hc zenon_H114 zenon_H9a. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/267.99 apply (zenon_L66_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/267.99 apply (zenon_L67_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/267.99 apply (zenon_L68_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/267.99 apply (zenon_L69_); trivial. % 267.81/267.99 apply (zenon_L136_); trivial. % 267.81/267.99 (* end of lemma zenon_L145_ *) % 267.81/267.99 assert (zenon_L146_ : (~((e10) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> ((j (e22)) = (e10)) -> False). % 267.81/267.99 do 0 intro. intros zenon_Hb zenon_Hc zenon_H114 zenon_H62. % 267.81/267.99 cut (((j (h (e12))) = (e12)) = ((e10) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hb. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hc. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.81/267.99 cut (((e10) = (e10)) = ((j (h (e12))) = (e10))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hf. % 267.81/267.99 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/267.99 cut (((e10) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H10]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12)))) = ((e10) = (j (h (e12))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H10. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H11. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/267.99 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e22)) = (e10)) = ((j (h (e12))) = (e10))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H62. % 267.81/267.99 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/267.99 cut (((j (e22)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e22)) = (j (h (e12))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H116. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H11. % 267.81/267.99 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/267.99 cut (((j (h (e12))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L133_); trivial. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H9. apply refl_equal. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H12. apply refl_equal. % 267.81/267.99 apply zenon_H9. apply refl_equal. % 267.81/267.99 apply zenon_H9. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L146_ *) % 267.81/267.99 assert (zenon_L147_ : (~((j (e24)) = (j (op2 (e21) (e22))))) -> ((op2 (e21) (e22)) = (e24)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H117 zenon_H118. % 267.81/267.99 cut (((e24) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 267.81/267.99 congruence. % 267.81/267.99 apply zenon_H119. apply sym_equal. exact zenon_H118. % 267.81/267.99 (* end of lemma zenon_L147_ *) % 267.81/267.99 assert (zenon_L148_ : (~((op1 (j (e21)) (j (e22))) = (op1 (e10) (e11)))) -> ((j (e22)) = (e11)) -> ((j (e21)) = (e10)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H11a zenon_H64 zenon_H4e. % 267.81/267.99 cut (((j (e22)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 267.81/267.99 cut (((j (e21)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H11b]. % 267.81/267.99 congruence. % 267.81/267.99 exact (zenon_H11b zenon_H4e). % 267.81/267.99 exact (zenon_Hd8 zenon_H64). % 267.81/267.99 (* end of lemma zenon_L148_ *) % 267.81/267.99 assert (zenon_L149_ : (~((op1 (j (e21)) (j (e22))) = (op1 (e14) (e14)))) -> ((op1 (e10) (e11)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (e22)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H11c zenon_H11d zenon_H4e zenon_H64 zenon_H6d. % 267.81/267.99 cut (((op1 (e10) (e11)) = (e11)) = ((op1 (j (e21)) (j (e22))) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H11c. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H11d. % 267.81/267.99 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.81/267.99 cut (((op1 (e10) (e11)) = (op1 (j (e21)) (j (e22))))); [idtac | apply NNPP; zenon_intro zenon_H11e]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (j (e21)) (j (e22))) = (op1 (j (e21)) (j (e22))))); [ zenon_intro zenon_H11f | zenon_intro zenon_H120 ]. % 267.81/267.99 cut (((op1 (j (e21)) (j (e22))) = (op1 (j (e21)) (j (e22)))) = ((op1 (e10) (e11)) = (op1 (j (e21)) (j (e22))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H11e. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H11f. % 267.81/267.99 cut (((op1 (j (e21)) (j (e22))) = (op1 (j (e21)) (j (e22))))); [idtac | apply NNPP; zenon_intro zenon_H120]. % 267.81/267.99 cut (((op1 (j (e21)) (j (e22))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L148_); trivial. % 267.81/267.99 apply zenon_H120. apply refl_equal. % 267.81/267.99 apply zenon_H120. apply refl_equal. % 267.81/267.99 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.81/267.99 (* end of lemma zenon_L149_ *) % 267.81/267.99 assert (zenon_L150_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (e22)) = (e11)) -> (~((op1 (e14) (e14)) = (j (e24)))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H121 zenon_H118 zenon_H11d zenon_H6d zenon_H4e zenon_H64 zenon_He0. % 267.81/267.99 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_He1 | zenon_intro zenon_He2 ]. % 267.81/267.99 cut (((j (e24)) = (j (e24))) = ((op1 (e14) (e14)) = (j (e24)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He0. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He1. % 267.81/267.99 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 267.81/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H121. % 267.81/267.99 cut (((op1 (j (e21)) (j (e22))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 267.81/267.99 cut (((j (op2 (e21) (e22))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_He1 | zenon_intro zenon_He2 ]. % 267.81/267.99 cut (((j (e24)) = (j (e24))) = ((j (op2 (e21) (e22))) = (j (e24)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H122. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He1. % 267.81/267.99 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 267.81/267.99 cut (((j (e24)) = (j (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L147_); trivial. % 267.81/267.99 apply zenon_He2. apply refl_equal. % 267.81/267.99 apply zenon_He2. apply refl_equal. % 267.81/267.99 apply (zenon_L149_); trivial. % 267.81/267.99 apply zenon_He2. apply refl_equal. % 267.81/267.99 apply zenon_He2. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L150_ *) % 267.81/267.99 assert (zenon_L151_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e11)) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> ((j (e24)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H121 zenon_H64 zenon_H4e zenon_H6d zenon_H11d zenon_H118 zenon_He7 zenon_H15. % 267.81/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/267.99 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H15. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H1f. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8b. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/267.99 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8c. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H1f. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8d. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e24)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8c. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He7. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L150_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L151_ *) % 267.81/267.99 assert (zenon_L152_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e11)) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> ((j (e24)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H121 zenon_H64 zenon_H4e zenon_H6d zenon_H11d zenon_H118 zenon_He8 zenon_H41. % 267.81/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/267.99 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H41. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H29. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H79. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/267.99 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H7a. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H29. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H7b. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e24)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H7a. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He8. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L150_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L152_ *) % 267.81/267.99 assert (zenon_L153_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e11)) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> ((j (e24)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H121 zenon_H64 zenon_H4e zenon_H6d zenon_H11d zenon_H118 zenon_He9 zenon_H97. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H97. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Ha3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hea. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Heb. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e24)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hea. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He9. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L150_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L153_ *) % 267.81/267.99 assert (zenon_L154_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e11)) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_Hec zenon_H2f zenon_Hd1 zenon_H91 zenon_H15 zenon_H41 zenon_H121 zenon_H64 zenon_H4e zenon_H6d zenon_H11d zenon_H118 zenon_H97. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/267.99 apply (zenon_L89_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/267.99 apply (zenon_L90_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/267.99 apply (zenon_L151_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/267.99 apply (zenon_L152_); trivial. % 267.81/267.99 apply (zenon_L153_); trivial. % 267.81/267.99 (* end of lemma zenon_L154_ *) % 267.81/267.99 assert (zenon_L155_ : (~((j (e24)) = (j (op2 (e23) (e21))))) -> ((op2 (e23) (e21)) = (e24)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H123 zenon_H124. % 267.81/267.99 cut (((e24) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H125]. % 267.81/267.99 congruence. % 267.81/267.99 apply zenon_H125. apply sym_equal. exact zenon_H124. % 267.81/267.99 (* end of lemma zenon_L155_ *) % 267.81/267.99 assert (zenon_L156_ : (~((op1 (j (e23)) (j (e21))) = (op1 (e11) (e10)))) -> ((j (e21)) = (e10)) -> ((j (e23)) = (e11)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H126 zenon_H4e zenon_Hb9. % 267.81/267.99 cut (((j (e21)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H11b]. % 267.81/267.99 cut (((j (e23)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H127]. % 267.81/267.99 congruence. % 267.81/267.99 exact (zenon_H127 zenon_Hb9). % 267.81/267.99 exact (zenon_H11b zenon_H4e). % 267.81/267.99 (* end of lemma zenon_L156_ *) % 267.81/267.99 assert (zenon_L157_ : (~((op1 (j (e23)) (j (e21))) = (op1 (e14) (e14)))) -> ((op1 (e11) (e10)) = (e11)) -> ((j (e23)) = (e11)) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H128 zenon_Hda zenon_Hb9 zenon_H4e zenon_H6d. % 267.81/267.99 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (j (e23)) (j (e21))) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H128. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hda. % 267.81/267.99 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.81/267.99 cut (((op1 (e11) (e10)) = (op1 (j (e23)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H129]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (j (e23)) (j (e21))) = (op1 (j (e23)) (j (e21))))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ]. % 267.81/267.99 cut (((op1 (j (e23)) (j (e21))) = (op1 (j (e23)) (j (e21)))) = ((op1 (e11) (e10)) = (op1 (j (e23)) (j (e21))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H129. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H12a. % 267.81/267.99 cut (((op1 (j (e23)) (j (e21))) = (op1 (j (e23)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 267.81/267.99 cut (((op1 (j (e23)) (j (e21))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L156_); trivial. % 267.81/267.99 apply zenon_H12b. apply refl_equal. % 267.81/267.99 apply zenon_H12b. apply refl_equal. % 267.81/267.99 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.81/267.99 (* end of lemma zenon_L157_ *) % 267.81/267.99 assert (zenon_L158_ : ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e23)) = (e11)) -> ((j (e21)) = (e10)) -> (~((op1 (e14) (e14)) = (j (e24)))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H12c zenon_H124 zenon_Hda zenon_H6d zenon_Hb9 zenon_H4e zenon_He0. % 267.81/267.99 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_He1 | zenon_intro zenon_He2 ]. % 267.81/267.99 cut (((j (e24)) = (j (e24))) = ((op1 (e14) (e14)) = (j (e24)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He0. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He1. % 267.81/267.99 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 267.81/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H12c. % 267.81/267.99 cut (((op1 (j (e23)) (j (e21))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H128]. % 267.81/267.99 cut (((j (op2 (e23) (e21))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_He1 | zenon_intro zenon_He2 ]. % 267.81/267.99 cut (((j (e24)) = (j (e24))) = ((j (op2 (e23) (e21))) = (j (e24)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H12d. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He1. % 267.81/267.99 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 267.81/267.99 cut (((j (e24)) = (j (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L155_); trivial. % 267.81/267.99 apply zenon_He2. apply refl_equal. % 267.81/267.99 apply zenon_He2. apply refl_equal. % 267.81/267.99 apply (zenon_L157_); trivial. % 267.81/267.99 apply zenon_He2. apply refl_equal. % 267.81/267.99 apply zenon_He2. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L158_ *) % 267.81/267.99 assert (zenon_L159_ : ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (e21)) = (e10)) -> ((j (e23)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> ((j (e24)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H12c zenon_H4e zenon_Hb9 zenon_H6d zenon_Hda zenon_H124 zenon_He7 zenon_H15. % 267.81/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/267.99 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H15. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H1f. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8b. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/267.99 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8c. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H1f. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8d. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e24)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8c. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He7. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L158_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L159_ *) % 267.81/267.99 assert (zenon_L160_ : ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (e21)) = (e10)) -> ((j (e23)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> ((j (e24)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H12c zenon_H4e zenon_Hb9 zenon_H6d zenon_Hda zenon_H124 zenon_He8 zenon_H41. % 267.81/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/267.99 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H41. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H29. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H79. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/267.99 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H7a. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H29. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H7b. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e24)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H7a. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He8. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L158_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L160_ *) % 267.81/267.99 assert (zenon_L161_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (e21)) = (e10)) -> ((j (e23)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_Hec zenon_H2f zenon_Hd1 zenon_H91 zenon_H15 zenon_H41 zenon_H12c zenon_H4e zenon_Hb9 zenon_H6d zenon_Hda zenon_H124 zenon_H97. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/267.99 apply (zenon_L89_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/267.99 apply (zenon_L90_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/267.99 apply (zenon_L159_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/267.99 apply (zenon_L160_); trivial. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H97. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Ha3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hea. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Heb. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e24)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hea. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He9. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L158_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L161_ *) % 267.81/267.99 assert (zenon_L162_ : (~((op1 (j (e22)) (j (e22))) = (op1 (e12) (e12)))) -> ((j (e22)) = (e12)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H12e zenon_H65. % 267.81/267.99 cut (((j (e22)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 267.81/267.99 cut (((j (e22)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 267.81/267.99 congruence. % 267.81/267.99 exact (zenon_H12f zenon_H65). % 267.81/267.99 exact (zenon_H12f zenon_H65). % 267.81/267.99 (* end of lemma zenon_L162_ *) % 267.81/267.99 assert (zenon_L163_ : (~((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))) -> ((op1 (e12) (e12)) = (e11)) -> ((j (e22)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.81/267.99 do 0 intro. intros zenon_Hbd zenon_H6c zenon_H65 zenon_H6d. % 267.81/267.99 cut (((op1 (e12) (e12)) = (e11)) = ((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hbd. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6c. % 267.81/267.99 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.81/267.99 cut (((op1 (e12) (e12)) = (op1 (j (e22)) (j (e22))))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (j (e22)) (j (e22))) = (op1 (j (e22)) (j (e22))))); [ zenon_intro zenon_H131 | zenon_intro zenon_H132 ]. % 267.81/267.99 cut (((op1 (j (e22)) (j (e22))) = (op1 (j (e22)) (j (e22)))) = ((op1 (e12) (e12)) = (op1 (j (e22)) (j (e22))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H130. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H131. % 267.81/267.99 cut (((op1 (j (e22)) (j (e22))) = (op1 (j (e22)) (j (e22))))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 267.81/267.99 cut (((op1 (j (e22)) (j (e22))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L162_); trivial. % 267.81/267.99 apply zenon_H132. apply refl_equal. % 267.81/267.99 apply zenon_H132. apply refl_equal. % 267.81/267.99 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.81/267.99 (* end of lemma zenon_L163_ *) % 267.81/267.99 assert (zenon_L164_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e22)) = (e12)) -> (~((op1 (e14) (e14)) = (j (e23)))) -> False). % 267.81/267.99 do 0 intro. intros zenon_Hbf zenon_Hbb zenon_H6c zenon_H6d zenon_H65 zenon_Hc0. % 267.81/267.99 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc2 ]. % 267.81/267.99 cut (((j (e23)) = (j (e23))) = ((op1 (e14) (e14)) = (j (e23)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hc0. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hc1. % 267.81/267.99 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 267.81/267.99 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hc3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hbf. % 267.81/267.99 cut (((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hbd]. % 267.81/267.99 cut (((j (op2 (e22) (e22))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc2 ]. % 267.81/267.99 cut (((j (e23)) = (j (e23))) = ((j (op2 (e22) (e22))) = (j (e23)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hc4. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hc1. % 267.81/267.99 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 267.81/267.99 cut (((j (e23)) = (j (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L73_); trivial. % 267.81/267.99 apply zenon_Hc2. apply refl_equal. % 267.81/267.99 apply zenon_Hc2. apply refl_equal. % 267.81/267.99 apply (zenon_L163_); trivial. % 267.81/267.99 apply zenon_Hc2. apply refl_equal. % 267.81/267.99 apply zenon_Hc2. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L164_ *) % 267.81/267.99 assert (zenon_L165_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e22) (e22)) = (e23)) -> ((j (e23)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/267.99 do 0 intro. intros zenon_Hbf zenon_H65 zenon_H6d zenon_H6c zenon_Hbb zenon_Hc6 zenon_H41. % 267.81/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/267.99 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H41. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H29. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H79. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/267.99 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H7a. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H29. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H7b. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e23)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H7a. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hc6. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hc3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L164_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 apply zenon_H26. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L165_ *) % 267.81/267.99 assert (zenon_L166_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e22) (e22)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_Hbf zenon_H65 zenon_H6d zenon_H6c zenon_Hbb zenon_Hc7 zenon_H97. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H97. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Ha3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/267.99 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hea. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H30. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Heb. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e23)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hea. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_Hc7. % 267.81/267.99 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/267.99 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_Hc3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L164_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 apply zenon_H2d. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L166_ *) % 267.81/267.99 assert (zenon_L167_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e12))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> (~((e11) = (e14))) -> ((op2 (e22) (e22)) = (e23)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e11) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e11) = (e12))) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (e21)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> (~((e10) = (e13))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H7f zenon_Hb zenon_H118 zenon_H11d zenon_H121 zenon_H97 zenon_Hbb zenon_H6c zenon_H6d zenon_Hbf zenon_H41 zenon_H3b zenon_Hb5 zenon_Hec zenon_H2f zenon_Hd1 zenon_H91 zenon_H15 zenon_H12c zenon_H4e zenon_Hda zenon_H124 zenon_H28 zenon_Hc8 zenon_H44 zenon_Hc zenon_H114 zenon_H9a. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/267.99 apply (zenon_L146_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/267.99 apply (zenon_L154_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/267.99 apply (zenon_L71_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/267.99 apply (zenon_L161_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/267.99 apply (zenon_L98_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/267.99 apply (zenon_L165_); trivial. % 267.81/267.99 apply (zenon_L166_); trivial. % 267.81/267.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/267.99 apply (zenon_L135_); trivial. % 267.81/267.99 apply (zenon_L136_); trivial. % 267.81/267.99 (* end of lemma zenon_L167_ *) % 267.81/267.99 assert (zenon_L168_ : (~((op1 (j (e23)) (j (e21))) = (op1 (e10) (e11)))) -> ((j (e21)) = (e11)) -> ((j (e23)) = (e10)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H133 zenon_H53 zenon_Hb7. % 267.81/267.99 cut (((j (e21)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 267.81/267.99 cut (((j (e23)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 267.81/267.99 congruence. % 267.81/267.99 exact (zenon_Hd7 zenon_Hb7). % 267.81/267.99 exact (zenon_H134 zenon_H53). % 267.81/267.99 (* end of lemma zenon_L168_ *) % 267.81/267.99 assert (zenon_L169_ : (~((op1 (j (e23)) (j (e21))) = (op1 (e14) (e14)))) -> ((op1 (e10) (e11)) = (e11)) -> ((j (e23)) = (e10)) -> ((j (e21)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.81/267.99 do 0 intro. intros zenon_H128 zenon_H11d zenon_Hb7 zenon_H53 zenon_H6d. % 267.81/267.99 cut (((op1 (e10) (e11)) = (e11)) = ((op1 (j (e23)) (j (e21))) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H128. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H11d. % 267.81/267.99 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.81/267.99 cut (((op1 (e10) (e11)) = (op1 (j (e23)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H135]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (j (e23)) (j (e21))) = (op1 (j (e23)) (j (e21))))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ]. % 267.81/267.99 cut (((op1 (j (e23)) (j (e21))) = (op1 (j (e23)) (j (e21)))) = ((op1 (e10) (e11)) = (op1 (j (e23)) (j (e21))))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H135. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H12a. % 267.81/267.99 cut (((op1 (j (e23)) (j (e21))) = (op1 (j (e23)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 267.81/267.99 cut (((op1 (j (e23)) (j (e21))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H133]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L168_); trivial. % 267.81/267.99 apply zenon_H12b. apply refl_equal. % 267.81/267.99 apply zenon_H12b. apply refl_equal. % 267.81/267.99 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.81/267.99 (* end of lemma zenon_L169_ *) % 267.81/267.99 assert (zenon_L170_ : ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e23)) = (e10)) -> ((j (e21)) = (e11)) -> (~((op1 (e14) (e14)) = (j (e24)))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H12c zenon_H124 zenon_H11d zenon_H6d zenon_Hb7 zenon_H53 zenon_He0. % 267.81/267.99 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_He1 | zenon_intro zenon_He2 ]. % 267.81/267.99 cut (((j (e24)) = (j (e24))) = ((op1 (e14) (e14)) = (j (e24)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He0. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He1. % 267.81/267.99 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 267.81/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H12c. % 267.81/267.99 cut (((op1 (j (e23)) (j (e21))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H128]. % 267.81/267.99 cut (((j (op2 (e23) (e21))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_He1 | zenon_intro zenon_He2 ]. % 267.81/267.99 cut (((j (e24)) = (j (e24))) = ((j (op2 (e23) (e21))) = (j (e24)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H12d. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He1. % 267.81/267.99 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 267.81/267.99 cut (((j (e24)) = (j (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L155_); trivial. % 267.81/267.99 apply zenon_He2. apply refl_equal. % 267.81/267.99 apply zenon_He2. apply refl_equal. % 267.81/267.99 apply (zenon_L169_); trivial. % 267.81/267.99 apply zenon_He2. apply refl_equal. % 267.81/267.99 apply zenon_He2. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L170_ *) % 267.81/267.99 assert (zenon_L171_ : ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (e21)) = (e11)) -> ((j (e23)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> ((j (e24)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H12c zenon_H53 zenon_Hb7 zenon_H6d zenon_H11d zenon_H124 zenon_He7 zenon_H15. % 267.81/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/267.99 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H15. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H1f. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8b. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/267.99 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8c. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H1f. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8d. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e24)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H8c. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He7. % 267.81/267.99 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_He3. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.81/267.99 congruence. % 267.81/267.99 apply (zenon_L170_); trivial. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_H7d. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_H14. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 apply zenon_Ha. apply refl_equal. % 267.81/267.99 (* end of lemma zenon_L171_ *) % 267.81/267.99 assert (zenon_L172_ : ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (e21)) = (e11)) -> ((j (e23)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> ((j (e24)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/267.99 do 0 intro. intros zenon_H12c zenon_H53 zenon_Hb7 zenon_H6d zenon_H11d zenon_H124 zenon_He8 zenon_H41. % 267.81/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/267.99 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H41. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H29. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H79. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H6d. % 267.81/267.99 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/267.99 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H7a. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H29. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H7b. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_H7c. % 267.81/267.99 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/267.99 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/267.99 congruence. % 267.81/267.99 cut (((j (e24)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/267.99 intro zenon_D_pnotp. % 267.81/267.99 apply zenon_H7a. % 267.81/267.99 rewrite <- zenon_D_pnotp. % 267.81/267.99 exact zenon_He8. % 267.81/267.99 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/267.99 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/267.99 congruence. % 267.81/267.99 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_He3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L170_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L172_ *) % 267.81/268.00 assert (zenon_L173_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (e21)) = (e11)) -> ((j (e23)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hec zenon_H2f zenon_Hd1 zenon_H91 zenon_H15 zenon_H41 zenon_H12c zenon_H53 zenon_Hb7 zenon_H6d zenon_H11d zenon_H124 zenon_H97. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.00 apply (zenon_L89_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.00 apply (zenon_L90_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.00 apply (zenon_L171_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.00 apply (zenon_L172_); trivial. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H97. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Ha3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Heb. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e24)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_He9. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_He3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L170_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L173_ *) % 267.81/268.00 assert (zenon_L174_ : (~((j (e23)) = (j (op2 (e21) (e24))))) -> ((op2 (e21) (e24)) = (e23)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H136 zenon_H137. % 267.81/268.00 cut (((e23) = (op2 (e21) (e24)))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 267.81/268.00 congruence. % 267.81/268.00 apply zenon_H138. apply sym_equal. exact zenon_H137. % 267.81/268.00 (* end of lemma zenon_L174_ *) % 267.81/268.00 assert (zenon_L175_ : (~((op1 (j (e21)) (j (e24))) = (op1 (e11) (e10)))) -> ((j (e24)) = (e10)) -> ((j (e21)) = (e11)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H139 zenon_Hd3 zenon_H53. % 267.81/268.00 cut (((j (e24)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 267.81/268.00 cut (((j (e21)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 267.81/268.00 congruence. % 267.81/268.00 exact (zenon_H134 zenon_H53). % 267.81/268.00 exact (zenon_H101 zenon_Hd3). % 267.81/268.00 (* end of lemma zenon_L175_ *) % 267.81/268.00 assert (zenon_L176_ : (~((op1 (j (e21)) (j (e24))) = (op1 (e14) (e14)))) -> ((op1 (e11) (e10)) = (e11)) -> ((j (e21)) = (e11)) -> ((j (e24)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H13a zenon_Hda zenon_H53 zenon_Hd3 zenon_H6d. % 267.81/268.00 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (j (e21)) (j (e24))) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H13a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hda. % 267.81/268.00 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.81/268.00 cut (((op1 (e11) (e10)) = (op1 (j (e21)) (j (e24))))); [idtac | apply NNPP; zenon_intro zenon_H13b]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (j (e21)) (j (e24))) = (op1 (j (e21)) (j (e24))))); [ zenon_intro zenon_H13c | zenon_intro zenon_H13d ]. % 267.81/268.00 cut (((op1 (j (e21)) (j (e24))) = (op1 (j (e21)) (j (e24)))) = ((op1 (e11) (e10)) = (op1 (j (e21)) (j (e24))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H13b. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H13c. % 267.81/268.00 cut (((op1 (j (e21)) (j (e24))) = (op1 (j (e21)) (j (e24))))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 267.81/268.00 cut (((op1 (j (e21)) (j (e24))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L175_); trivial. % 267.81/268.00 apply zenon_H13d. apply refl_equal. % 267.81/268.00 apply zenon_H13d. apply refl_equal. % 267.81/268.00 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.81/268.00 (* end of lemma zenon_L176_ *) % 267.81/268.00 assert (zenon_L177_ : ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((op2 (e21) (e24)) = (e23)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e11)) -> ((j (e24)) = (e10)) -> (~((op1 (e14) (e14)) = (j (e23)))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H13e zenon_H137 zenon_Hda zenon_H6d zenon_H53 zenon_Hd3 zenon_Hc0. % 267.81/268.00 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc2 ]. % 267.81/268.00 cut (((j (e23)) = (j (e23))) = ((op1 (e14) (e14)) = (j (e23)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc0. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc1. % 267.81/268.00 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 267.81/268.00 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H13e. % 267.81/268.00 cut (((op1 (j (e21)) (j (e24))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H13a]. % 267.81/268.00 cut (((j (op2 (e21) (e24))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H13f]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc2 ]. % 267.81/268.00 cut (((j (e23)) = (j (e23))) = ((j (op2 (e21) (e24))) = (j (e23)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H13f. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc1. % 267.81/268.00 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 267.81/268.00 cut (((j (e23)) = (j (op2 (e21) (e24))))); [idtac | apply NNPP; zenon_intro zenon_H136]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L174_); trivial. % 267.81/268.00 apply zenon_Hc2. apply refl_equal. % 267.81/268.00 apply zenon_Hc2. apply refl_equal. % 267.81/268.00 apply (zenon_L176_); trivial. % 267.81/268.00 apply zenon_Hc2. apply refl_equal. % 267.81/268.00 apply zenon_Hc2. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L177_ *) % 267.81/268.00 assert (zenon_L178_ : ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((j (e24)) = (e10)) -> ((j (e21)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e24)) = (e23)) -> ((j (e23)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H13e zenon_Hd3 zenon_H53 zenon_H6d zenon_Hda zenon_H137 zenon_Hc5 zenon_H15. % 267.81/268.00 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.00 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H15. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H1f. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H8b. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.00 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H8c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H1f. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H8d. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e23)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H8c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc5. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L177_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L178_ *) % 267.81/268.00 assert (zenon_L179_ : (~((op1 (j (e21)) (j (e22))) = (op1 (e11) (e10)))) -> ((j (e22)) = (e10)) -> ((j (e21)) = (e11)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H140 zenon_H62 zenon_H53. % 267.81/268.00 cut (((j (e22)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H141]. % 267.81/268.00 cut (((j (e21)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 267.81/268.00 congruence. % 267.81/268.00 exact (zenon_H134 zenon_H53). % 267.81/268.00 exact (zenon_H141 zenon_H62). % 267.81/268.00 (* end of lemma zenon_L179_ *) % 267.81/268.00 assert (zenon_L180_ : (~((op1 (j (e21)) (j (e22))) = (op1 (e14) (e14)))) -> ((op1 (e11) (e10)) = (e11)) -> ((j (e21)) = (e11)) -> ((j (e22)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H11c zenon_Hda zenon_H53 zenon_H62 zenon_H6d. % 267.81/268.00 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (j (e21)) (j (e22))) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H11c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hda. % 267.81/268.00 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.81/268.00 cut (((op1 (e11) (e10)) = (op1 (j (e21)) (j (e22))))); [idtac | apply NNPP; zenon_intro zenon_H142]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (j (e21)) (j (e22))) = (op1 (j (e21)) (j (e22))))); [ zenon_intro zenon_H11f | zenon_intro zenon_H120 ]. % 267.81/268.00 cut (((op1 (j (e21)) (j (e22))) = (op1 (j (e21)) (j (e22)))) = ((op1 (e11) (e10)) = (op1 (j (e21)) (j (e22))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H142. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11f. % 267.81/268.00 cut (((op1 (j (e21)) (j (e22))) = (op1 (j (e21)) (j (e22))))); [idtac | apply NNPP; zenon_intro zenon_H120]. % 267.81/268.00 cut (((op1 (j (e21)) (j (e22))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L179_); trivial. % 267.81/268.00 apply zenon_H120. apply refl_equal. % 267.81/268.00 apply zenon_H120. apply refl_equal. % 267.81/268.00 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.81/268.00 (* end of lemma zenon_L180_ *) % 267.81/268.00 assert (zenon_L181_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e11)) -> ((j (e22)) = (e10)) -> (~((op1 (e14) (e14)) = (j (e24)))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H121 zenon_H118 zenon_Hda zenon_H6d zenon_H53 zenon_H62 zenon_He0. % 267.81/268.00 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_He1 | zenon_intro zenon_He2 ]. % 267.81/268.00 cut (((j (e24)) = (j (e24))) = ((op1 (e14) (e14)) = (j (e24)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_He0. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_He1. % 267.81/268.00 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 267.81/268.00 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_He3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H121. % 267.81/268.00 cut (((op1 (j (e21)) (j (e22))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 267.81/268.00 cut (((j (op2 (e21) (e22))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_He1 | zenon_intro zenon_He2 ]. % 267.81/268.00 cut (((j (e24)) = (j (e24))) = ((j (op2 (e21) (e22))) = (j (e24)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H122. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_He1. % 267.81/268.00 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 267.81/268.00 cut (((j (e24)) = (j (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L147_); trivial. % 267.81/268.00 apply zenon_He2. apply refl_equal. % 267.81/268.00 apply zenon_He2. apply refl_equal. % 267.81/268.00 apply (zenon_L180_); trivial. % 267.81/268.00 apply zenon_He2. apply refl_equal. % 267.81/268.00 apply zenon_He2. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L181_ *) % 267.81/268.00 assert (zenon_L182_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e10)) -> ((j (e21)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> ((j (e24)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H121 zenon_H62 zenon_H53 zenon_H6d zenon_Hda zenon_H118 zenon_He7 zenon_H15. % 267.81/268.00 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.00 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H15. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H1f. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H8b. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.00 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H8c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H1f. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H8d. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e24)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H8c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_He7. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_He3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L181_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L182_ *) % 267.81/268.00 assert (zenon_L183_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e10)) -> ((j (e21)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> ((j (e24)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H121 zenon_H62 zenon_H53 zenon_H6d zenon_Hda zenon_H118 zenon_He8 zenon_H41. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H41. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H79. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7b. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e24)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_He8. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_He3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L181_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L183_ *) % 267.81/268.00 assert (zenon_L184_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e10)) -> ((j (e21)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> ((j (e24)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H121 zenon_H62 zenon_H53 zenon_H6d zenon_Hda zenon_H118 zenon_He9 zenon_H97. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H97. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Ha3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Heb. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e24)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_He9. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_He3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L181_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L184_ *) % 267.81/268.00 assert (zenon_L185_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (e23)) = (e12)) -> ((op2 (e21) (e24)) = (e23)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e10)) -> ((j (e21)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hec zenon_Hc5 zenon_H137 zenon_H13e zenon_Hd1 zenon_H91 zenon_H15 zenon_H41 zenon_H121 zenon_H62 zenon_H53 zenon_H6d zenon_Hda zenon_H118 zenon_H97. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.00 apply (zenon_L178_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.00 apply (zenon_L90_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.00 apply (zenon_L182_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.00 apply (zenon_L183_); trivial. % 267.81/268.00 apply (zenon_L184_); trivial. % 267.81/268.00 (* end of lemma zenon_L185_ *) % 267.81/268.00 assert (zenon_L186_ : ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((j (e24)) = (e10)) -> ((j (e21)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e24)) = (e23)) -> ((j (e23)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H13e zenon_Hd3 zenon_H53 zenon_H6d zenon_Hda zenon_H137 zenon_Hc6 zenon_H41. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H41. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H79. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7b. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e23)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc6. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L177_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L186_ *) % 267.81/268.00 assert (zenon_L187_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e11)) -> ((j (e22)) = (e10)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((op2 (e21) (e24)) = (e23)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (~((e13) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hc8 zenon_H124 zenon_H11d zenon_H12c zenon_H2f zenon_H97 zenon_H118 zenon_Hda zenon_H6d zenon_H53 zenon_H62 zenon_H121 zenon_H41 zenon_H15 zenon_H91 zenon_Hd1 zenon_H13e zenon_H137 zenon_Hec zenon_H3b zenon_Hb5 zenon_H47. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.00 apply (zenon_L173_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.00 apply (zenon_L72_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.00 apply (zenon_L185_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.00 apply (zenon_L186_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.00 apply (zenon_L90_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.00 apply (zenon_L182_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.00 apply (zenon_L183_); trivial. % 267.81/268.00 apply (zenon_L184_); trivial. % 267.81/268.00 apply (zenon_L78_); trivial. % 267.81/268.00 (* end of lemma zenon_L187_ *) % 267.81/268.00 assert (zenon_L188_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> ((h (e12)) = (e22)) -> ((j (h (e12))) = (e12)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H7f zenon_H87 zenon_H15 zenon_H44 zenon_H114 zenon_Hc zenon_H72 zenon_H55 zenon_H6d zenon_H6c zenon_H67 zenon_H97. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.00 apply (zenon_L87_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.00 apply (zenon_L134_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.00 apply (zenon_L107_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.00 apply (zenon_L135_); trivial. % 267.81/268.00 apply (zenon_L108_); trivial. % 267.81/268.00 (* end of lemma zenon_L188_ *) % 267.81/268.00 assert (zenon_L189_ : (~((e10) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> ((j (e24)) = (e10)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H28 zenon_H3b zenon_H10c zenon_Hd3. % 267.81/268.00 cut (((j (h (e13))) = (e13)) = ((e10) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H28. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H3b. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.81/268.00 cut (((e10) = (e10)) = ((j (h (e13))) = (e10))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H3c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hf. % 267.81/268.00 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.00 cut (((e10) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.81/268.00 cut (((j (h (e13))) = (j (h (e13)))) = ((e10) = (j (h (e13))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H3d. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H3e. % 267.81/268.00 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.81/268.00 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e24)) = (e10)) = ((j (h (e13))) = (e10))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H3c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hd3. % 267.81/268.00 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.00 cut (((j (e24)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.81/268.00 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e24)) = (j (h (e13))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H10e. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H3e. % 267.81/268.00 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.81/268.00 cut (((j (h (e13))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L122_); trivial. % 267.81/268.00 apply zenon_H3f. apply refl_equal. % 267.81/268.00 apply zenon_H3f. apply refl_equal. % 267.81/268.00 apply zenon_H9. apply refl_equal. % 267.81/268.00 apply zenon_H3f. apply refl_equal. % 267.81/268.00 apply zenon_H3f. apply refl_equal. % 267.81/268.00 apply zenon_H9. apply refl_equal. % 267.81/268.00 apply zenon_H9. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L189_ *) % 267.81/268.00 assert (zenon_L190_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e23)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hec zenon_H28 zenon_H15 zenon_H41 zenon_H124 zenon_Hda zenon_H6d zenon_Hb9 zenon_H4e zenon_H12c zenon_H3b zenon_H10c zenon_H47. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.00 apply (zenon_L189_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.00 apply (zenon_L123_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.00 apply (zenon_L159_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.00 apply (zenon_L160_); trivial. % 267.81/268.00 apply (zenon_L124_); trivial. % 267.81/268.00 (* end of lemma zenon_L190_ *) % 267.81/268.00 assert (zenon_L191_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e14))) -> ((op2 (e22) (e22)) = (e23)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e10) = (e14))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H7f zenon_Hb zenon_H97 zenon_Hbb zenon_H6c zenon_H6d zenon_Hbf zenon_H47 zenon_H91 zenon_Hcd zenon_Hec zenon_H28 zenon_H15 zenon_H41 zenon_H124 zenon_Hda zenon_H4e zenon_H12c zenon_H3b zenon_H10c zenon_H2f zenon_Hc8 zenon_H44 zenon_Hc zenon_H114 zenon_H9a. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.00 apply (zenon_L146_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.00 apply (zenon_L134_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.00 apply (zenon_L82_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.00 apply (zenon_L190_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.00 apply (zenon_L84_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.00 apply (zenon_L85_); trivial. % 267.81/268.00 apply (zenon_L166_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.00 apply (zenon_L135_); trivial. % 267.81/268.00 apply (zenon_L136_); trivial. % 267.81/268.00 (* end of lemma zenon_L191_ *) % 267.81/268.00 assert (zenon_L192_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e11)) -> ((j (e22)) = (e10)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hec zenon_H28 zenon_H15 zenon_H41 zenon_H118 zenon_Hda zenon_H6d zenon_H53 zenon_H62 zenon_H121 zenon_H3b zenon_H10c zenon_H47. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.00 apply (zenon_L189_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.00 apply (zenon_L123_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.00 apply (zenon_L182_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.00 apply (zenon_L183_); trivial. % 267.81/268.00 apply (zenon_L124_); trivial. % 267.81/268.00 (* end of lemma zenon_L192_ *) % 267.81/268.00 assert (zenon_L193_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e23)) = (e10)) -> ((j (e21)) = (e11)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hec zenon_H28 zenon_H15 zenon_H41 zenon_H124 zenon_H11d zenon_H6d zenon_Hb7 zenon_H53 zenon_H12c zenon_H3b zenon_H10c zenon_H47. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.00 apply (zenon_L189_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.00 apply (zenon_L123_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.00 apply (zenon_L171_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.00 apply (zenon_L172_); trivial. % 267.81/268.00 apply (zenon_L124_); trivial. % 267.81/268.00 (* end of lemma zenon_L193_ *) % 267.81/268.00 assert (zenon_L194_ : (((h (e13)) = (e20))\/(((h (e13)) = (e21))\/(((h (e13)) = (e22))\/(((h (e13)) = (e23))\/((h (e13)) = (e24)))))) -> ((op2 (e21) (e24)) = (e23)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> (((h (e14)) = (e20))\/(((h (e14)) = (e21))\/(((h (e14)) = (e22))\/(((h (e14)) = (e23))\/((h (e14)) = (e24)))))) -> ((h (e10)) = (e20)) -> ((j (h (e10))) = (e10)) -> (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> ((h (e12)) = (e22)) -> ((j (h (e12))) = (e12)) -> (~((e12) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((op2 (e21) (e22)) = (e24)) -> ((op2 (e22) (e22)) = (e23)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e13))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> (~((e10) = (e12))) -> (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((j (h (e13))) = (e13)) -> (~((e13) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H143 zenon_H137 zenon_H13e zenon_H10f zenon_H1b zenon_H1d zenon_H34 zenon_H114 zenon_Hc zenon_H44 zenon_H6d zenon_H72 zenon_H67 zenon_H15 zenon_H87 zenon_H7f zenon_H85 zenon_Hf1 zenon_Hf9 zenon_H107 zenon_H106 zenon_Hdf zenon_Hda zenon_Hde zenon_Hc8 zenon_H41 zenon_H6c zenon_H121 zenon_H118 zenon_Hbb zenon_Hbf zenon_H28 zenon_H124 zenon_H11d zenon_H12c zenon_Hb zenon_H5b zenon_Hec zenon_H2f zenon_H97 zenon_H9a zenon_H91 zenon_H3b zenon_H47. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.00 apply (zenon_L19_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.00 apply (zenon_L138_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.00 apply (zenon_L139_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.00 apply (zenon_L110_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.00 apply (zenon_L144_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.00 apply (zenon_L145_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.00 apply (zenon_L86_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.00 apply (zenon_L167_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.00 apply (zenon_L187_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.00 apply (zenon_L134_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.00 apply (zenon_L173_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.00 apply (zenon_L72_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.00 apply (zenon_L98_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.00 apply (zenon_L165_); trivial. % 267.81/268.00 apply (zenon_L166_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.00 apply (zenon_L135_); trivial. % 267.81/268.00 apply (zenon_L79_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.00 apply (zenon_L188_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.00 apply (zenon_L137_); trivial. % 267.81/268.00 apply (zenon_L143_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.00 apply (zenon_L110_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.00 apply (zenon_L144_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.00 apply (zenon_L145_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.00 apply (zenon_L191_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.00 apply (zenon_L192_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.00 apply (zenon_L134_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.00 apply (zenon_L193_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.00 apply (zenon_L83_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.00 apply (zenon_L84_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.00 apply (zenon_L85_); trivial. % 267.81/268.00 apply (zenon_L166_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.00 apply (zenon_L135_); trivial. % 267.81/268.00 apply (zenon_L136_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.00 apply (zenon_L126_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.00 apply (zenon_L137_); trivial. % 267.81/268.00 apply (zenon_L143_); trivial. % 267.81/268.00 apply (zenon_L130_); trivial. % 267.81/268.00 (* end of lemma zenon_L194_ *) % 267.81/268.00 assert (zenon_L195_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e20)) -> ((j (e20)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Ha2 zenon_Ha0 zenon_H27 zenon_H41. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H41. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (h (e11))) = (e11)) = ((e13) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H79. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Ha2. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H147]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((j (h (e11))) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H147. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.00 cut (((j (h (e11))) = (j (h (e11)))) = ((e13) = (j (h (e11))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H148. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Ha6. % 267.81/268.00 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.00 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H147]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e20)) = (e13)) = ((j (h (e11))) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H147. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H27. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((j (e20)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.00 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e20)) = (j (h (e11))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Ha8. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Ha6. % 267.81/268.00 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.00 cut (((j (h (e11))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L57_); trivial. % 267.81/268.00 apply zenon_Ha7. apply refl_equal. % 267.81/268.00 apply zenon_Ha7. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_Ha7. apply refl_equal. % 267.81/268.00 apply zenon_Ha7. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L195_ *) % 267.81/268.00 assert (zenon_L196_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e10) = (e13))) -> ((h (e13)) = (e20)) -> ((j (h (e13))) = (e13)) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e20)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H34 zenon_H28 zenon_H39 zenon_H3b zenon_H44 zenon_H41 zenon_Ha2 zenon_Ha0 zenon_H97. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 267.81/268.00 apply (zenon_L15_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 267.81/268.00 apply (zenon_L16_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 267.81/268.00 apply (zenon_L17_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 267.81/268.00 apply (zenon_L195_); trivial. % 267.81/268.00 apply (zenon_L58_); trivial. % 267.81/268.00 (* end of lemma zenon_L196_ *) % 267.81/268.00 assert (zenon_L197_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e21)) -> ((j (h (e14))) = (e14)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> (~((e13) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H5b zenon_H2f zenon_H97 zenon_H9a zenon_Haa zenon_H91 zenon_H3b zenon_H4c zenon_H47. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.00 apply (zenon_L140_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.00 apply (zenon_L141_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.00 apply (zenon_L61_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.00 apply (zenon_L62_); trivial. % 267.81/268.00 apply (zenon_L26_); trivial. % 267.81/268.00 (* end of lemma zenon_L197_ *) % 267.81/268.00 assert (zenon_L198_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e13))) -> ((h (e13)) = (e21)) -> ((j (h (e13))) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> (~((e12) = (e14))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e10) = (e11))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H5b zenon_H28 zenon_H4c zenon_H3b zenon_H6c zenon_H9a zenon_H85 zenon_H87 zenon_H7f zenon_H2f zenon_Hb1 zenon_H91 zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H67 zenon_H97. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.00 apply (zenon_L21_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.00 apply (zenon_L132_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.00 apply (zenon_L111_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.00 apply (zenon_L114_); trivial. % 267.81/268.00 apply (zenon_L116_); trivial. % 267.81/268.00 (* end of lemma zenon_L198_ *) % 267.81/268.00 assert (zenon_L199_ : (~((j (h (e12))) = (j (e23)))) -> ((h (e12)) = (e23)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H149 zenon_H14a. % 267.81/268.00 cut (((h (e12)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 267.81/268.00 congruence. % 267.81/268.00 exact (zenon_H14b zenon_H14a). % 267.81/268.00 (* end of lemma zenon_L199_ *) % 267.81/268.00 assert (zenon_L200_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e12) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hc zenon_H14a zenon_Hc7 zenon_H9a. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((e12) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H9a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (h (e12))) = (e12)) = ((e14) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Had. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((j (h (e12))) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hae. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((e14) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Haf. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e23)) = (e14)) = ((j (h (e12))) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hae. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc7. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((j (e23)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e23)) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H14c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L199_); trivial. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L200_ *) % 267.81/268.00 assert (zenon_L201_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> (~((e12) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hc8 zenon_H2f zenon_H97 zenon_Hcd zenon_H91 zenon_H47 zenon_Hc zenon_H14a zenon_H9a. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.00 apply (zenon_L82_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.00 apply (zenon_L83_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.00 apply (zenon_L84_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.00 apply (zenon_L85_); trivial. % 267.81/268.00 apply (zenon_L200_); trivial. % 267.81/268.00 (* end of lemma zenon_L201_ *) % 267.81/268.00 assert (zenon_L202_ : (~((e11) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> ((j (e23)) = (e11)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H15 zenon_Hc zenon_H14a zenon_Hb9. % 267.81/268.00 cut (((j (h (e12))) = (e12)) = ((e11) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H15. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/268.00 cut (((e11) = (e11)) = ((j (h (e12))) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H17. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H18. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((e11) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((e11) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H19. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e23)) = (e11)) = ((j (h (e12))) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H17. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hb9. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((j (e23)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e23)) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H14c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L199_); trivial. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L202_ *) % 267.81/268.00 assert (zenon_L203_ : (~((op1 (j (e23)) (j (e23))) = (op1 (e12) (e12)))) -> ((j (e23)) = (e12)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H14d zenon_Hc5. % 267.81/268.00 cut (((j (e23)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 267.81/268.00 cut (((j (e23)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 267.81/268.00 congruence. % 267.81/268.00 exact (zenon_H14e zenon_Hc5). % 267.81/268.00 exact (zenon_H14e zenon_Hc5). % 267.81/268.00 (* end of lemma zenon_L203_ *) % 267.81/268.00 assert (zenon_L204_ : (~((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))) -> ((op1 (e12) (e12)) = (e11)) -> ((j (e23)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hf5 zenon_H6c zenon_Hc5 zenon_H6d. % 267.81/268.00 cut (((op1 (e12) (e12)) = (e11)) = ((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hf5. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6c. % 267.81/268.00 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.81/268.00 cut (((op1 (e12) (e12)) = (op1 (j (e23)) (j (e23))))); [idtac | apply NNPP; zenon_intro zenon_H14f]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (j (e23)) (j (e23))) = (op1 (j (e23)) (j (e23))))); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf8 ]. % 267.81/268.00 cut (((op1 (j (e23)) (j (e23))) = (op1 (j (e23)) (j (e23)))) = ((op1 (e12) (e12)) = (op1 (j (e23)) (j (e23))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H14f. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hf7. % 267.81/268.00 cut (((op1 (j (e23)) (j (e23))) = (op1 (j (e23)) (j (e23))))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 267.81/268.00 cut (((op1 (j (e23)) (j (e23))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H14d]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L203_); trivial. % 267.81/268.00 apply zenon_Hf8. apply refl_equal. % 267.81/268.00 apply zenon_Hf8. apply refl_equal. % 267.81/268.00 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.81/268.00 (* end of lemma zenon_L204_ *) % 267.81/268.00 assert (zenon_L205_ : ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e23)) = (e12)) -> (~((op1 (e14) (e14)) = (j (e21)))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hf9 zenon_Hf1 zenon_H6c zenon_H6d zenon_Hc5 zenon_Hfa. % 267.81/268.00 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ]. % 267.81/268.00 cut (((j (e21)) = (j (e21))) = ((op1 (e14) (e14)) = (j (e21)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hfa. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hfb. % 267.81/268.00 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 267.81/268.00 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hfd. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hf9. % 267.81/268.00 cut (((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 267.81/268.00 cut (((j (op2 (e23) (e23))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfe]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ]. % 267.81/268.00 cut (((j (e21)) = (j (e21))) = ((j (op2 (e23) (e23))) = (j (e21)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hfe. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hfb. % 267.81/268.00 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 267.81/268.00 cut (((j (e21)) = (j (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_Hf0]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L99_); trivial. % 267.81/268.00 apply zenon_Hfc. apply refl_equal. % 267.81/268.00 apply zenon_Hfc. apply refl_equal. % 267.81/268.00 apply (zenon_L204_); trivial. % 267.81/268.00 apply zenon_Hfc. apply refl_equal. % 267.81/268.00 apply zenon_Hfc. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L205_ *) % 267.81/268.00 assert (zenon_L206_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> ((j (e23)) = (e13)) -> (~((e12) = (e13))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hc zenon_H14a zenon_Hc6 zenon_H44. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((e12) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H44. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (h (e12))) = (e12)) = ((e13) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H57. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((j (h (e12))) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H58. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((e13) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H59. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e23)) = (e13)) = ((j (h (e12))) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H58. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc6. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((j (e23)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e23)) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H14c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L199_); trivial. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L206_ *) % 267.81/268.00 assert (zenon_L207_ : ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (e23)) = (e14)) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H6d zenon_Hf9 zenon_Hc7 zenon_Hf1 zenon_H56 zenon_H41. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H41. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H79. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7b. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e21)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H56. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hfd. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L104_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L207_ *) % 267.81/268.00 assert (zenon_L208_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e14))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (e22)) = (e11)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> (~((e10) = (e14))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e12) = (e13))) -> ((h (e12)) = (e23)) -> ((j (h (e12))) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hc8 zenon_H97 zenon_Hdf zenon_Hda zenon_H64 zenon_Hde zenon_H91 zenon_Hd1 zenon_H2f zenon_Hec zenon_H15 zenon_H6c zenon_H44 zenon_H14a zenon_Hc zenon_H6d zenon_Hf9 zenon_Hf1 zenon_H56 zenon_H41. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.00 apply (zenon_L97_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.00 apply (zenon_L202_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H41. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H79. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7b. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e21)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H56. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hfd. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L205_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.00 apply (zenon_L206_); trivial. % 267.81/268.00 apply (zenon_L207_); trivial. % 267.81/268.00 (* end of lemma zenon_L208_ *) % 267.81/268.00 assert (zenon_L209_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> (~((e12) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H7f zenon_H87 zenon_Hf1 zenon_Hf9 zenon_Hc zenon_H14a zenon_H44 zenon_H6c zenon_Hec zenon_H2f zenon_Hd1 zenon_H91 zenon_Hde zenon_Hda zenon_Hdf zenon_Hc8 zenon_H15 zenon_H41 zenon_H72 zenon_H56 zenon_H6d zenon_H85 zenon_H67 zenon_H97. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.00 apply (zenon_L43_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.00 apply (zenon_L208_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.00 apply (zenon_L112_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.00 apply (zenon_L44_); trivial. % 267.81/268.00 apply (zenon_L113_); trivial. % 267.81/268.00 (* end of lemma zenon_L209_ *) % 267.81/268.00 assert (zenon_L210_ : (~((e10) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> ((j (e23)) = (e10)) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hb zenon_Hc zenon_H14a zenon_Hb7. % 267.81/268.00 cut (((j (h (e12))) = (e12)) = ((e10) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hb. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.81/268.00 cut (((e10) = (e10)) = ((j (h (e12))) = (e10))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_He. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hf. % 267.81/268.00 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.00 cut (((e10) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H10]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((e10) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H10. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e23)) = (e10)) = ((j (h (e12))) = (e10))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_He. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hb7. % 267.81/268.00 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.00 cut (((j (e23)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e23)) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H14c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L199_); trivial. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H9. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H9. apply refl_equal. % 267.81/268.00 apply zenon_H9. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L210_ *) % 267.81/268.00 assert (zenon_L211_ : (~((op1 (j (e22)) (j (e22))) = (op1 (e13) (e13)))) -> ((j (e22)) = (e13)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H150 zenon_H78. % 267.81/268.00 cut (((j (e22)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 267.81/268.00 cut (((j (e22)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 267.81/268.00 congruence. % 267.81/268.00 exact (zenon_H151 zenon_H78). % 267.81/268.00 exact (zenon_H151 zenon_H78). % 267.81/268.00 (* end of lemma zenon_L211_ *) % 267.81/268.00 assert (zenon_L212_ : (~((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))) -> ((op1 (e13) (e13)) = (e11)) -> ((j (e22)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hbd zenon_H85 zenon_H78 zenon_H6d. % 267.81/268.00 cut (((op1 (e13) (e13)) = (e11)) = ((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hbd. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H85. % 267.81/268.00 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.81/268.00 cut (((op1 (e13) (e13)) = (op1 (j (e22)) (j (e22))))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (j (e22)) (j (e22))) = (op1 (j (e22)) (j (e22))))); [ zenon_intro zenon_H131 | zenon_intro zenon_H132 ]. % 267.81/268.00 cut (((op1 (j (e22)) (j (e22))) = (op1 (j (e22)) (j (e22)))) = ((op1 (e13) (e13)) = (op1 (j (e22)) (j (e22))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H152. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H131. % 267.81/268.00 cut (((op1 (j (e22)) (j (e22))) = (op1 (j (e22)) (j (e22))))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 267.81/268.00 cut (((op1 (j (e22)) (j (e22))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L211_); trivial. % 267.81/268.00 apply zenon_H132. apply refl_equal. % 267.81/268.00 apply zenon_H132. apply refl_equal. % 267.81/268.00 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.81/268.00 (* end of lemma zenon_L212_ *) % 267.81/268.00 assert (zenon_L213_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e22)) = (e13)) -> (~((op1 (e14) (e14)) = (j (e23)))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hbf zenon_Hbb zenon_H85 zenon_H6d zenon_H78 zenon_Hc0. % 267.81/268.00 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc2 ]. % 267.81/268.00 cut (((j (e23)) = (j (e23))) = ((op1 (e14) (e14)) = (j (e23)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc0. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc1. % 267.81/268.00 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 267.81/268.00 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hbf. % 267.81/268.00 cut (((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hbd]. % 267.81/268.00 cut (((j (op2 (e22) (e22))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc2 ]. % 267.81/268.00 cut (((j (e23)) = (j (e23))) = ((j (op2 (e22) (e22))) = (j (e23)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc4. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc1. % 267.81/268.00 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 267.81/268.00 cut (((j (e23)) = (j (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L73_); trivial. % 267.81/268.00 apply zenon_Hc2. apply refl_equal. % 267.81/268.00 apply zenon_Hc2. apply refl_equal. % 267.81/268.00 apply (zenon_L212_); trivial. % 267.81/268.00 apply zenon_Hc2. apply refl_equal. % 267.81/268.00 apply zenon_Hc2. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L213_ *) % 267.81/268.00 assert (zenon_L214_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e22) (e22)) = (e23)) -> ((j (e23)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hbf zenon_H78 zenon_H6d zenon_H85 zenon_Hbb zenon_Hc5 zenon_H15. % 267.81/268.00 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.00 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H15. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H1f. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H8b. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.00 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H8c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H1f. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H8d. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e23)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H8c. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc5. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L213_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L214_ *) % 267.81/268.00 assert (zenon_L215_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e22) (e22)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hbf zenon_H78 zenon_H6d zenon_H85 zenon_Hbb zenon_Hc7 zenon_H97. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H97. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Ha3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Heb. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e23)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc7. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L213_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L215_ *) % 267.81/268.00 assert (zenon_L216_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((e11) = (e14))) -> ((op2 (e22) (e22)) = (e23)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H7f zenon_H28 zenon_H41 zenon_H97 zenon_Hbb zenon_H85 zenon_H6d zenon_Hbf zenon_Hc zenon_H14a zenon_H44 zenon_H15 zenon_Hb zenon_Hc8 zenon_H3b zenon_H60 zenon_H47. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.00 apply (zenon_L30_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.00 apply (zenon_L31_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.00 apply (zenon_L32_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.00 apply (zenon_L210_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.00 apply (zenon_L202_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.00 apply (zenon_L214_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.00 apply (zenon_L206_); trivial. % 267.81/268.00 apply (zenon_L215_); trivial. % 267.81/268.00 apply (zenon_L38_); trivial. % 267.81/268.00 (* end of lemma zenon_L216_ *) % 267.81/268.00 assert (zenon_L217_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> ((h (e12)) = (e23)) -> ((j (h (e12))) = (e12)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (~((e13) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hc8 zenon_H28 zenon_H41 zenon_H44 zenon_H14a zenon_Hc zenon_H3b zenon_Hb5 zenon_H47. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.00 apply (zenon_L71_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.00 apply (zenon_L72_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.00 apply (zenon_L98_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.00 apply (zenon_L206_); trivial. % 267.81/268.00 apply (zenon_L78_); trivial. % 267.81/268.00 (* end of lemma zenon_L217_ *) % 267.81/268.00 assert (zenon_L218_ : ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((j (e24)) = (e10)) -> ((j (e22)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e24)) = (e21)) -> ((j (e21)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H106 zenon_Hd3 zenon_H64 zenon_H6d zenon_Hda zenon_H107 zenon_H5a zenon_H97. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H97. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Ha3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Heb. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e21)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H5a. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hfd. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L120_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L218_ *) % 267.81/268.00 assert (zenon_L219_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (e21)) = (e14)) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((h (e13)) = (e24)) -> ((j (h (e13))) = (e13)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (e23)) = (e10)) -> ((j (e22)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hec zenon_H5a zenon_H107 zenon_H106 zenon_H10c zenon_H3b zenon_H15 zenon_H41 zenon_Hde zenon_Hb7 zenon_H64 zenon_H6d zenon_Hda zenon_Hdf zenon_H97. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.00 apply (zenon_L218_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.00 apply (zenon_L123_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.00 apply (zenon_L94_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.00 apply (zenon_L95_); trivial. % 267.81/268.00 apply (zenon_L96_); trivial. % 267.81/268.00 (* end of lemma zenon_L219_ *) % 267.81/268.00 assert (zenon_L220_ : ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (e23)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hf9 zenon_Hc6 zenon_H6d zenon_H85 zenon_Hf1 zenon_H5a zenon_H97. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H97. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Ha3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Heb. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e21)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H5a. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hfd. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L102_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L220_ *) % 267.81/268.00 assert (zenon_L221_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e12) = (e14))) -> ((h (e12)) = (e23)) -> ((j (h (e12))) = (e12)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e12) (e12)) = (e11)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((h (e13)) = (e24)) -> ((j (h (e13))) = (e13)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H7f zenon_H87 zenon_H9a zenon_H14a zenon_Hc zenon_Hf9 zenon_H85 zenon_Hf1 zenon_H6c zenon_Hec zenon_H107 zenon_H106 zenon_H10c zenon_H3b zenon_Hde zenon_Hda zenon_Hdf zenon_Hc8 zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H5a zenon_H67 zenon_H97. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.00 apply (zenon_L142_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.00 apply (zenon_L219_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.00 apply (zenon_L202_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H97. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Ha3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Heb. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e21)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H5a. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hfd. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L205_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.00 apply (zenon_L220_); trivial. % 267.81/268.00 apply (zenon_L200_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.00 apply (zenon_L48_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.00 apply (zenon_L49_); trivial. % 267.81/268.00 apply (zenon_L115_); trivial. % 267.81/268.00 (* end of lemma zenon_L221_ *) % 267.81/268.00 assert (zenon_L222_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op2 (e22) (e22)) = (e23)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> (~((e12) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H7f zenon_H2f zenon_H97 zenon_Hb1 zenon_H91 zenon_H47 zenon_Hc8 zenon_Hb zenon_H15 zenon_H41 zenon_Hbb zenon_Hbf zenon_H6d zenon_Hc zenon_H14a zenon_H9a. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.00 apply (zenon_L66_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.00 apply (zenon_L67_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.00 apply (zenon_L68_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.00 apply (zenon_L69_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.00 apply (zenon_L210_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.00 apply (zenon_L202_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.00 apply (zenon_L76_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.00 apply (zenon_L77_); trivial. % 267.81/268.00 apply (zenon_L200_); trivial. % 267.81/268.00 (* end of lemma zenon_L222_ *) % 267.81/268.00 assert (zenon_L223_ : (((h (e14)) = (e20))\/(((h (e14)) = (e21))\/(((h (e14)) = (e22))\/(((h (e14)) = (e23))\/((h (e14)) = (e24)))))) -> ((h (e10)) = (e20)) -> ((j (h (e10))) = (e10)) -> (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e24)) = (e21)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e13) (e13)) = (e11)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e10) = (e11))) -> (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((h (e12)) = (e23)) -> ((j (h (e12))) = (e12)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H10f zenon_H1b zenon_H1d zenon_H34 zenon_H67 zenon_H72 zenon_Hdf zenon_Hda zenon_Hde zenon_H106 zenon_H107 zenon_H6c zenon_Hf1 zenon_H85 zenon_Hf9 zenon_H87 zenon_H5b zenon_H6d zenon_Hbf zenon_Hbb zenon_H41 zenon_H15 zenon_Hb zenon_H7f zenon_H14a zenon_Hc zenon_Hc8 zenon_Hec zenon_H2f zenon_H97 zenon_H9a zenon_H91 zenon_H3b zenon_H10c zenon_H47. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.00 apply (zenon_L110_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.00 apply (zenon_L140_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.00 apply (zenon_L141_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.00 apply (zenon_L61_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.00 apply (zenon_L62_); trivial. % 267.81/268.00 apply (zenon_L221_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.00 apply (zenon_L222_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.00 apply (zenon_L201_); trivial. % 267.81/268.00 apply (zenon_L130_); trivial. % 267.81/268.00 (* end of lemma zenon_L223_ *) % 267.81/268.00 assert (zenon_L224_ : ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((j (e24)) = (e10)) -> ((j (e22)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e24)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H106 zenon_Hd3 zenon_H64 zenon_H6d zenon_Hda zenon_H107 zenon_H56 zenon_H41. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H41. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H79. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7b. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e21)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H56. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hfd. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L120_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L224_ *) % 267.81/268.00 assert (zenon_L225_ : (~((j (h (e12))) = (j (e24)))) -> ((h (e12)) = (e24)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H153 zenon_H154. % 267.81/268.00 cut (((h (e12)) = (e24))); [idtac | apply NNPP; zenon_intro zenon_H155]. % 267.81/268.00 congruence. % 267.81/268.00 exact (zenon_H155 zenon_H154). % 267.81/268.00 (* end of lemma zenon_L225_ *) % 267.81/268.00 assert (zenon_L226_ : (~((e11) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> ((j (e24)) = (e11)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H15 zenon_Hc zenon_H154 zenon_Hd5. % 267.81/268.00 cut (((j (h (e12))) = (e12)) = ((e11) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H15. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/268.00 cut (((e11) = (e11)) = ((j (h (e12))) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H17. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H18. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((e11) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((e11) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H19. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e24)) = (e11)) = ((j (h (e12))) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H17. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hd5. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((j (e24)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e24)) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H156. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L225_); trivial. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L226_ *) % 267.81/268.00 assert (zenon_L227_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> ((j (e24)) = (e13)) -> (~((e12) = (e13))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hc zenon_H154 zenon_He8 zenon_H44. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((e12) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H44. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (h (e12))) = (e12)) = ((e13) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H57. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((j (h (e12))) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H58. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((e13) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H59. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e24)) = (e13)) = ((j (h (e12))) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H58. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_He8. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((j (e24)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e24)) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H156. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L225_); trivial. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L227_ *) % 267.81/268.00 assert (zenon_L228_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> ((j (e24)) = (e14)) -> (~((e12) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hc zenon_H154 zenon_He9 zenon_H9a. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((e12) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H9a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (h (e12))) = (e12)) = ((e14) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Had. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((j (h (e12))) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hae. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((e14) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Haf. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e24)) = (e14)) = ((j (h (e12))) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hae. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_He9. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((j (e24)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e24)) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H156. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L225_); trivial. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L228_ *) % 267.81/268.00 assert (zenon_L229_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e13))) -> ((j (e21)) = (e13)) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> (~((e11) = (e12))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e22)) = (e11)) -> ((j (e23)) = (e10)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hec zenon_H41 zenon_H56 zenon_H107 zenon_H106 zenon_H15 zenon_Hdf zenon_Hda zenon_H6d zenon_H64 zenon_Hb7 zenon_Hde zenon_H44 zenon_Hc zenon_H154 zenon_H9a. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.00 apply (zenon_L224_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.00 apply (zenon_L226_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.00 apply (zenon_L94_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.00 apply (zenon_L227_); trivial. % 267.81/268.00 apply (zenon_L228_); trivial. % 267.81/268.00 (* end of lemma zenon_L229_ *) % 267.81/268.00 assert (zenon_L230_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((h (e12)) = (e24)) -> ((j (h (e12))) = (e12)) -> (~((e12) = (e13))) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (e22)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (~((e11) = (e12))) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hc8 zenon_H154 zenon_Hc zenon_H44 zenon_Hde zenon_H64 zenon_Hda zenon_Hdf zenon_H15 zenon_H106 zenon_H107 zenon_Hec zenon_H97 zenon_H9a zenon_Hcd zenon_H91 zenon_H47 zenon_H6d zenon_Hf9 zenon_Hf1 zenon_H56 zenon_H41. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.00 apply (zenon_L229_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.00 apply (zenon_L83_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.00 apply (zenon_L84_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.00 apply (zenon_L85_); trivial. % 267.81/268.00 apply (zenon_L207_); trivial. % 267.81/268.00 (* end of lemma zenon_L230_ *) % 267.81/268.00 assert (zenon_L231_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> (~((e12) = (e14))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H7f zenon_H87 zenon_Hf1 zenon_Hf9 zenon_H47 zenon_H91 zenon_Hcd zenon_H9a zenon_Hec zenon_H107 zenon_H106 zenon_Hdf zenon_Hda zenon_Hde zenon_H44 zenon_Hc zenon_H154 zenon_Hc8 zenon_H15 zenon_H41 zenon_H72 zenon_H56 zenon_H6d zenon_H85 zenon_H67 zenon_H97. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.00 apply (zenon_L43_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.00 apply (zenon_L230_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.00 apply (zenon_L112_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.00 apply (zenon_L44_); trivial. % 267.81/268.00 apply (zenon_L113_); trivial. % 267.81/268.00 (* end of lemma zenon_L231_ *) % 267.81/268.00 assert (zenon_L232_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hec zenon_H2f zenon_H97 zenon_Hd1 zenon_H91 zenon_H47 zenon_Hc zenon_H154 zenon_H9a. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.00 apply (zenon_L89_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.00 apply (zenon_L90_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.00 apply (zenon_L128_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.00 apply (zenon_L129_); trivial. % 267.81/268.00 apply (zenon_L228_); trivial. % 267.81/268.00 (* end of lemma zenon_L232_ *) % 267.81/268.00 assert (zenon_L233_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e21)) -> ((j (h (e14))) = (e14)) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H5b zenon_H2f zenon_H97 zenon_H9a zenon_Haa zenon_H91 zenon_H7f zenon_H28 zenon_H15 zenon_H41 zenon_H67 zenon_H72 zenon_H6d zenon_H3b zenon_H60 zenon_H47. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.00 apply (zenon_L140_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.00 apply (zenon_L141_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.00 apply (zenon_L61_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.00 apply (zenon_L62_); trivial. % 267.81/268.00 apply (zenon_L50_); trivial. % 267.81/268.00 (* end of lemma zenon_L233_ *) % 267.81/268.00 assert (zenon_L234_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H7f zenon_H2f zenon_H97 zenon_H9a zenon_Hb1 zenon_H91 zenon_H3b zenon_H60 zenon_H47. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.00 apply (zenon_L66_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.00 apply (zenon_L67_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.00 apply (zenon_L68_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.00 apply (zenon_L69_); trivial. % 267.81/268.00 apply (zenon_L38_); trivial. % 267.81/268.00 (* end of lemma zenon_L234_ *) % 267.81/268.00 assert (zenon_L235_ : (~((e10) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> ((j (e24)) = (e10)) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hb zenon_Hc zenon_H154 zenon_Hd3. % 267.81/268.00 cut (((j (h (e12))) = (e12)) = ((e10) = (e12))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hb. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc. % 267.81/268.00 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.00 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.81/268.00 cut (((e10) = (e10)) = ((j (h (e12))) = (e10))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_He. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hf. % 267.81/268.00 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.00 cut (((e10) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H10]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((e10) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H10. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e24)) = (e10)) = ((j (h (e12))) = (e10))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_He. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hd3. % 267.81/268.00 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.00 cut (((j (e24)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e24)) = (j (h (e12))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H156. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11. % 267.81/268.00 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.00 cut (((j (h (e12))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L225_); trivial. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H9. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H12. apply refl_equal. % 267.81/268.00 apply zenon_H9. apply refl_equal. % 267.81/268.00 apply zenon_H9. apply refl_equal. % 267.81/268.00 apply zenon_Ha. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L235_ *) % 267.81/268.00 assert (zenon_L236_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e23)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hec zenon_Hb zenon_H15 zenon_H124 zenon_Hda zenon_H6d zenon_Hb9 zenon_H4e zenon_H12c zenon_H44 zenon_Hc zenon_H154 zenon_H9a. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.00 apply (zenon_L235_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.00 apply (zenon_L226_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.00 apply (zenon_L159_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.00 apply (zenon_L227_); trivial. % 267.81/268.00 apply (zenon_L228_); trivial. % 267.81/268.00 (* end of lemma zenon_L236_ *) % 267.81/268.00 assert (zenon_L237_ : (~((op1 (j (e21)) (j (e24))) = (op1 (e10) (e11)))) -> ((j (e24)) = (e11)) -> ((j (e21)) = (e10)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H157 zenon_Hd5 zenon_H4e. % 267.81/268.00 cut (((j (e24)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H158]. % 267.81/268.00 cut (((j (e21)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H11b]. % 267.81/268.00 congruence. % 267.81/268.00 exact (zenon_H11b zenon_H4e). % 267.81/268.00 exact (zenon_H158 zenon_Hd5). % 267.81/268.00 (* end of lemma zenon_L237_ *) % 267.81/268.00 assert (zenon_L238_ : (~((op1 (j (e21)) (j (e24))) = (op1 (e14) (e14)))) -> ((op1 (e10) (e11)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (e24)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> False). % 267.81/268.00 do 0 intro. intros zenon_H13a zenon_H11d zenon_H4e zenon_Hd5 zenon_H6d. % 267.81/268.00 cut (((op1 (e10) (e11)) = (e11)) = ((op1 (j (e21)) (j (e24))) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H13a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H11d. % 267.81/268.00 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 267.81/268.00 cut (((op1 (e10) (e11)) = (op1 (j (e21)) (j (e24))))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (j (e21)) (j (e24))) = (op1 (j (e21)) (j (e24))))); [ zenon_intro zenon_H13c | zenon_intro zenon_H13d ]. % 267.81/268.00 cut (((op1 (j (e21)) (j (e24))) = (op1 (j (e21)) (j (e24)))) = ((op1 (e10) (e11)) = (op1 (j (e21)) (j (e24))))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H159. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H13c. % 267.81/268.00 cut (((op1 (j (e21)) (j (e24))) = (op1 (j (e21)) (j (e24))))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 267.81/268.00 cut (((op1 (j (e21)) (j (e24))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L237_); trivial. % 267.81/268.00 apply zenon_H13d. apply refl_equal. % 267.81/268.00 apply zenon_H13d. apply refl_equal. % 267.81/268.00 apply zenon_H6e. apply sym_equal. exact zenon_H6d. % 267.81/268.00 (* end of lemma zenon_L238_ *) % 267.81/268.00 assert (zenon_L239_ : ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((op2 (e21) (e24)) = (e23)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (e24)) = (e11)) -> (~((op1 (e14) (e14)) = (j (e23)))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H13e zenon_H137 zenon_H11d zenon_H6d zenon_H4e zenon_Hd5 zenon_Hc0. % 267.81/268.00 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc2 ]. % 267.81/268.00 cut (((j (e23)) = (j (e23))) = ((op1 (e14) (e14)) = (j (e23)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc0. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc1. % 267.81/268.00 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 267.81/268.00 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H13e. % 267.81/268.00 cut (((op1 (j (e21)) (j (e24))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H13a]. % 267.81/268.00 cut (((j (op2 (e21) (e24))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H13f]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc2 ]. % 267.81/268.00 cut (((j (e23)) = (j (e23))) = ((j (op2 (e21) (e24))) = (j (e23)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H13f. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc1. % 267.81/268.00 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 267.81/268.00 cut (((j (e23)) = (j (op2 (e21) (e24))))); [idtac | apply NNPP; zenon_intro zenon_H136]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L174_); trivial. % 267.81/268.00 apply zenon_Hc2. apply refl_equal. % 267.81/268.00 apply zenon_Hc2. apply refl_equal. % 267.81/268.00 apply (zenon_L238_); trivial. % 267.81/268.00 apply zenon_Hc2. apply refl_equal. % 267.81/268.00 apply zenon_Hc2. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L239_ *) % 267.81/268.00 assert (zenon_L240_ : ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((j (e24)) = (e11)) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e24)) = (e23)) -> ((j (e23)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H13e zenon_Hd5 zenon_H4e zenon_H6d zenon_H11d zenon_H137 zenon_Hc6 zenon_H41. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H41. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e13) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H79. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.00 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H29. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7b. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e23)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H7a. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc6. % 267.81/268.00 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.00 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L239_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 apply zenon_H26. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L240_ *) % 267.81/268.00 assert (zenon_L241_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> ((j (e23)) = (e13)) -> ((op2 (e21) (e24)) = (e23)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> (~((e11) = (e12))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (e22)) = (e11)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_Hec zenon_Hb zenon_H41 zenon_Hc6 zenon_H137 zenon_H13e zenon_H15 zenon_H118 zenon_H11d zenon_H6d zenon_H4e zenon_H64 zenon_H121 zenon_H44 zenon_Hc zenon_H154 zenon_H9a. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.00 apply (zenon_L235_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.00 apply (zenon_L240_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.00 apply (zenon_L151_); trivial. % 267.81/268.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.00 apply (zenon_L227_); trivial. % 267.81/268.00 apply (zenon_L228_); trivial. % 267.81/268.00 (* end of lemma zenon_L241_ *) % 267.81/268.00 assert (zenon_L242_ : ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((j (e24)) = (e11)) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e24)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/268.00 do 0 intro. intros zenon_H13e zenon_Hd5 zenon_H4e zenon_H6d zenon_H11d zenon_H137 zenon_Hc7 zenon_H97. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_H97. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Ha3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H6d. % 267.81/268.00 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.00 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H30. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Heb. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.00 congruence. % 267.81/268.00 cut (((j (e23)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hea. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_Hc7. % 267.81/268.00 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.00 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/268.00 congruence. % 267.81/268.00 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/268.00 intro zenon_D_pnotp. % 267.81/268.00 apply zenon_Hc3. % 267.81/268.00 rewrite <- zenon_D_pnotp. % 267.81/268.00 exact zenon_H7c. % 267.81/268.00 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.00 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 267.81/268.00 congruence. % 267.81/268.00 apply (zenon_L239_); trivial. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H7d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H14. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 apply zenon_H2d. apply refl_equal. % 267.81/268.00 (* end of lemma zenon_L242_ *) % 267.81/268.00 assert (zenon_L243_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e14))) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e11) = (e13))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e14))) -> ((op2 (e21) (e24)) = (e23)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> (~((e11) = (e12))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (e22)) = (e11)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc8 zenon_H2f zenon_H12c zenon_Hda zenon_H124 zenon_Hcd zenon_H91 zenon_H41 zenon_Hec zenon_Hb zenon_H97 zenon_H137 zenon_H13e zenon_H15 zenon_H118 zenon_H11d zenon_H6d zenon_H4e zenon_H64 zenon_H121 zenon_H44 zenon_Hc zenon_H154 zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L82_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L236_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L84_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L241_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L235_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L242_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L151_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L227_); trivial. % 267.81/268.01 apply (zenon_L228_); trivial. % 267.81/268.01 (* end of lemma zenon_L243_ *) % 267.81/268.01 assert (zenon_L244_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e13))) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((op2 (e21) (e24)) = (e23)) -> (~((e11) = (e13))) -> (~((e11) = (e14))) -> ((op2 (e22) (e22)) = (e23)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> (~((e12) = (e14))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e10) = (e14))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H28 zenon_H121 zenon_H11d zenon_H118 zenon_H13e zenon_H137 zenon_H41 zenon_H97 zenon_Hbb zenon_H85 zenon_H6d zenon_Hbf zenon_H91 zenon_Hcd zenon_H9a zenon_Hec zenon_Hb zenon_H15 zenon_H124 zenon_Hda zenon_H4e zenon_H12c zenon_H44 zenon_Hc zenon_H154 zenon_H2f zenon_Hc8 zenon_H3b zenon_H60 zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L30_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L243_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L32_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L82_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L236_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L84_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L85_); trivial. % 267.81/268.01 apply (zenon_L215_); trivial. % 267.81/268.01 apply (zenon_L38_); trivial. % 267.81/268.01 (* end of lemma zenon_L244_ *) % 267.81/268.01 assert (zenon_L245_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e23)) = (e10)) -> ((j (e21)) = (e11)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hec zenon_Hb zenon_H15 zenon_H124 zenon_H11d zenon_H6d zenon_Hb7 zenon_H53 zenon_H12c zenon_H44 zenon_Hc zenon_H154 zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L235_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L226_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L171_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L227_); trivial. % 267.81/268.01 apply (zenon_L228_); trivial. % 267.81/268.01 (* end of lemma zenon_L245_ *) % 267.81/268.01 assert (zenon_L246_ : (((h (e14)) = (e20))\/(((h (e14)) = (e21))\/(((h (e14)) = (e22))\/(((h (e14)) = (e23))\/((h (e14)) = (e24)))))) -> ((h (e10)) = (e20)) -> ((j (h (e10))) = (e10)) -> (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> ((h (e13)) = (e22)) -> ((j (h (e13))) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (~((e10) = (e13))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e12) = (e13))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e22) (e22)) = (e23)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e12))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((op2 (e21) (e22)) = (e24)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((op2 (e21) (e24)) = (e23)) -> ((op1 (e11) (e10)) = (e11)) -> (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H10f zenon_H1b zenon_H1d zenon_H34 zenon_H60 zenon_H3b zenon_H6d zenon_H72 zenon_H67 zenon_H41 zenon_H15 zenon_H28 zenon_H7f zenon_H87 zenon_H44 zenon_H85 zenon_H6c zenon_Hbb zenon_Hbf zenon_Hb zenon_H124 zenon_H11d zenon_H12c zenon_Hc8 zenon_H121 zenon_H118 zenon_H13e zenon_H137 zenon_Hda zenon_H5b zenon_Hec zenon_H2f zenon_H97 zenon_H91 zenon_H47 zenon_Hc zenon_H154 zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.01 apply (zenon_L110_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.01 apply (zenon_L233_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.01 apply (zenon_L234_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.01 apply (zenon_L244_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L30_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L31_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L32_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L245_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L83_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L214_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L85_); trivial. % 267.81/268.01 apply (zenon_L215_); trivial. % 267.81/268.01 apply (zenon_L38_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.01 apply (zenon_L39_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.01 apply (zenon_L45_); trivial. % 267.81/268.01 apply (zenon_L50_); trivial. % 267.81/268.01 apply (zenon_L232_); trivial. % 267.81/268.01 (* end of lemma zenon_L246_ *) % 267.81/268.01 assert (zenon_L247_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e14))) -> ((j (e21)) = (e14)) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> (~((e11) = (e12))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e22)) = (e11)) -> ((j (e23)) = (e10)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hec zenon_H97 zenon_H5a zenon_H107 zenon_H106 zenon_H15 zenon_Hdf zenon_Hda zenon_H6d zenon_H64 zenon_Hb7 zenon_Hde zenon_H44 zenon_Hc zenon_H154 zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L218_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L226_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L94_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L227_); trivial. % 267.81/268.01 apply (zenon_L228_); trivial. % 267.81/268.01 (* end of lemma zenon_L247_ *) % 267.81/268.01 assert (zenon_L248_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e12) = (e14))) -> ((h (e12)) = (e24)) -> ((j (h (e12))) = (e12)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (e22)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (~((e11) = (e12))) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e11) = (e14))) -> ((j (e21)) = (e14)) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc8 zenon_H9a zenon_H154 zenon_Hc zenon_Hde zenon_H64 zenon_Hda zenon_Hdf zenon_H15 zenon_H106 zenon_H107 zenon_Hec zenon_H41 zenon_H44 zenon_H97 zenon_H5a zenon_Hf1 zenon_H85 zenon_H6d zenon_Hf9 zenon_H3b zenon_Hb5 zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L247_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L72_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L98_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L220_); trivial. % 267.81/268.01 apply (zenon_L78_); trivial. % 267.81/268.01 (* end of lemma zenon_L248_ *) % 267.81/268.01 assert (zenon_L249_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e13) = (e14))) -> ((h (e13)) = (e23)) -> ((j (h (e13))) = (e13)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e23) (e23)) = (e21)) -> (~((e12) = (e13))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H87 zenon_H47 zenon_Hb5 zenon_H3b zenon_Hf9 zenon_H85 zenon_Hf1 zenon_H44 zenon_Hec zenon_H107 zenon_H106 zenon_Hdf zenon_Hda zenon_Hde zenon_Hc zenon_H154 zenon_H9a zenon_Hc8 zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H5a zenon_H67 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L142_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L248_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L48_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L49_); trivial. % 267.81/268.01 apply (zenon_L115_); trivial. % 267.81/268.01 (* end of lemma zenon_L249_ *) % 267.81/268.01 assert (zenon_L250_ : (~((e12) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> ((j (e24)) = (e12)) -> False). % 267.81/268.01 do 0 intro. intros zenon_H44 zenon_H3b zenon_H10c zenon_He7. % 267.81/268.01 cut (((j (h (e13))) = (e13)) = ((e12) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H44. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H3b. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((j (h (e13))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H45. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.81/268.01 cut (((j (h (e13))) = (j (h (e13)))) = ((e12) = (j (h (e13))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H46. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H3e. % 267.81/268.01 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.81/268.01 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e24)) = (e12)) = ((j (h (e13))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H45. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_He7. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((j (e24)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_H3e | zenon_intro zenon_H3f ]. % 267.81/268.01 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e24)) = (j (h (e13))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H10e. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H3e. % 267.81/268.01 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 267.81/268.01 cut (((j (h (e13))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L122_); trivial. % 267.81/268.01 apply zenon_H3f. apply refl_equal. % 267.81/268.01 apply zenon_H3f. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H3f. apply refl_equal. % 267.81/268.01 apply zenon_H3f. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L250_ *) % 267.81/268.01 assert (zenon_L251_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> ((h (e12)) = (e24)) -> ((j (h (e12))) = (e12)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hec zenon_H28 zenon_H41 zenon_H44 zenon_H154 zenon_Hc zenon_H3b zenon_H10c zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L189_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L123_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L250_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L227_); trivial. % 267.81/268.01 apply (zenon_L124_); trivial. % 267.81/268.01 (* end of lemma zenon_L251_ *) % 267.81/268.01 assert (zenon_L252_ : (~((e10) = (e11))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e21)) -> ((j (e21)) = (e10)) -> False). % 267.81/268.01 do 0 intro. intros zenon_H87 zenon_Ha2 zenon_H15a zenon_H4e. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e10) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H87. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.81/268.01 cut (((e10) = (e10)) = ((j (h (e11))) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hf. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((e10) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H15c]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e10) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15c. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e21)) = (e10)) = ((j (h (e11))) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H4e. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((j (e21)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H15d]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e21)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15d. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H15e]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((h (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H15f]. % 267.81/268.01 congruence. % 267.81/268.01 exact (zenon_H15f zenon_H15a). % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L252_ *) % 267.81/268.01 assert (zenon_L253_ : (~((j (h (e11))) = (j (e22)))) -> ((h (e11)) = (e22)) -> False). % 267.81/268.01 do 0 intro. intros zenon_H160 zenon_H161. % 267.81/268.01 cut (((h (e11)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H162]. % 267.81/268.01 congruence. % 267.81/268.01 exact (zenon_H162 zenon_H161). % 267.81/268.01 (* end of lemma zenon_L253_ *) % 267.81/268.01 assert (zenon_L254_ : (~((e10) = (e11))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> ((j (e22)) = (e10)) -> False). % 267.81/268.01 do 0 intro. intros zenon_H87 zenon_Ha2 zenon_H161 zenon_H62. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e10) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H87. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.81/268.01 cut (((e10) = (e10)) = ((j (h (e11))) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hf. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((e10) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H15c]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e10) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15c. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e22)) = (e10)) = ((j (h (e11))) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H62. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((j (e22)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H163]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e22)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H163. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H160]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L253_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L254_ *) % 267.81/268.01 assert (zenon_L255_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> ((j (e22)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Ha2 zenon_H161 zenon_H65 zenon_H15. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e12) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H8b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((j (h (e11))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H164. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e12) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H165. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e22)) = (e12)) = ((j (h (e11))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H164. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H65. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((j (e22)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H163]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e22)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H163. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H160]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L253_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L255_ *) % 267.81/268.01 assert (zenon_L256_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> ((j (e22)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Ha2 zenon_H161 zenon_H78 zenon_H41. % 267.81/268.01 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.01 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H41. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H29. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e13) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H79. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H147]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.01 cut (((e13) = (e13)) = ((j (h (e11))) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H147. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H29. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((e13) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e13) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H148. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H147]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e22)) = (e13)) = ((j (h (e11))) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H147. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H78. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((j (e22)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H163]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e22)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H163. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H160]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L253_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L256_ *) % 267.81/268.01 assert (zenon_L257_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> ((j (e22)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Ha2 zenon_H161 zenon_H7e zenon_H97. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H97. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e14) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha3. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((j (h (e11))) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha4. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e14) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha5. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e22)) = (e14)) = ((j (h (e11))) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha4. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H7e. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((j (e22)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H163]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e22)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H163. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H160]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L253_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L257_ *) % 267.81/268.01 assert (zenon_L258_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> (~((e10) = (e14))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H87 zenon_H118 zenon_H11d zenon_H6d zenon_H4e zenon_H121 zenon_H91 zenon_Hd1 zenon_H2f zenon_Hec zenon_H15 zenon_H41 zenon_Ha2 zenon_H161 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L254_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L154_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L255_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L256_); trivial. % 267.81/268.01 apply (zenon_L257_); trivial. % 267.81/268.01 (* end of lemma zenon_L258_ *) % 267.81/268.01 assert (zenon_L259_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H2f zenon_H9a zenon_Hb1 zenon_H91 zenon_H47 zenon_Ha2 zenon_H161 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L66_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L67_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L68_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L69_); trivial. % 267.81/268.01 apply (zenon_L257_); trivial. % 267.81/268.01 (* end of lemma zenon_L259_ *) % 267.81/268.01 assert (zenon_L260_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e12))) -> ((h (e12)) = (e22)) -> ((j (h (e12))) = (e12)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_Hb zenon_H114 zenon_Hc zenon_H15 zenon_H41 zenon_Ha2 zenon_H161 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L146_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L134_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L255_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L256_); trivial. % 267.81/268.01 apply (zenon_L257_); trivial. % 267.81/268.01 (* end of lemma zenon_L260_ *) % 267.81/268.01 assert (zenon_L261_ : ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((j (e24)) = (e11)) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e24)) = (e23)) -> ((j (e23)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H13e zenon_Hd5 zenon_H4e zenon_H6d zenon_H11d zenon_H137 zenon_Hc5 zenon_H15. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((op1 (e14) (e14)) = (e11)) = ((e12) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H8b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H6d. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H8c. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.01 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H8d. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H7c. % 267.81/268.01 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.01 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e23)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H8c. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hc5. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.01 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Hc3. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H7c. % 267.81/268.01 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.01 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L239_); trivial. % 267.81/268.01 apply zenon_H7d. apply refl_equal. % 267.81/268.01 apply zenon_H7d. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H7d. apply refl_equal. % 267.81/268.01 apply zenon_H7d. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L261_ *) % 267.81/268.01 assert (zenon_L262_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e12) = (e14))) -> ((h (e12)) = (e23)) -> ((j (h (e12))) = (e12)) -> (~((e12) = (e13))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e10) = (e14))) -> ((op2 (e21) (e24)) = (e23)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((op2 (e22) (e23)) = (e24)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H87 zenon_H9a zenon_H14a zenon_Hc zenon_H44 zenon_Hec zenon_Hd1 zenon_H91 zenon_H2f zenon_H137 zenon_H13e zenon_H121 zenon_H4e zenon_H6d zenon_H11d zenon_H118 zenon_H12c zenon_Hda zenon_H124 zenon_Hde zenon_Hdf zenon_Hc8 zenon_H15 zenon_H41 zenon_Ha2 zenon_H161 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L254_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L97_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L161_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L89_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L261_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L151_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L152_); trivial. % 267.81/268.01 apply (zenon_L153_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L206_); trivial. % 267.81/268.01 apply (zenon_L200_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L255_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L256_); trivial. % 267.81/268.01 apply (zenon_L257_); trivial. % 267.81/268.01 (* end of lemma zenon_L262_ *) % 267.81/268.01 assert (zenon_L263_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e13))) -> ((j (e23)) = (e12)) -> ((op2 (e21) (e24)) = (e23)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (e22)) = (e11)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hec zenon_H28 zenon_Hc5 zenon_H137 zenon_H13e zenon_H15 zenon_H41 zenon_H118 zenon_H11d zenon_H6d zenon_H4e zenon_H64 zenon_H121 zenon_H3b zenon_H10c zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L189_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L261_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L151_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L152_); trivial. % 267.81/268.01 apply (zenon_L124_); trivial. % 267.81/268.01 (* end of lemma zenon_L263_ *) % 267.81/268.01 assert (zenon_L264_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e12))) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> (~((e13) = (e14))) -> ((h (e13)) = (e24)) -> ((j (h (e13))) = (e13)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e11)) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((op2 (e21) (e24)) = (e23)) -> (~((e10) = (e13))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc8 zenon_Hb zenon_H12c zenon_Hda zenon_H124 zenon_H47 zenon_H10c zenon_H3b zenon_H121 zenon_H64 zenon_H4e zenon_H6d zenon_H11d zenon_H118 zenon_H41 zenon_H15 zenon_H13e zenon_H137 zenon_H28 zenon_Hec zenon_H44 zenon_Hc zenon_H14a zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L210_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L190_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L263_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L206_); trivial. % 267.81/268.01 apply (zenon_L200_); trivial. % 267.81/268.01 (* end of lemma zenon_L264_ *) % 267.81/268.01 assert (zenon_L265_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e12) = (e14))) -> ((h (e12)) = (e23)) -> ((j (h (e12))) = (e12)) -> (~((e12) = (e13))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e13))) -> ((op2 (e21) (e24)) = (e23)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> (~((e10) = (e12))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H87 zenon_H9a zenon_H14a zenon_Hc zenon_H44 zenon_Hec zenon_H28 zenon_H137 zenon_H13e zenon_H118 zenon_H11d zenon_H6d zenon_H4e zenon_H121 zenon_H3b zenon_H10c zenon_H47 zenon_H124 zenon_Hda zenon_H12c zenon_Hb zenon_Hc8 zenon_H15 zenon_H41 zenon_Ha2 zenon_H161 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L254_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L264_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L255_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L256_); trivial. % 267.81/268.01 apply (zenon_L257_); trivial. % 267.81/268.01 (* end of lemma zenon_L265_ *) % 267.81/268.01 assert (zenon_L266_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e12) = (e14))) -> ((h (e12)) = (e24)) -> ((j (h (e12))) = (e12)) -> (~((e12) = (e13))) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((op2 (e21) (e24)) = (e23)) -> (~((e10) = (e12))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> (~((e10) = (e14))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H87 zenon_H9a zenon_H154 zenon_Hc zenon_H44 zenon_H121 zenon_H4e zenon_H6d zenon_H11d zenon_H118 zenon_H13e zenon_H137 zenon_Hb zenon_Hec zenon_H91 zenon_Hcd zenon_H124 zenon_Hda zenon_H12c zenon_H2f zenon_Hc8 zenon_H15 zenon_H41 zenon_Ha2 zenon_H161 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L254_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L243_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L255_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L256_); trivial. % 267.81/268.01 apply (zenon_L257_); trivial. % 267.81/268.01 (* end of lemma zenon_L266_ *) % 267.81/268.01 assert (zenon_L267_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> ((h (e11)) = (e22)) -> ((j (h (e11))) = (e11)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H28 zenon_H44 zenon_H41 zenon_H161 zenon_Ha2 zenon_H3b zenon_H60 zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L30_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L31_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L32_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L256_); trivial. % 267.81/268.01 apply (zenon_L38_); trivial. % 267.81/268.01 (* end of lemma zenon_L267_ *) % 267.81/268.01 assert (zenon_L268_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e13))) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> (~((e12) = (e14))) -> ((h (e12)) = (e24)) -> ((j (h (e12))) = (e12)) -> (~((e12) = (e13))) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e11)) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e22)) = (e24)) -> (~((e11) = (e12))) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((op2 (e21) (e24)) = (e23)) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc8 zenon_H28 zenon_H12c zenon_Hda zenon_H124 zenon_H9a zenon_H154 zenon_Hc zenon_H44 zenon_H121 zenon_H64 zenon_H4e zenon_H6d zenon_H11d zenon_H118 zenon_H15 zenon_H13e zenon_H137 zenon_H41 zenon_Hb zenon_Hec zenon_H3b zenon_Hb5 zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L71_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L236_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L98_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L241_); trivial. % 267.81/268.01 apply (zenon_L78_); trivial. % 267.81/268.01 (* end of lemma zenon_L268_ *) % 267.81/268.01 assert (zenon_L269_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e13) = (e14))) -> ((h (e13)) = (e23)) -> ((j (h (e13))) = (e13)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e12))) -> ((op2 (e21) (e24)) = (e23)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> (~((e10) = (e13))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H87 zenon_H47 zenon_Hb5 zenon_H3b zenon_Hec zenon_Hb zenon_H137 zenon_H13e zenon_H118 zenon_H11d zenon_H6d zenon_H4e zenon_H121 zenon_H44 zenon_Hc zenon_H154 zenon_H9a zenon_H124 zenon_Hda zenon_H12c zenon_H28 zenon_Hc8 zenon_H15 zenon_H41 zenon_Ha2 zenon_H161 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L254_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L268_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L255_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L256_); trivial. % 267.81/268.01 apply (zenon_L257_); trivial. % 267.81/268.01 (* end of lemma zenon_L269_ *) % 267.81/268.01 assert (zenon_L270_ : (~((j (h (e11))) = (j (e23)))) -> ((h (e11)) = (e23)) -> False). % 267.81/268.01 do 0 intro. intros zenon_H166 zenon_H167. % 267.81/268.01 cut (((h (e11)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H168]. % 267.81/268.01 congruence. % 267.81/268.01 exact (zenon_H168 zenon_H167). % 267.81/268.01 (* end of lemma zenon_L270_ *) % 267.81/268.01 assert (zenon_L271_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> ((j (e23)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Ha2 zenon_H167 zenon_Hc6 zenon_H41. % 267.81/268.01 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.01 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H41. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H29. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e13) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H79. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H147]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.01 cut (((e13) = (e13)) = ((j (h (e11))) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H147. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H29. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((e13) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e13) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H148. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H147]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e23)) = (e13)) = ((j (h (e11))) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H147. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hc6. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((j (e23)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H169]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e23)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H169. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L270_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L271_ *) % 267.81/268.01 assert (zenon_L272_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> ((h (e11)) = (e23)) -> ((j (h (e11))) = (e11)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc8 zenon_H28 zenon_H44 zenon_H41 zenon_H167 zenon_Ha2 zenon_H3b zenon_Hb5 zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L71_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L72_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L98_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L271_); trivial. % 267.81/268.01 apply (zenon_L78_); trivial. % 267.81/268.01 (* end of lemma zenon_L272_ *) % 267.81/268.01 assert (zenon_L273_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Ha2 zenon_H167 zenon_Hc7 zenon_H97. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H97. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e14) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha3. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((j (h (e11))) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha4. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e14) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha5. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e23)) = (e14)) = ((j (h (e11))) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha4. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hc7. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((j (e23)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H169]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e23)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H169. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L270_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L273_ *) % 267.81/268.01 assert (zenon_L274_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc8 zenon_H2f zenon_H9a zenon_Hcd zenon_H91 zenon_H47 zenon_Ha2 zenon_H167 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L82_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L83_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L84_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L85_); trivial. % 267.81/268.01 apply (zenon_L273_); trivial. % 267.81/268.01 (* end of lemma zenon_L274_ *) % 267.81/268.01 assert (zenon_L275_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> ((j (e23)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Ha2 zenon_H167 zenon_Hc5 zenon_H15. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e12) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H8b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((j (h (e11))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H164. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e12) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H165. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e23)) = (e12)) = ((j (h (e11))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H164. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hc5. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((j (e23)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H169]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e23)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H169. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L270_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L275_ *) % 267.81/268.01 assert (zenon_L276_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> ((h (e11)) = (e23)) -> ((j (h (e11))) = (e11)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc8 zenon_Hb zenon_H15 zenon_H167 zenon_Ha2 zenon_H44 zenon_Hc zenon_H14a zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L210_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L202_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L275_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L206_); trivial. % 267.81/268.01 apply (zenon_L200_); trivial. % 267.81/268.01 (* end of lemma zenon_L276_ *) % 267.81/268.01 assert (zenon_L277_ : (~((j (h (e11))) = (j (e24)))) -> ((h (e11)) = (e24)) -> False). % 267.81/268.01 do 0 intro. intros zenon_H16a zenon_H16b. % 267.81/268.01 cut (((h (e11)) = (e24))); [idtac | apply NNPP; zenon_intro zenon_H16c]. % 267.81/268.01 congruence. % 267.81/268.01 exact (zenon_H16c zenon_H16b). % 267.81/268.01 (* end of lemma zenon_L277_ *) % 267.81/268.01 assert (zenon_L278_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> ((j (e24)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Ha2 zenon_H16b zenon_He9 zenon_H97. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H97. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e14) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha3. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((j (h (e11))) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha4. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e14) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha5. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e24)) = (e14)) = ((j (h (e11))) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha4. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_He9. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((j (e24)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e24)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H16d. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L277_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L278_ *) % 267.81/268.01 assert (zenon_L279_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hec zenon_H2f zenon_H9a zenon_Hd1 zenon_H91 zenon_H47 zenon_Ha2 zenon_H16b zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L89_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L90_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L128_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L129_); trivial. % 267.81/268.01 apply (zenon_L278_); trivial. % 267.81/268.01 (* end of lemma zenon_L279_ *) % 267.81/268.01 assert (zenon_L280_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> ((j (e24)) = (e13)) -> (~((e11) = (e13))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Ha2 zenon_H16b zenon_He8 zenon_H41. % 267.81/268.01 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.01 cut (((e13) = (e13)) = ((e11) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H41. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H29. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e13) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H79. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H147]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.01 cut (((e13) = (e13)) = ((j (h (e11))) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H147. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H29. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((e13) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e13) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H148. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H147]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e24)) = (e13)) = ((j (h (e11))) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H147. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_He8. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((j (e24)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e24)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H16d. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L277_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L280_ *) % 267.81/268.01 assert (zenon_L281_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> ((h (e11)) = (e24)) -> ((j (h (e11))) = (e11)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hec zenon_H28 zenon_H44 zenon_H41 zenon_H16b zenon_Ha2 zenon_H3b zenon_H10c zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L189_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L123_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L250_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L280_); trivial. % 267.81/268.01 apply (zenon_L124_); trivial. % 267.81/268.01 (* end of lemma zenon_L281_ *) % 267.81/268.01 assert (zenon_L282_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> ((j (e24)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Ha2 zenon_H16b zenon_He7 zenon_H15. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e12) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H8b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((j (h (e11))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H164. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e12) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H165. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e24)) = (e12)) = ((j (h (e11))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H164. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_He7. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((j (e24)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e24)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H16d. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L277_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L282_ *) % 267.81/268.01 assert (zenon_L283_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> ((h (e11)) = (e24)) -> ((j (h (e11))) = (e11)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hec zenon_Hb zenon_H15 zenon_H16b zenon_Ha2 zenon_H44 zenon_Hc zenon_H154 zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L235_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L226_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L282_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L227_); trivial. % 267.81/268.01 apply (zenon_L228_); trivial. % 267.81/268.01 (* end of lemma zenon_L283_ *) % 267.81/268.01 assert (zenon_L284_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e20)) -> ((j (e20)) = (e12)) -> (~((e11) = (e12))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Ha2 zenon_Ha0 zenon_H1e zenon_H15. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((e11) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e12) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H8b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((j (h (e11))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H164. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e12) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H165. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e20)) = (e12)) = ((j (h (e11))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H164. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1e. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((j (e20)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e20)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha8. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L57_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L284_ *) % 267.81/268.01 assert (zenon_L285_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> ((j (e20)) = (e13)) -> (~((e12) = (e13))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc zenon_H7 zenon_H27 zenon_H44. % 267.81/268.01 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.01 cut (((e13) = (e13)) = ((e12) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H44. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H29. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e12))) = (e12)) = ((e13) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H57. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hc. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.01 cut (((e13) = (e13)) = ((j (h (e12))) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H58. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H29. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((e13) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.01 cut (((j (h (e12))) = (j (h (e12)))) = ((e13) = (j (h (e12))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H59. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H11. % 267.81/268.01 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.01 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e20)) = (e13)) = ((j (h (e12))) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H58. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H27. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((j (e20)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.01 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e20)) = (j (h (e12))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H13. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H11. % 267.81/268.01 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.01 cut (((j (h (e12))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L1_); trivial. % 267.81/268.01 apply zenon_H12. apply refl_equal. % 267.81/268.01 apply zenon_H12. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H12. apply refl_equal. % 267.81/268.01 apply zenon_H12. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L285_ *) % 267.81/268.01 assert (zenon_L286_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> ((j (e20)) = (e14)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc zenon_H7 zenon_H2e zenon_H9a. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((e12) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H9a. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e12))) = (e12)) = ((e14) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Had. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hc. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((j (h (e12))) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Hae. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.01 cut (((j (h (e12))) = (j (h (e12)))) = ((e14) = (j (h (e12))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Haf. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H11. % 267.81/268.01 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.01 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e20)) = (e14)) = ((j (h (e12))) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Hae. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H2e. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((j (e20)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 267.81/268.01 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e20)) = (j (h (e12))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H13. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H11. % 267.81/268.01 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 267.81/268.01 cut (((j (h (e12))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L1_); trivial. % 267.81/268.01 apply zenon_H12. apply refl_equal. % 267.81/268.01 apply zenon_H12. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H12. apply refl_equal. % 267.81/268.01 apply zenon_H12. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L286_ *) % 267.81/268.01 assert (zenon_L287_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> ((h (e11)) = (e20)) -> ((j (h (e11))) = (e11)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H34 zenon_Hb zenon_H15 zenon_Ha0 zenon_Ha2 zenon_H44 zenon_Hc zenon_H7 zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 267.81/268.01 apply (zenon_L4_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 267.81/268.01 apply (zenon_L6_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 267.81/268.01 apply (zenon_L284_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 267.81/268.01 apply (zenon_L285_); trivial. % 267.81/268.01 apply (zenon_L286_); trivial. % 267.81/268.01 (* end of lemma zenon_L287_ *) % 267.81/268.01 assert (zenon_L288_ : (~((j (h (e10))) = (j (e21)))) -> ((h (e10)) = (e21)) -> False). % 267.81/268.01 do 0 intro. intros zenon_H16e zenon_H16f. % 267.81/268.01 cut (((h (e10)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H170]. % 267.81/268.01 congruence. % 267.81/268.01 exact (zenon_H170 zenon_H16f). % 267.81/268.01 (* end of lemma zenon_L288_ *) % 267.81/268.01 assert (zenon_L289_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e10) = (e12))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H1d zenon_H16f zenon_H55 zenon_Hb. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((e10) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Hb. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e10))) = (e10)) = ((e12) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H20. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1d. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((j (h (e10))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H21. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((e12) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H22. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e21)) = (e12)) = ((j (h (e10))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H21. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H55. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((j (e21)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e21)) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H171. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16e]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L288_); trivial. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L289_ *) % 267.81/268.01 assert (zenon_L290_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((h (e10)) = (e21)) -> ((j (h (e10))) = (e10)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H5b zenon_H15 zenon_Hb zenon_H16f zenon_H1d zenon_H44 zenon_Hc zenon_H51 zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.01 apply (zenon_L28_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.01 apply (zenon_L23_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.01 apply (zenon_L289_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.01 apply (zenon_L25_); trivial. % 267.81/268.01 apply (zenon_L63_); trivial. % 267.81/268.01 (* end of lemma zenon_L290_ *) % 267.81/268.01 assert (zenon_L291_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e10) = (e13))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H1d zenon_H16f zenon_H56 zenon_H28. % 267.81/268.01 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.01 cut (((e13) = (e13)) = ((e10) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H28. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H29. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e10))) = (e10)) = ((e13) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H2a. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1d. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.01 cut (((e13) = (e13)) = ((j (h (e10))) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H2b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H29. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((e13) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((e13) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H2c. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e21)) = (e13)) = ((j (h (e10))) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H2b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H56. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((j (e21)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e21)) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H171. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16e]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L288_); trivial. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L291_ *) % 267.81/268.01 assert (zenon_L292_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((h (e10)) = (e21)) -> ((j (h (e10))) = (e10)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H5b zenon_H41 zenon_H44 zenon_H28 zenon_H16f zenon_H1d zenon_H3b zenon_H4c zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.01 apply (zenon_L21_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.01 apply (zenon_L132_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.01 apply (zenon_L24_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.01 apply (zenon_L291_); trivial. % 267.81/268.01 apply (zenon_L26_); trivial. % 267.81/268.01 (* end of lemma zenon_L292_ *) % 267.81/268.01 assert (zenon_L293_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> ((j (e21)) = (e11)) -> (~((e10) = (e11))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H1d zenon_H16f zenon_H53 zenon_H87. % 267.81/268.01 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/268.01 cut (((e11) = (e11)) = ((e10) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H87. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H18. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H172]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e10))) = (e10)) = ((e11) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H172. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1d. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/268.01 cut (((e11) = (e11)) = ((j (h (e10))) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H173. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H18. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((e11) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((e11) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H174. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e21)) = (e11)) = ((j (h (e10))) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H173. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H53. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (e21)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e21)) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H171. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16e]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L288_); trivial. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L293_ *) % 267.81/268.01 assert (zenon_L294_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> ((j (e21)) = (e14)) -> (~((e10) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H1d zenon_H16f zenon_H5a zenon_H2f. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((e10) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H2f. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e10))) = (e10)) = ((e14) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H31. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1d. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((j (h (e10))) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H32. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((e14) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H33. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e21)) = (e14)) = ((j (h (e10))) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H32. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H5a. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((j (e21)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e21)) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H171. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16e]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L288_); trivial. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L294_ *) % 267.81/268.01 assert (zenon_L295_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((h (e14)) = (e21)) -> ((j (h (e14))) = (e14)) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> (~((e10) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H5b zenon_Haa zenon_H91 zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H16f zenon_H2f. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.01 apply (zenon_L140_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.01 apply (zenon_L293_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.01 apply (zenon_L289_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.01 apply (zenon_L291_); trivial. % 267.81/268.01 apply (zenon_L294_); trivial. % 267.81/268.01 (* end of lemma zenon_L295_ *) % 267.81/268.01 assert (zenon_L296_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> ((h (e12)) = (e20)) -> ((j (h (e12))) = (e12)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H34 zenon_H28 zenon_H41 zenon_H44 zenon_H7 zenon_Hc zenon_H3b zenon_H39 zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 267.81/268.01 apply (zenon_L15_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 267.81/268.01 apply (zenon_L16_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 267.81/268.01 apply (zenon_L17_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 267.81/268.01 apply (zenon_L285_); trivial. % 267.81/268.01 apply (zenon_L18_); trivial. % 267.81/268.01 (* end of lemma zenon_L296_ *) % 267.81/268.01 assert (zenon_L297_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> ((h (e14)) = (e20)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H34 zenon_H2f zenon_H97 zenon_H8f zenon_H91 zenon_H47 zenon_Hc zenon_H7 zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 267.81/268.01 apply (zenon_L53_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 267.81/268.01 apply (zenon_L54_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 267.81/268.01 apply (zenon_L55_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 267.81/268.01 apply (zenon_L56_); trivial. % 267.81/268.01 apply (zenon_L286_); trivial. % 267.81/268.01 (* end of lemma zenon_L297_ *) % 267.81/268.01 assert (zenon_L298_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e20)) -> ((j (h (e14))) = (e14)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H34 zenon_H2f zenon_H97 zenon_H9a zenon_H8f zenon_H91 zenon_H3b zenon_H39 zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 267.81/268.01 apply (zenon_L53_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 267.81/268.01 apply (zenon_L54_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 267.81/268.01 apply (zenon_L55_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 267.81/268.01 apply (zenon_L56_); trivial. % 267.81/268.01 apply (zenon_L18_); trivial. % 267.81/268.01 (* end of lemma zenon_L298_ *) % 267.81/268.01 assert (zenon_L299_ : (~((e10) = (e11))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> ((j (e23)) = (e10)) -> False). % 267.81/268.01 do 0 intro. intros zenon_H87 zenon_Ha2 zenon_H167 zenon_Hb7. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e10) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H87. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.81/268.01 cut (((e10) = (e10)) = ((j (h (e11))) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hf. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((e10) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H15c]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e10) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15c. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e23)) = (e10)) = ((j (h (e11))) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hb7. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((j (e23)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H169]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e23)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H169. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L270_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L299_ *) % 267.81/268.01 assert (zenon_L300_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e14))) -> ((h (e11)) = (e23)) -> ((j (h (e11))) = (e11)) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> (~((e10) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H5b zenon_H97 zenon_H167 zenon_Ha2 zenon_H41 zenon_H15 zenon_Hec zenon_Hd1 zenon_H91 zenon_H12c zenon_H6d zenon_Hda zenon_H124 zenon_Hc8 zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H16f zenon_H2f. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L299_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L161_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L275_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L271_); trivial. % 267.81/268.01 apply (zenon_L273_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.01 apply (zenon_L293_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.01 apply (zenon_L289_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.01 apply (zenon_L291_); trivial. % 267.81/268.01 apply (zenon_L294_); trivial. % 267.81/268.01 (* end of lemma zenon_L300_ *) % 267.81/268.01 assert (zenon_L301_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e13) = (e14))) -> ((h (e13)) = (e24)) -> ((j (h (e13))) = (e13)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> (~((e10) = (e13))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc8 zenon_H87 zenon_H47 zenon_H10c zenon_H3b zenon_H12c zenon_H4e zenon_H6d zenon_Hda zenon_H124 zenon_H28 zenon_Hec zenon_H15 zenon_H41 zenon_Ha2 zenon_H167 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L299_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L190_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L275_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L271_); trivial. % 267.81/268.01 apply (zenon_L273_); trivial. % 267.81/268.01 (* end of lemma zenon_L301_ *) % 267.81/268.01 assert (zenon_L302_ : (~((e10) = (e11))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> ((j (e24)) = (e10)) -> False). % 267.81/268.01 do 0 intro. intros zenon_H87 zenon_Ha2 zenon_H16b zenon_Hd3. % 267.81/268.01 cut (((j (h (e11))) = (e11)) = ((e10) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H87. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha2. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 267.81/268.01 cut (((e10) = (e10)) = ((j (h (e11))) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hf. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((e10) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H15c]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((e10) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15c. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e24)) = (e10)) = ((j (h (e11))) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H15b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hd3. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((j (e24)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha7 ]. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e24)) = (j (h (e11))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H16d. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Ha6. % 267.81/268.01 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 267.81/268.01 cut (((j (h (e11))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L277_); trivial. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_Ha7. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L302_ *) % 267.81/268.01 assert (zenon_L303_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e11))) -> ((j (e23)) = (e12)) -> ((op2 (e21) (e24)) = (e23)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hec zenon_H87 zenon_Hc5 zenon_H137 zenon_H11d zenon_H6d zenon_H4e zenon_H13e zenon_H15 zenon_H41 zenon_Ha2 zenon_H16b zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L302_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L261_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L282_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L280_); trivial. % 267.81/268.01 apply (zenon_L278_); trivial. % 267.81/268.01 (* end of lemma zenon_L303_ *) % 267.81/268.01 assert (zenon_L304_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e21) (e24)) = (e23)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e10)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc8 zenon_H2f zenon_Hcd zenon_H91 zenon_H47 zenon_Hec zenon_H87 zenon_H137 zenon_H11d zenon_H6d zenon_H4e zenon_H13e zenon_H15 zenon_H41 zenon_Ha2 zenon_H16b zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L82_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L83_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L303_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L85_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L302_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L242_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L282_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L280_); trivial. % 267.81/268.01 apply (zenon_L278_); trivial. % 267.81/268.01 (* end of lemma zenon_L304_ *) % 267.81/268.01 assert (zenon_L305_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e14))) -> ((h (e11)) = (e24)) -> ((j (h (e11))) = (e11)) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e24)) = (e23)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> (~((e10) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H5b zenon_H97 zenon_H16b zenon_Ha2 zenon_H41 zenon_H15 zenon_H13e zenon_H6d zenon_H11d zenon_H137 zenon_Hec zenon_H47 zenon_H91 zenon_Hcd zenon_Hc8 zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H16f zenon_H2f. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.01 apply (zenon_L304_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.01 apply (zenon_L293_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.01 apply (zenon_L289_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.01 apply (zenon_L291_); trivial. % 267.81/268.01 apply (zenon_L294_); trivial. % 267.81/268.01 (* end of lemma zenon_L305_ *) % 267.81/268.01 assert (zenon_L306_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (~((e11) = (e14))) -> ((h (e11)) = (e24)) -> ((j (h (e11))) = (e11)) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e24)) = (e23)) -> (~((e10) = (e11))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc8 zenon_H28 zenon_H44 zenon_H97 zenon_H16b zenon_Ha2 zenon_H41 zenon_H15 zenon_H13e zenon_H4e zenon_H6d zenon_H11d zenon_H137 zenon_H87 zenon_Hec zenon_H3b zenon_Hb5 zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L71_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L72_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L98_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L302_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L240_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L282_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L280_); trivial. % 267.81/268.01 apply (zenon_L278_); trivial. % 267.81/268.01 apply (zenon_L78_); trivial. % 267.81/268.01 (* end of lemma zenon_L306_ *) % 267.81/268.01 assert (zenon_L307_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e14))) -> ((h (e11)) = (e24)) -> ((j (h (e11))) = (e11)) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e21) (e24)) = (e23)) -> (~((e10) = (e11))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hc8 zenon_Hb zenon_H97 zenon_H16b zenon_Ha2 zenon_H41 zenon_H15 zenon_H13e zenon_H4e zenon_H6d zenon_H11d zenon_H137 zenon_H87 zenon_Hec zenon_H44 zenon_Hc zenon_H14a zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.01 apply (zenon_L210_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.01 apply (zenon_L202_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.01 apply (zenon_L303_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.01 apply (zenon_L206_); trivial. % 267.81/268.01 apply (zenon_L200_); trivial. % 267.81/268.01 (* end of lemma zenon_L307_ *) % 267.81/268.01 assert (zenon_L308_ : (~((j (h (e10))) = (j (e22)))) -> ((h (e10)) = (e22)) -> False). % 267.81/268.01 do 0 intro. intros zenon_H175 zenon_H176. % 267.81/268.01 cut (((h (e10)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H177]. % 267.81/268.01 congruence. % 267.81/268.01 exact (zenon_H177 zenon_H176). % 267.81/268.01 (* end of lemma zenon_L308_ *) % 267.81/268.01 assert (zenon_L309_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> ((j (e22)) = (e11)) -> (~((e10) = (e11))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H1d zenon_H176 zenon_H64 zenon_H87. % 267.81/268.01 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/268.01 cut (((e11) = (e11)) = ((e10) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H87. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H18. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H172]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e10))) = (e10)) = ((e11) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H172. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1d. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/268.01 cut (((e11) = (e11)) = ((j (h (e10))) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H173. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H18. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((e11) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((e11) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H174. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e22)) = (e11)) = ((j (h (e10))) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H173. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H64. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((j (e22)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e22)) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H178. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H175]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L308_); trivial. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L309_ *) % 267.81/268.01 assert (zenon_L310_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((h (e10)) = (e22)) -> ((j (h (e10))) = (e10)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H87 zenon_H176 zenon_H1d zenon_H15 zenon_H41 zenon_H72 zenon_H55 zenon_H6d zenon_H6c zenon_H67 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L87_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L309_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L107_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L37_); trivial. % 267.81/268.01 apply (zenon_L108_); trivial. % 267.81/268.01 (* end of lemma zenon_L310_ *) % 267.81/268.01 assert (zenon_L311_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e14))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> (~((e10) = (e11))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H5b zenon_Hb zenon_H97 zenon_H67 zenon_H6c zenon_H6d zenon_H72 zenon_H41 zenon_H15 zenon_H1d zenon_H176 zenon_H87 zenon_H7f zenon_H44 zenon_Hc zenon_H51 zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.01 apply (zenon_L28_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.01 apply (zenon_L23_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.01 apply (zenon_L310_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.01 apply (zenon_L25_); trivial. % 267.81/268.01 apply (zenon_L63_); trivial. % 267.81/268.01 (* end of lemma zenon_L311_ *) % 267.81/268.01 assert (zenon_L312_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> ((j (e22)) = (e12)) -> (~((e10) = (e12))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H1d zenon_H176 zenon_H65 zenon_Hb. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((e10) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Hb. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e10))) = (e10)) = ((e12) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H20. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1d. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.01 cut (((e12) = (e12)) = ((j (h (e10))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H21. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1f. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((e12) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((e12) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H22. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e22)) = (e12)) = ((j (h (e10))) = (e12))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H21. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H65. % 267.81/268.01 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.01 cut (((j (e22)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e22)) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H178. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H175]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L308_); trivial. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 apply zenon_Ha. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L312_ *) % 267.81/268.01 assert (zenon_L313_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> ((j (e22)) = (e13)) -> (~((e10) = (e13))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H1d zenon_H176 zenon_H78 zenon_H28. % 267.81/268.01 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.01 cut (((e13) = (e13)) = ((e10) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H28. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H29. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e10))) = (e10)) = ((e13) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H2a. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1d. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.01 cut (((e13) = (e13)) = ((j (h (e10))) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H2b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H29. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((e13) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((e13) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H2c. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e22)) = (e13)) = ((j (h (e10))) = (e13))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H2b. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H78. % 267.81/268.01 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.01 cut (((j (e22)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e22)) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H178. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H175]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L308_); trivial. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 apply zenon_H26. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L313_ *) % 267.81/268.01 assert (zenon_L314_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> ((j (e22)) = (e14)) -> (~((e10) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H1d zenon_H176 zenon_H7e zenon_H2f. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((e10) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H2f. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (h (e10))) = (e10)) = ((e14) = (e10))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H31. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H1d. % 267.81/268.01 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.01 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((j (h (e10))) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H32. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((e14) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H33. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e22)) = (e14)) = ((j (h (e10))) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H32. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H7e. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((j (e22)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e22)) = (j (h (e10))))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H178. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H23. % 267.81/268.01 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.01 cut (((j (h (e10))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H175]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L308_); trivial. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H24. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H9. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L314_ *) % 267.81/268.01 assert (zenon_L315_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((h (e12)) = (e22)) -> ((j (h (e12))) = (e12)) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> (~((e10) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H114 zenon_Hc zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H176 zenon_H2f. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L146_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L309_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L312_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L313_); trivial. % 267.81/268.01 apply (zenon_L314_); trivial. % 267.81/268.01 (* end of lemma zenon_L315_ *) % 267.81/268.01 assert (zenon_L316_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((h (e10)) = (e22)) -> ((j (h (e10))) = (e10)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H87 zenon_H176 zenon_H1d zenon_H15 zenon_H41 zenon_H72 zenon_H56 zenon_H6d zenon_H85 zenon_H67 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L43_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L309_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L112_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L44_); trivial. % 267.81/268.01 apply (zenon_L113_); trivial. % 267.81/268.01 (* end of lemma zenon_L316_ *) % 267.81/268.01 assert (zenon_L317_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (~((e11) = (e14))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> (~((e10) = (e11))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H5b zenon_H28 zenon_H44 zenon_H97 zenon_H67 zenon_H85 zenon_H6d zenon_H72 zenon_H41 zenon_H15 zenon_H1d zenon_H176 zenon_H87 zenon_H7f zenon_H3b zenon_H4c zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.01 apply (zenon_L21_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.01 apply (zenon_L132_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.01 apply (zenon_L24_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.01 apply (zenon_L316_); trivial. % 267.81/268.01 apply (zenon_L26_); trivial. % 267.81/268.01 (* end of lemma zenon_L317_ *) % 267.81/268.01 assert (zenon_L318_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((h (e10)) = (e22)) -> ((j (h (e10))) = (e10)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H41 zenon_H44 zenon_H28 zenon_H176 zenon_H1d zenon_H3b zenon_H60 zenon_H47. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L30_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L31_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L32_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L313_); trivial. % 267.81/268.01 apply (zenon_L38_); trivial. % 267.81/268.01 (* end of lemma zenon_L318_ *) % 267.81/268.01 assert (zenon_L319_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((h (e10)) = (e22)) -> ((j (h (e10))) = (e10)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H87 zenon_H176 zenon_H1d zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H5a zenon_H67 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L142_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L309_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L48_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L49_); trivial. % 267.81/268.01 apply (zenon_L115_); trivial. % 267.81/268.01 (* end of lemma zenon_L319_ *) % 267.81/268.01 assert (zenon_L320_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e21)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((h (e10)) = (e22)) -> ((j (h (e10))) = (e10)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H5b zenon_H2f zenon_H9a zenon_Haa zenon_H91 zenon_H47 zenon_H7f zenon_H87 zenon_H176 zenon_H1d zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H67 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.01 apply (zenon_L140_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.01 apply (zenon_L141_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.01 apply (zenon_L61_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.01 apply (zenon_L62_); trivial. % 267.81/268.01 apply (zenon_L319_); trivial. % 267.81/268.01 (* end of lemma zenon_L320_ *) % 267.81/268.01 assert (zenon_L321_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> (~((e10) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H7f zenon_H97 zenon_H9a zenon_Hb1 zenon_H91 zenon_H47 zenon_H1d zenon_H176 zenon_H2f. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L66_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L67_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L68_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L69_); trivial. % 267.81/268.01 apply (zenon_L314_); trivial. % 267.81/268.01 (* end of lemma zenon_L321_ *) % 267.81/268.01 assert (zenon_L322_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((h (e11)) = (e21)) -> ((j (h (e11))) = (e11)) -> (~((e10) = (e14))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((h (e10)) = (e22)) -> ((j (h (e10))) = (e10)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H5b zenon_H15a zenon_Ha2 zenon_H2f zenon_H28 zenon_Hb zenon_Hec zenon_H118 zenon_Hda zenon_H121 zenon_H3b zenon_H10c zenon_H47 zenon_H6c zenon_H85 zenon_H7f zenon_H87 zenon_H176 zenon_H1d zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H67 zenon_H97. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.01 apply (zenon_L252_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.01 apply (zenon_L192_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.01 apply (zenon_L309_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.01 apply (zenon_L312_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.01 apply (zenon_L313_); trivial. % 267.81/268.01 apply (zenon_L314_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.01 apply (zenon_L310_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.01 apply (zenon_L316_); trivial. % 267.81/268.01 apply (zenon_L319_); trivial. % 267.81/268.01 (* end of lemma zenon_L322_ *) % 267.81/268.01 assert (zenon_L323_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e13))) -> ((j (e23)) = (e13)) -> ((op2 (e21) (e24)) = (e23)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> (~((e11) = (e12))) -> ((op2 (e21) (e22)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e11)) -> ((j (e22)) = (e10)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_Hec zenon_H41 zenon_Hc6 zenon_H137 zenon_H13e zenon_H15 zenon_H118 zenon_Hda zenon_H6d zenon_H53 zenon_H62 zenon_H121 zenon_H44 zenon_Hc zenon_H154 zenon_H9a. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.01 apply (zenon_L186_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.01 apply (zenon_L226_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.01 apply (zenon_L182_); trivial. % 267.81/268.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.01 apply (zenon_L227_); trivial. % 267.81/268.01 apply (zenon_L228_); trivial. % 267.81/268.01 (* end of lemma zenon_L323_ *) % 267.81/268.01 assert (zenon_L324_ : ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((j (e24)) = (e10)) -> ((j (e21)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e24)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e11) = (e14))) -> False). % 267.81/268.01 do 0 intro. intros zenon_H13e zenon_Hd3 zenon_H53 zenon_H6d zenon_Hda zenon_H137 zenon_Hc7 zenon_H97. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((e11) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_H97. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((op1 (e14) (e14)) = (e11)) = ((e14) = (e11))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Ha3. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H6d. % 267.81/268.01 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.01 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.01 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Hea. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H30. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.01 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Heb. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H7c. % 267.81/268.01 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.01 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 267.81/268.01 congruence. % 267.81/268.01 cut (((j (e23)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Hea. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_Hc7. % 267.81/268.01 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.01 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 267.81/268.01 congruence. % 267.81/268.01 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 267.81/268.01 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 267.81/268.01 intro zenon_D_pnotp. % 267.81/268.01 apply zenon_Hc3. % 267.81/268.01 rewrite <- zenon_D_pnotp. % 267.81/268.01 exact zenon_H7c. % 267.81/268.01 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 267.81/268.01 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 267.81/268.01 congruence. % 267.81/268.01 apply (zenon_L177_); trivial. % 267.81/268.01 apply zenon_H7d. apply refl_equal. % 267.81/268.01 apply zenon_H7d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H7d. apply refl_equal. % 267.81/268.01 apply zenon_H7d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H14. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 apply zenon_H2d. apply refl_equal. % 267.81/268.01 (* end of lemma zenon_L324_ *) % 267.81/268.01 assert (zenon_L325_ : (~((j (h (e10))) = (j (e23)))) -> ((h (e10)) = (e23)) -> False). % 267.81/268.01 do 0 intro. intros zenon_H179 zenon_H17a. % 267.81/268.01 cut (((h (e10)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H17b]. % 267.81/268.01 congruence. % 267.81/268.01 exact (zenon_H17b zenon_H17a). % 267.81/268.01 (* end of lemma zenon_L325_ *) % 267.81/268.01 assert (zenon_L326_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> ((j (e23)) = (e13)) -> (~((e10) = (e13))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H1d zenon_H17a zenon_Hc6 zenon_H28. % 267.81/268.02 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.02 cut (((e13) = (e13)) = ((e10) = (e13))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H28. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H29. % 267.81/268.02 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.02 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (h (e10))) = (e10)) = ((e13) = (e10))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H2a. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H1d. % 267.81/268.02 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.02 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.02 cut (((e13) = (e13)) = ((j (h (e10))) = (e13))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H2b. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H29. % 267.81/268.02 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.02 cut (((e13) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((e13) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H2c. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (e23)) = (e13)) = ((j (h (e10))) = (e13))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H2b. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_Hc6. % 267.81/268.02 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.02 cut (((j (e23)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e23)) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H17c. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 267.81/268.02 congruence. % 267.81/268.02 apply (zenon_L325_); trivial. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H26. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H26. apply refl_equal. % 267.81/268.02 apply zenon_H26. apply refl_equal. % 267.81/268.02 apply zenon_H9. apply refl_equal. % 267.81/268.02 apply zenon_H26. apply refl_equal. % 267.81/268.02 apply zenon_H26. apply refl_equal. % 267.81/268.02 (* end of lemma zenon_L326_ *) % 267.81/268.02 assert (zenon_L327_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((h (e10)) = (e23)) -> ((j (h (e10))) = (e10)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (~((e13) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hc8 zenon_H41 zenon_H44 zenon_H28 zenon_H17a zenon_H1d zenon_H3b zenon_Hb5 zenon_H47. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L71_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L72_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L98_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L326_); trivial. % 267.81/268.02 apply (zenon_L78_); trivial. % 267.81/268.02 (* end of lemma zenon_L327_ *) % 267.81/268.02 assert (zenon_L328_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> ((j (e23)) = (e11)) -> (~((e10) = (e11))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H1d zenon_H17a zenon_Hb9 zenon_H87. % 267.81/268.02 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/268.02 cut (((e11) = (e11)) = ((e10) = (e11))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H87. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H18. % 267.81/268.02 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.02 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H172]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (h (e10))) = (e10)) = ((e11) = (e10))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H172. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H1d. % 267.81/268.02 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.02 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/268.02 cut (((e11) = (e11)) = ((j (h (e10))) = (e11))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H173. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H18. % 267.81/268.02 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.02 cut (((e11) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((e11) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H174. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (e23)) = (e11)) = ((j (h (e10))) = (e11))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H173. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_Hb9. % 267.81/268.02 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.02 cut (((j (e23)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e23)) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H17c. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 267.81/268.02 congruence. % 267.81/268.02 apply (zenon_L325_); trivial. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H14. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H14. apply refl_equal. % 267.81/268.02 apply zenon_H14. apply refl_equal. % 267.81/268.02 apply zenon_H9. apply refl_equal. % 267.81/268.02 apply zenon_H14. apply refl_equal. % 267.81/268.02 apply zenon_H14. apply refl_equal. % 267.81/268.02 (* end of lemma zenon_L328_ *) % 267.81/268.02 assert (zenon_L329_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> ((j (e23)) = (e12)) -> (~((e10) = (e12))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H1d zenon_H17a zenon_Hc5 zenon_Hb. % 267.81/268.02 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.02 cut (((e12) = (e12)) = ((e10) = (e12))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_Hb. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H1f. % 267.81/268.02 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.02 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (h (e10))) = (e10)) = ((e12) = (e10))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H20. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H1d. % 267.81/268.02 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.02 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.02 cut (((e12) = (e12)) = ((j (h (e10))) = (e12))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H21. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H1f. % 267.81/268.02 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.02 cut (((e12) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((e12) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H22. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (e23)) = (e12)) = ((j (h (e10))) = (e12))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H21. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_Hc5. % 267.81/268.02 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.02 cut (((j (e23)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e23)) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H17c. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 267.81/268.02 congruence. % 267.81/268.02 apply (zenon_L325_); trivial. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_Ha. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_Ha. apply refl_equal. % 267.81/268.02 apply zenon_Ha. apply refl_equal. % 267.81/268.02 apply zenon_H9. apply refl_equal. % 267.81/268.02 apply zenon_Ha. apply refl_equal. % 267.81/268.02 apply zenon_Ha. apply refl_equal. % 267.81/268.02 (* end of lemma zenon_L329_ *) % 267.81/268.02 assert (zenon_L330_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e10) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H1d zenon_H17a zenon_Hc7 zenon_H2f. % 267.81/268.02 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.02 cut (((e14) = (e14)) = ((e10) = (e14))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H2f. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H30. % 267.81/268.02 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.02 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (h (e10))) = (e10)) = ((e14) = (e10))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H31. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H1d. % 267.81/268.02 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.02 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.02 cut (((e14) = (e14)) = ((j (h (e10))) = (e14))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H32. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H30. % 267.81/268.02 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.02 cut (((e14) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((e14) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H33. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (e23)) = (e14)) = ((j (h (e10))) = (e14))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H32. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_Hc7. % 267.81/268.02 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.02 cut (((j (e23)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e23)) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H17c. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 267.81/268.02 congruence. % 267.81/268.02 apply (zenon_L325_); trivial. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H2d. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H2d. apply refl_equal. % 267.81/268.02 apply zenon_H2d. apply refl_equal. % 267.81/268.02 apply zenon_H9. apply refl_equal. % 267.81/268.02 apply zenon_H2d. apply refl_equal. % 267.81/268.02 apply zenon_H2d. apply refl_equal. % 267.81/268.02 (* end of lemma zenon_L330_ *) % 267.81/268.02 assert (zenon_L331_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e23)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H7f zenon_H2f zenon_H17a zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_Hec zenon_H107 zenon_H106 zenon_Hdf zenon_Hda zenon_Hde zenon_H3b zenon_H10c zenon_H47 zenon_Hc8 zenon_H15 zenon_H41 zenon_H72 zenon_H55 zenon_H6d zenon_H6c zenon_H67 zenon_H97. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L87_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L125_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L328_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L329_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L326_); trivial. % 267.81/268.02 apply (zenon_L330_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L107_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L37_); trivial. % 267.81/268.02 apply (zenon_L108_); trivial. % 267.81/268.02 (* end of lemma zenon_L331_ *) % 267.81/268.02 assert (zenon_L332_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e14))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e13) = (e14))) -> ((h (e13)) = (e24)) -> ((j (h (e13))) = (e13)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H5b zenon_H97 zenon_H67 zenon_H6c zenon_H6d zenon_H72 zenon_H41 zenon_H15 zenon_Hc8 zenon_H47 zenon_H10c zenon_H3b zenon_Hde zenon_Hda zenon_Hdf zenon_H106 zenon_H107 zenon_Hec zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H17a zenon_H2f zenon_H7f zenon_H44 zenon_Hc zenon_H51 zenon_H9a. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L28_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L23_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L331_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L25_); trivial. % 267.81/268.02 apply (zenon_L63_); trivial. % 267.81/268.02 (* end of lemma zenon_L332_ *) % 267.81/268.02 assert (zenon_L333_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e23)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((h (e13)) = (e24)) -> ((j (h (e13))) = (e13)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H7f zenon_H2f zenon_H17a zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_Hec zenon_H107 zenon_H106 zenon_H10c zenon_H3b zenon_Hde zenon_Hda zenon_Hdf zenon_Hc8 zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H5a zenon_H67 zenon_H97. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L142_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L219_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L328_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L329_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L326_); trivial. % 267.81/268.02 apply (zenon_L330_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L48_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L49_); trivial. % 267.81/268.02 apply (zenon_L115_); trivial. % 267.81/268.02 (* end of lemma zenon_L333_ *) % 267.81/268.02 assert (zenon_L334_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((op1 (e12) (e12)) = (e11)) -> ((h (e14)) = (e21)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e23)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((h (e13)) = (e24)) -> ((j (h (e13))) = (e13)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H5b zenon_H6c zenon_Haa zenon_H91 zenon_H47 zenon_H7f zenon_H2f zenon_H17a zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_Hec zenon_H107 zenon_H106 zenon_H10c zenon_H3b zenon_Hde zenon_Hda zenon_Hdf zenon_Hc8 zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H67 zenon_H97. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L140_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L141_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L331_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L62_); trivial. % 267.81/268.02 apply (zenon_L333_); trivial. % 267.81/268.02 (* end of lemma zenon_L334_ *) % 267.81/268.02 assert (zenon_L335_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hc8 zenon_H97 zenon_H9a zenon_Hcd zenon_H91 zenon_H47 zenon_H1d zenon_H17a zenon_H2f. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L82_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L83_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L84_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L85_); trivial. % 267.81/268.02 apply (zenon_L330_); trivial. % 267.81/268.02 (* end of lemma zenon_L335_ *) % 267.81/268.02 assert (zenon_L336_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((h (e10)) = (e23)) -> ((j (h (e10))) = (e10)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> (~((e12) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hc8 zenon_H15 zenon_Hb zenon_H17a zenon_H1d zenon_H44 zenon_Hc zenon_H14a zenon_H9a. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L210_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L202_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L329_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L206_); trivial. % 267.81/268.02 apply (zenon_L200_); trivial. % 267.81/268.02 (* end of lemma zenon_L336_ *) % 267.81/268.02 assert (zenon_L337_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((h (e14)) = (e21)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e23)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H5b zenon_Haa zenon_H91 zenon_H47 zenon_H7f zenon_H2f zenon_H17a zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_Hec zenon_H107 zenon_H106 zenon_Hdf zenon_Hda zenon_Hde zenon_H44 zenon_Hc zenon_H154 zenon_H9a zenon_Hc8 zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H67 zenon_H97. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L140_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L141_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L61_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L62_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L142_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L247_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L328_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L329_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L326_); trivial. % 267.81/268.02 apply (zenon_L330_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L48_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L49_); trivial. % 267.81/268.02 apply (zenon_L115_); trivial. % 267.81/268.02 (* end of lemma zenon_L337_ *) % 267.81/268.02 assert (zenon_L338_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e14))) -> ((op2 (e23) (e21)) = (e24)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e11)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hc8 zenon_H97 zenon_H124 zenon_H11d zenon_H6d zenon_H53 zenon_H12c zenon_H41 zenon_H15 zenon_H91 zenon_Hd1 zenon_Hec zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H17a zenon_H2f. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L173_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L328_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L329_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L326_); trivial. % 267.81/268.02 apply (zenon_L330_); trivial. % 267.81/268.02 (* end of lemma zenon_L338_ *) % 267.81/268.02 assert (zenon_L339_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e14))) -> ((op2 (e22) (e23)) = (e24)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e22)) = (e11)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (e21)) = (e12)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hc8 zenon_H97 zenon_Hdf zenon_Hda zenon_H6d zenon_H64 zenon_Hde zenon_H41 zenon_H15 zenon_H91 zenon_Hd1 zenon_H106 zenon_H107 zenon_H55 zenon_Hec zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H17a zenon_H2f. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.02 apply (zenon_L121_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.02 apply (zenon_L90_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.02 apply (zenon_L94_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.02 apply (zenon_L95_); trivial. % 267.81/268.02 apply (zenon_L96_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L328_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L329_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L326_); trivial. % 267.81/268.02 apply (zenon_L330_); trivial. % 267.81/268.02 (* end of lemma zenon_L339_ *) % 267.81/268.02 assert (zenon_L340_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e23)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H7f zenon_H2f zenon_H17a zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_Hec zenon_H107 zenon_H106 zenon_Hd1 zenon_H91 zenon_Hde zenon_Hda zenon_Hdf zenon_Hc8 zenon_H15 zenon_H41 zenon_H72 zenon_H55 zenon_H6d zenon_H6c zenon_H67 zenon_H97. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L87_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L339_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L107_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L37_); trivial. % 267.81/268.02 apply (zenon_L108_); trivial. % 267.81/268.02 (* end of lemma zenon_L340_ *) % 267.81/268.02 assert (zenon_L341_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e23)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H7f zenon_H2f zenon_H17a zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_Hec zenon_Hd1 zenon_H91 zenon_Hde zenon_Hda zenon_Hdf zenon_Hc8 zenon_H15 zenon_H41 zenon_H72 zenon_H56 zenon_H6d zenon_H85 zenon_H67 zenon_H97. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L43_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L97_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L328_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L329_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L326_); trivial. % 267.81/268.02 apply (zenon_L330_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L112_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L44_); trivial. % 267.81/268.02 apply (zenon_L113_); trivial. % 267.81/268.02 (* end of lemma zenon_L341_ *) % 267.81/268.02 assert (zenon_L342_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e13) = (e14))) -> ((h (e13)) = (e24)) -> ((j (h (e13))) = (e13)) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (e21)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hc8 zenon_H47 zenon_H10c zenon_H3b zenon_H12c zenon_H53 zenon_H6d zenon_H11d zenon_H124 zenon_H41 zenon_H15 zenon_Hec zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H17a zenon_H2f. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L193_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L328_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L329_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L326_); trivial. % 267.81/268.02 apply (zenon_L330_); trivial. % 267.81/268.02 (* end of lemma zenon_L342_ *) % 267.81/268.02 assert (zenon_L343_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e12) = (e14))) -> ((h (e12)) = (e24)) -> ((j (h (e12))) = (e12)) -> (~((e12) = (e13))) -> ((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) -> ((j (e21)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e23) (e21)) = (e24)) -> (~((e11) = (e12))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hc8 zenon_H9a zenon_H154 zenon_Hc zenon_H44 zenon_H12c zenon_H53 zenon_H6d zenon_H11d zenon_H124 zenon_H15 zenon_Hec zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H17a zenon_H2f. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L245_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L328_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L329_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L326_); trivial. % 267.81/268.02 apply (zenon_L330_); trivial. % 267.81/268.02 (* end of lemma zenon_L343_ *) % 267.81/268.02 assert (zenon_L344_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e12) = (e14))) -> ((h (e12)) = (e24)) -> ((j (h (e12))) = (e12)) -> (~((e12) = (e13))) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((j (e22)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (~((e11) = (e12))) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op2 (e22) (e24)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e11) = (e13))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hc8 zenon_H9a zenon_H154 zenon_Hc zenon_H44 zenon_Hde zenon_H64 zenon_H6d zenon_Hda zenon_Hdf zenon_H15 zenon_H106 zenon_H107 zenon_H56 zenon_H41 zenon_Hec zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H17a zenon_H2f. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L229_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L328_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L329_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L326_); trivial. % 267.81/268.02 apply (zenon_L330_); trivial. % 267.81/268.02 (* end of lemma zenon_L344_ *) % 267.81/268.02 assert (zenon_L345_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e12) (e12)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> (~((e10) = (e14))) -> ((h (e10)) = (e23)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (e21)) = (e12)) -> ((op2 (e22) (e24)) = (e21)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> ((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e23)) = (e24)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H7f zenon_H67 zenon_H6c zenon_H72 zenon_H2f zenon_H17a zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_Hec zenon_H55 zenon_H107 zenon_H106 zenon_Hd1 zenon_H91 zenon_Hde zenon_H6d zenon_Hda zenon_Hdf zenon_Hc8 zenon_H15 zenon_H41 zenon_Ha2 zenon_H161 zenon_H97. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L87_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L339_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L255_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L256_); trivial. % 267.81/268.02 apply (zenon_L257_); trivial. % 267.81/268.02 (* end of lemma zenon_L345_ *) % 267.81/268.02 assert (zenon_L346_ : (~((j (h (e10))) = (j (e24)))) -> ((h (e10)) = (e24)) -> False). % 267.81/268.02 do 0 intro. intros zenon_H17d zenon_H17e. % 267.81/268.02 cut (((h (e10)) = (e24))); [idtac | apply NNPP; zenon_intro zenon_H17f]. % 267.81/268.02 congruence. % 267.81/268.02 exact (zenon_H17f zenon_H17e). % 267.81/268.02 (* end of lemma zenon_L346_ *) % 267.81/268.02 assert (zenon_L347_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> ((j (e24)) = (e11)) -> (~((e10) = (e11))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H1d zenon_H17e zenon_Hd5 zenon_H87. % 267.81/268.02 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/268.02 cut (((e11) = (e11)) = ((e10) = (e11))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H87. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H18. % 267.81/268.02 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.02 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H172]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (h (e10))) = (e10)) = ((e11) = (e10))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H172. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H1d. % 267.81/268.02 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.02 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 267.81/268.02 cut (((e11) = (e11)) = ((j (h (e10))) = (e11))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H173. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H18. % 267.81/268.02 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.02 cut (((e11) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((e11) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H174. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (e24)) = (e11)) = ((j (h (e10))) = (e11))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H173. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_Hd5. % 267.81/268.02 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 267.81/268.02 cut (((j (e24)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H180]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e24)) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H180. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 267.81/268.02 congruence. % 267.81/268.02 apply (zenon_L346_); trivial. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H14. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H14. apply refl_equal. % 267.81/268.02 apply zenon_H14. apply refl_equal. % 267.81/268.02 apply zenon_H9. apply refl_equal. % 267.81/268.02 apply zenon_H14. apply refl_equal. % 267.81/268.02 apply zenon_H14. apply refl_equal. % 267.81/268.02 (* end of lemma zenon_L347_ *) % 267.81/268.02 assert (zenon_L348_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> ((j (e24)) = (e12)) -> (~((e10) = (e12))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H1d zenon_H17e zenon_He7 zenon_Hb. % 267.81/268.02 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.02 cut (((e12) = (e12)) = ((e10) = (e12))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_Hb. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H1f. % 267.81/268.02 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.02 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (h (e10))) = (e10)) = ((e12) = (e10))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H20. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H1d. % 267.81/268.02 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.02 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 267.81/268.02 cut (((e12) = (e12)) = ((j (h (e10))) = (e12))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H21. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H1f. % 267.81/268.02 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.02 cut (((e12) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((e12) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H22. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (e24)) = (e12)) = ((j (h (e10))) = (e12))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H21. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_He7. % 267.81/268.02 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 267.81/268.02 cut (((j (e24)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H180]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e24)) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H180. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 267.81/268.02 congruence. % 267.81/268.02 apply (zenon_L346_); trivial. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_Ha. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_Ha. apply refl_equal. % 267.81/268.02 apply zenon_Ha. apply refl_equal. % 267.81/268.02 apply zenon_H9. apply refl_equal. % 267.81/268.02 apply zenon_Ha. apply refl_equal. % 267.81/268.02 apply zenon_Ha. apply refl_equal. % 267.81/268.02 (* end of lemma zenon_L348_ *) % 267.81/268.02 assert (zenon_L349_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> ((j (e24)) = (e13)) -> (~((e10) = (e13))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H1d zenon_H17e zenon_He8 zenon_H28. % 267.81/268.02 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.02 cut (((e13) = (e13)) = ((e10) = (e13))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H28. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H29. % 267.81/268.02 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.02 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (h (e10))) = (e10)) = ((e13) = (e10))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H2a. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H1d. % 267.81/268.02 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.02 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 267.81/268.02 cut (((e13) = (e13)) = ((j (h (e10))) = (e13))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H2b. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H29. % 267.81/268.02 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.02 cut (((e13) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((e13) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H2c. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (e24)) = (e13)) = ((j (h (e10))) = (e13))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H2b. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_He8. % 267.81/268.02 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 267.81/268.02 cut (((j (e24)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H180]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e24)) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H180. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 267.81/268.02 congruence. % 267.81/268.02 apply (zenon_L346_); trivial. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H26. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H26. apply refl_equal. % 267.81/268.02 apply zenon_H26. apply refl_equal. % 267.81/268.02 apply zenon_H9. apply refl_equal. % 267.81/268.02 apply zenon_H26. apply refl_equal. % 267.81/268.02 apply zenon_H26. apply refl_equal. % 267.81/268.02 (* end of lemma zenon_L349_ *) % 267.81/268.02 assert (zenon_L350_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> ((j (e24)) = (e14)) -> (~((e10) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H1d zenon_H17e zenon_He9 zenon_H2f. % 267.81/268.02 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.02 cut (((e14) = (e14)) = ((e10) = (e14))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H2f. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H30. % 267.81/268.02 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.02 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (h (e10))) = (e10)) = ((e14) = (e10))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H31. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H1d. % 267.81/268.02 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 267.81/268.02 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 267.81/268.02 cut (((e14) = (e14)) = ((j (h (e10))) = (e14))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H32. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H30. % 267.81/268.02 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.02 cut (((e14) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((e14) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H33. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 267.81/268.02 congruence. % 267.81/268.02 cut (((j (e24)) = (e14)) = ((j (h (e10))) = (e14))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H32. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_He9. % 267.81/268.02 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 267.81/268.02 cut (((j (e24)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H180]. % 267.81/268.02 congruence. % 267.81/268.02 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e24)) = (j (h (e10))))). % 267.81/268.02 intro zenon_D_pnotp. % 267.81/268.02 apply zenon_H180. % 267.81/268.02 rewrite <- zenon_D_pnotp. % 267.81/268.02 exact zenon_H23. % 267.81/268.02 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 267.81/268.02 cut (((j (h (e10))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 267.81/268.02 congruence. % 267.81/268.02 apply (zenon_L346_); trivial. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H2d. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H24. apply refl_equal. % 267.81/268.02 apply zenon_H2d. apply refl_equal. % 267.81/268.02 apply zenon_H2d. apply refl_equal. % 267.81/268.02 apply zenon_H9. apply refl_equal. % 267.81/268.02 apply zenon_H2d. apply refl_equal. % 267.81/268.02 apply zenon_H2d. apply refl_equal. % 267.81/268.02 (* end of lemma zenon_L350_ *) % 267.81/268.02 assert (zenon_L351_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e24)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H7f zenon_H2f zenon_H17e zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_H106 zenon_Hda zenon_H107 zenon_Hec zenon_H15 zenon_H41 zenon_H72 zenon_H55 zenon_H6d zenon_H6c zenon_H67 zenon_H97. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L87_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.02 apply (zenon_L121_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.02 apply (zenon_L347_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.02 apply (zenon_L348_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.02 apply (zenon_L349_); trivial. % 267.81/268.02 apply (zenon_L350_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L107_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L37_); trivial. % 267.81/268.02 apply (zenon_L108_); trivial. % 267.81/268.02 (* end of lemma zenon_L351_ *) % 267.81/268.02 assert (zenon_L352_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e14))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e22) (e24)) = (e21)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> (~((e10) = (e14))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H5b zenon_H97 zenon_H67 zenon_H6c zenon_H6d zenon_H72 zenon_H41 zenon_H15 zenon_Hec zenon_H107 zenon_Hda zenon_H106 zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H17e zenon_H2f zenon_H7f zenon_H44 zenon_Hc zenon_H51 zenon_H9a. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L28_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L23_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L351_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L25_); trivial. % 267.81/268.02 apply (zenon_L63_); trivial. % 267.81/268.02 (* end of lemma zenon_L352_ *) % 267.81/268.02 assert (zenon_L353_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> (~((e10) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hec zenon_H97 zenon_H9a zenon_Hd1 zenon_H91 zenon_H47 zenon_H1d zenon_H17e zenon_H2f. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.02 apply (zenon_L89_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.02 apply (zenon_L90_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.02 apply (zenon_L128_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.02 apply (zenon_L129_); trivial. % 267.81/268.02 apply (zenon_L350_); trivial. % 267.81/268.02 (* end of lemma zenon_L353_ *) % 267.81/268.02 assert (zenon_L354_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((h (e10)) = (e24)) -> ((j (h (e10))) = (e10)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> (~((e13) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hec zenon_H41 zenon_H44 zenon_H28 zenon_H17e zenon_H1d zenon_H3b zenon_H10c zenon_H47. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.02 apply (zenon_L189_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.02 apply (zenon_L123_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.02 apply (zenon_L250_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.02 apply (zenon_L349_); trivial. % 267.81/268.02 apply (zenon_L124_); trivial. % 267.81/268.02 (* end of lemma zenon_L354_ *) % 267.81/268.02 assert (zenon_L355_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e24)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H7f zenon_H2f zenon_H17e zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_H106 zenon_Hda zenon_H107 zenon_Hec zenon_H15 zenon_H41 zenon_H72 zenon_H56 zenon_H6d zenon_H85 zenon_H67 zenon_H97. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L43_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.02 apply (zenon_L224_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.02 apply (zenon_L347_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.02 apply (zenon_L348_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.02 apply (zenon_L349_); trivial. % 267.81/268.02 apply (zenon_L350_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L112_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L44_); trivial. % 267.81/268.02 apply (zenon_L113_); trivial. % 267.81/268.02 (* end of lemma zenon_L355_ *) % 267.81/268.02 assert (zenon_L356_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e12) = (e13))) -> (~((e11) = (e14))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e22) (e24)) = (e21)) -> ((op1 (e11) (e10)) = (e11)) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> (~((e10) = (e14))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> (~((e13) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H5b zenon_H44 zenon_H97 zenon_H67 zenon_H85 zenon_H6d zenon_H72 zenon_H41 zenon_H15 zenon_Hec zenon_H107 zenon_Hda zenon_H106 zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H17e zenon_H2f zenon_H7f zenon_H3b zenon_H4c zenon_H47. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L21_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L132_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L24_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L355_); trivial. % 267.81/268.02 apply (zenon_L26_); trivial. % 267.81/268.02 (* end of lemma zenon_L356_ *) % 267.81/268.02 assert (zenon_L357_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((h (e10)) = (e24)) -> ((j (h (e10))) = (e10)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> (~((e12) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hec zenon_H15 zenon_Hb zenon_H17e zenon_H1d zenon_H44 zenon_Hc zenon_H154 zenon_H9a. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.02 apply (zenon_L235_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.02 apply (zenon_L226_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.02 apply (zenon_L348_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.02 apply (zenon_L227_); trivial. % 267.81/268.02 apply (zenon_L228_); trivial. % 267.81/268.02 (* end of lemma zenon_L357_ *) % 267.81/268.02 assert (zenon_L358_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e12))) -> ((j (e23)) = (e12)) -> ((op2 (e21) (e24)) = (e23)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e11)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> (~((e10) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hec zenon_H15 zenon_Hc5 zenon_H137 zenon_Hda zenon_H6d zenon_H53 zenon_H13e zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H17e zenon_H2f. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.02 apply (zenon_L178_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.02 apply (zenon_L347_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.02 apply (zenon_L348_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.02 apply (zenon_L349_); trivial. % 267.81/268.02 apply (zenon_L350_); trivial. % 267.81/268.02 (* end of lemma zenon_L358_ *) % 267.81/268.02 assert (zenon_L359_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e14))) -> ((op2 (e21) (e24)) = (e23)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((j (e21)) = (e11)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> (~((e10) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hc8 zenon_H15 zenon_Hcd zenon_H91 zenon_H47 zenon_Hec zenon_H97 zenon_H137 zenon_Hda zenon_H6d zenon_H53 zenon_H13e zenon_H87 zenon_Hb zenon_H28 zenon_H1d zenon_H17e zenon_H2f. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L82_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L83_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L358_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L85_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.02 apply (zenon_L324_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.02 apply (zenon_L347_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.02 apply (zenon_L348_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.02 apply (zenon_L349_); trivial. % 267.81/268.02 apply (zenon_L350_); trivial. % 267.81/268.02 (* end of lemma zenon_L359_ *) % 267.81/268.02 assert (zenon_L360_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e12) = (e13))) -> (~((e10) = (e14))) -> ((h (e10)) = (e24)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((j (e21)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e24)) = (e23)) -> (~((e11) = (e13))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (~((e13) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hc8 zenon_H44 zenon_H2f zenon_H17e zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_H13e zenon_H53 zenon_H6d zenon_Hda zenon_H137 zenon_H41 zenon_Hec zenon_H3b zenon_Hb5 zenon_H47. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L71_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L72_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L98_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.02 apply (zenon_L186_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.02 apply (zenon_L347_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.02 apply (zenon_L348_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.02 apply (zenon_L349_); trivial. % 267.81/268.02 apply (zenon_L350_); trivial. % 267.81/268.02 apply (zenon_L78_); trivial. % 267.81/268.02 (* end of lemma zenon_L360_ *) % 267.81/268.02 assert (zenon_L361_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e24)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H7f zenon_H2f zenon_H17e zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_H106 zenon_Hda zenon_H107 zenon_Hec zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H5a zenon_H67 zenon_H97. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L142_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.02 apply (zenon_L218_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.02 apply (zenon_L347_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.02 apply (zenon_L348_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.02 apply (zenon_L349_); trivial. % 267.81/268.02 apply (zenon_L350_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L48_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L49_); trivial. % 267.81/268.02 apply (zenon_L115_); trivial. % 267.81/268.02 (* end of lemma zenon_L361_ *) % 267.81/268.02 assert (zenon_L362_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((h (e11)) = (e21)) -> ((j (h (e11))) = (e11)) -> (~((e13) = (e14))) -> ((h (e13)) = (e23)) -> ((j (h (e13))) = (e13)) -> ((op2 (e21) (e24)) = (e23)) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> (~((e12) = (e13))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e24)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H5b zenon_H15a zenon_Ha2 zenon_H47 zenon_Hb5 zenon_H3b zenon_H137 zenon_H13e zenon_H44 zenon_Hc8 zenon_H6c zenon_H85 zenon_H7f zenon_H2f zenon_H17e zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_H106 zenon_Hda zenon_H107 zenon_Hec zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H67 zenon_H97. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L252_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L360_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L351_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L355_); trivial. % 267.81/268.02 apply (zenon_L361_); trivial. % 267.81/268.02 (* end of lemma zenon_L362_ *) % 267.81/268.02 assert (zenon_L363_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e12) = (e14))) -> ((h (e14)) = (e21)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e24)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> ((j (op2 (e22) (e24))) = (op1 (j (e22)) (j (e24)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((op1 (e14) (e14)) = (e11)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_H5b zenon_H9a zenon_Haa zenon_H91 zenon_H47 zenon_H7f zenon_H2f zenon_H17e zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_H106 zenon_Hda zenon_H107 zenon_Hec zenon_H15 zenon_H41 zenon_H6d zenon_H72 zenon_H67 zenon_H97. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L140_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L141_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L61_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L62_); trivial. % 267.81/268.02 apply (zenon_L361_); trivial. % 267.81/268.02 (* end of lemma zenon_L363_ *) % 267.81/268.02 assert (zenon_L364_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e24)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> ((j (op2 (e21) (e24))) = (op1 (j (e21)) (j (e24)))) -> ((j (e21)) = (e11)) -> ((op1 (e14) (e14)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e24)) = (e23)) -> (~((e11) = (e12))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> (~((e12) = (e14))) -> False). % 267.81/268.02 do 0 intro. intros zenon_Hc8 zenon_H2f zenon_H17e zenon_H1d zenon_H28 zenon_Hb zenon_H87 zenon_H13e zenon_H53 zenon_H6d zenon_Hda zenon_H137 zenon_H15 zenon_Hec zenon_H44 zenon_Hc zenon_H14a zenon_H9a. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L210_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L202_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L358_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L206_); trivial. % 267.81/268.02 apply (zenon_L200_); trivial. % 267.81/268.02 (* end of lemma zenon_L364_ *) % 267.81/268.02 apply NNPP. intro zenon_G. % 267.81/268.02 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H87. zenon_intro zenon_H181. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_Hb. zenon_intro zenon_H182. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H28. zenon_intro zenon_H183. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H2f. zenon_intro zenon_H184. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H15. zenon_intro zenon_H185. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H41. zenon_intro zenon_H186. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H97. zenon_intro zenon_H187. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H44. zenon_intro zenon_H188. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H9a. zenon_intro zenon_H47. % 267.81/268.02 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H18a. zenon_intro zenon_H189. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H11d. zenon_intro zenon_H18b. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H18d. zenon_intro zenon_H18c. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Hda. zenon_intro zenon_H192. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H194. zenon_intro zenon_H193. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H196. zenon_intro zenon_H195. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H198. zenon_intro zenon_H197. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H19a. zenon_intro zenon_H199. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H19c. zenon_intro zenon_H19b. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H19e. zenon_intro zenon_H19d. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H6c. zenon_intro zenon_H19f. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H1a5. zenon_intro zenon_H1a4. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H1a7. zenon_intro zenon_H1a6. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H1a9. zenon_intro zenon_H1a8. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H85. zenon_intro zenon_H1aa. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H1ac. zenon_intro zenon_H1ab. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H1b0. zenon_intro zenon_H1af. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H1b2. zenon_intro zenon_H1b1. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1b3. zenon_intro zenon_H6d. % 267.81/268.02 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b4. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1b7. zenon_intro zenon_H1b6. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H1b9. zenon_intro zenon_H1b8. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1bb. zenon_intro zenon_H1ba. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1bd. zenon_intro zenon_H1bc. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1bf. zenon_intro zenon_H1be. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H67. zenon_intro zenon_H1c0. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H118. zenon_intro zenon_H1c1. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H1c3. zenon_intro zenon_H1c2. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H137. zenon_intro zenon_H1c4. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1c8. zenon_intro zenon_H1c7. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Hbb. zenon_intro zenon_H1c9. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_Hdf. zenon_intro zenon_H1ca. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H107. zenon_intro zenon_H1cb. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H1cd. zenon_intro zenon_H1cc. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H124. zenon_intro zenon_H1ce. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_Hf1. zenon_intro zenon_H1d1. % 267.81/268.02 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H1d3. zenon_intro zenon_H1d2. % 267.81/268.02 apply zenon_H1d2. zenon_intro zenon_H1d4. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1dc. zenon_intro zenon_H1db. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1de. zenon_intro zenon_H1dd. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1e0. zenon_intro zenon_H1df. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1e2. zenon_intro zenon_H1e1. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1e4. zenon_intro zenon_H1e3. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1e6. zenon_intro zenon_H1e5. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H1e8. zenon_intro zenon_H1e7. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1ea. zenon_intro zenon_H1e9. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1ec. zenon_intro zenon_H1eb. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1ee. zenon_intro zenon_H1ed. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1f0. zenon_intro zenon_H1ef. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1f2. zenon_intro zenon_H1f1. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1f4. zenon_intro zenon_H1f3. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1f6. zenon_intro zenon_H1f5. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1f8. zenon_intro zenon_H1f7. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1fa. zenon_intro zenon_H1f9. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H1fc. zenon_intro zenon_H1fb. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H72. zenon_intro zenon_H213. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H121. zenon_intro zenon_H214. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H216. zenon_intro zenon_H215. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H13e. zenon_intro zenon_H217. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H218. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Hbf. zenon_intro zenon_H21c. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_Hde. zenon_intro zenon_H21d. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H106. zenon_intro zenon_H21e. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H12c. zenon_intro zenon_H221. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H223. zenon_intro zenon_H222. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Hf9. zenon_intro zenon_H224. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H226. zenon_intro zenon_H225. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H228. zenon_intro zenon_H227. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22a. zenon_intro zenon_H229. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22c. zenon_intro zenon_H22b. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H22e. zenon_intro zenon_H22d. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H230. zenon_intro zenon_H22f. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H22f). zenon_intro zenon_H232. zenon_intro zenon_H231. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H234. zenon_intro zenon_H233. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H236. zenon_intro zenon_H235. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H238. zenon_intro zenon_H237. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H23a. zenon_intro zenon_H239. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H1d. zenon_intro zenon_H23b. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_Ha2. zenon_intro zenon_H23c. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H23c). zenon_intro zenon_Hc. zenon_intro zenon_H23d. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H3b. zenon_intro zenon_H91. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H23f. zenon_intro zenon_H23e. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H241. zenon_intro zenon_H240. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H243. zenon_intro zenon_H242. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H143. zenon_intro zenon_H244. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H10f. zenon_intro zenon_H245. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H34. zenon_intro zenon_H246. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H5b. zenon_intro zenon_H247. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7f. zenon_intro zenon_H248. % 267.81/268.02 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_Hc8. zenon_intro zenon_Hec. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1b | zenon_intro zenon_H249 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H24a ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_L13_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L27_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L51_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L59_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L64_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L80_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L28_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L23_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L109_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L25_); trivial. % 267.81/268.02 apply (zenon_L63_); trivial. % 267.81/268.02 apply (zenon_L131_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_L194_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L196_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L197_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L198_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L201_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L21_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L132_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L24_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L209_); trivial. % 267.81/268.02 apply (zenon_L26_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L216_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L217_); trivial. % 267.81/268.02 apply (zenon_L223_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L59_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L197_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L198_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L21_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L132_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L24_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L231_); trivial. % 267.81/268.02 apply (zenon_L26_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L246_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L140_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L141_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L61_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L62_); trivial. % 267.81/268.02 apply (zenon_L249_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L80_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_L251_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H15a | zenon_intro zenon_H24e ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_L13_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L27_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L51_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L64_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L117_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L252_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L23_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L109_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L25_); trivial. % 267.81/268.02 apply (zenon_L63_); trivial. % 267.81/268.02 apply (zenon_L131_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_L194_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L197_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L198_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L201_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L252_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L132_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L24_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L209_); trivial. % 267.81/268.02 apply (zenon_L26_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L216_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L217_); trivial. % 267.81/268.02 apply (zenon_L223_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L197_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L198_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L252_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L132_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L24_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L231_); trivial. % 267.81/268.02 apply (zenon_L26_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L246_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L252_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L141_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L61_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L62_); trivial. % 267.81/268.02 apply (zenon_L249_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L80_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_L251_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H161 | zenon_intro zenon_H24f ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_L13_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L27_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L51_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L64_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L117_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L258_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L23_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L87_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L106_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L255_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L256_); trivial. % 267.81/268.02 apply (zenon_L79_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L25_); trivial. % 267.81/268.02 apply (zenon_L63_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L64_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L259_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L127_); trivial. % 267.81/268.02 apply (zenon_L130_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_L260_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L197_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L198_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L201_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L262_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L132_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L24_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L254_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L208_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L112_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L44_); trivial. % 267.81/268.02 apply (zenon_L113_); trivial. % 267.81/268.02 apply (zenon_L26_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L216_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L217_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L265_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L141_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L61_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L62_); trivial. % 267.81/268.02 apply (zenon_L221_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L259_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L201_); trivial. % 267.81/268.02 apply (zenon_L130_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L197_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L198_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L266_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L132_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L24_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L254_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L230_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L112_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L44_); trivial. % 267.81/268.02 apply (zenon_L113_); trivial. % 267.81/268.02 apply (zenon_L26_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L267_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L269_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L141_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L61_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L62_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L254_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L248_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L48_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L49_); trivial. % 267.81/268.02 apply (zenon_L115_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L80_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_L251_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H167 | zenon_intro zenon_H16b ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_L13_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L27_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L51_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L272_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L64_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L117_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L274_); trivial. % 267.81/268.02 apply (zenon_L130_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L138_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L139_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L272_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L144_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L145_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L274_); trivial. % 267.81/268.02 apply (zenon_L130_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_L276_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L197_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L198_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L274_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L233_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L234_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L274_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L272_); trivial. % 267.81/268.02 apply (zenon_L251_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_L13_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L27_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L51_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L64_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L117_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_L279_); trivial. % 267.81/268.02 apply (zenon_L281_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L138_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L139_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L144_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L145_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_L279_); trivial. % 267.81/268.02 apply (zenon_L281_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L19_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L110_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L197_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L198_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L201_); trivial. % 267.81/268.02 apply (zenon_L279_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L216_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L217_); trivial. % 267.81/268.02 apply (zenon_L281_); trivial. % 267.81/268.02 apply (zenon_L283_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H16f | zenon_intro zenon_H250 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H24a ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_L287_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_L290_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L196_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L292_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L139_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L59_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L144_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L145_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L167_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L289_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L294_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L59_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L295_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L145_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L191_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L188_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L137_); trivial. % 267.81/268.02 apply (zenon_L143_); trivial. % 267.81/268.02 apply (zenon_L130_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L196_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L292_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L59_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L295_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L234_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L201_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L30_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L154_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L32_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L210_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L161_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L214_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L206_); trivial. % 267.81/268.02 apply (zenon_L215_); trivial. % 267.81/268.02 apply (zenon_L38_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L39_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L45_); trivial. % 267.81/268.02 apply (zenon_L50_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L217_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L59_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L295_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L66_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L264_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L68_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L69_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L210_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L190_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L76_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L77_); trivial. % 267.81/268.02 apply (zenon_L200_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L111_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L114_); trivial. % 267.81/268.02 apply (zenon_L116_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L201_); trivial. % 267.81/268.02 apply (zenon_L130_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L196_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L292_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L59_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L295_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L234_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L244_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L39_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L45_); trivial. % 267.81/268.02 apply (zenon_L50_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L59_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L295_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L66_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L268_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L68_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L69_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L71_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L236_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L98_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L77_); trivial. % 267.81/268.02 apply (zenon_L78_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L111_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L114_); trivial. % 267.81/268.02 apply (zenon_L116_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_L251_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H15a | zenon_intro zenon_H24e ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L252_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L289_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L294_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H161 | zenon_intro zenon_H24f ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L296_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L292_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L267_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L297_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L295_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L259_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L258_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L289_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L294_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L297_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L295_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L259_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L254_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L82_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L190_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L263_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L85_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.02 apply (zenon_L189_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.02 apply (zenon_L242_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.02 apply (zenon_L151_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.02 apply (zenon_L152_); trivial. % 267.81/268.02 apply (zenon_L153_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L255_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L256_); trivial. % 267.81/268.02 apply (zenon_L257_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L289_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L294_); trivial. % 267.81/268.02 apply (zenon_L130_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_L290_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_L260_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L298_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L295_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L259_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L201_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L262_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L289_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L294_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L292_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L267_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L217_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L265_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L289_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L294_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L298_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L295_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L259_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L266_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L289_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L294_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L292_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L267_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L269_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L289_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L294_); trivial. % 267.81/268.02 apply (zenon_L251_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H167 | zenon_intro zenon_H16b ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L296_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L297_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L295_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L198_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L274_); trivial. % 267.81/268.02 apply (zenon_L300_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L297_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L295_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L234_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L274_); trivial. % 267.81/268.02 apply (zenon_L300_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L272_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L297_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L295_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L301_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L111_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L114_); trivial. % 267.81/268.02 apply (zenon_L116_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L274_); trivial. % 267.81/268.02 apply (zenon_L130_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L298_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L64_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L117_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L274_); trivial. % 267.81/268.02 apply (zenon_L300_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L27_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L51_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L272_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L301_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L23_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L289_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L25_); trivial. % 267.81/268.02 apply (zenon_L63_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L298_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L144_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L145_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L274_); trivial. % 267.81/268.02 apply (zenon_L300_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L138_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L139_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L272_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L301_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L188_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L137_); trivial. % 267.81/268.02 apply (zenon_L143_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_L276_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L299_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L236_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L275_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L271_); trivial. % 267.81/268.02 apply (zenon_L273_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L289_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L294_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L296_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L297_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L197_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L198_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L305_); trivial. % 267.81/268.02 apply (zenon_L279_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L297_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L233_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L234_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L305_); trivial. % 267.81/268.02 apply (zenon_L279_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L306_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L289_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L294_); trivial. % 267.81/268.02 apply (zenon_L281_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L298_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L64_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L117_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L305_); trivial. % 267.81/268.02 apply (zenon_L279_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L27_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L51_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L306_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L23_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L289_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L25_); trivial. % 267.81/268.02 apply (zenon_L63_); trivial. % 267.81/268.02 apply (zenon_L281_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L298_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L144_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L145_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L304_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L188_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L137_); trivial. % 267.81/268.02 apply (zenon_L143_); trivial. % 267.81/268.02 apply (zenon_L279_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L138_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L139_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L306_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L188_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L294_); trivial. % 267.81/268.02 apply (zenon_L281_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L298_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L307_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L61_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L294_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L307_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L111_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L114_); trivial. % 267.81/268.02 apply (zenon_L116_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L201_); trivial. % 267.81/268.02 apply (zenon_L279_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L307_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L132_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L24_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L291_); trivial. % 267.81/268.02 apply (zenon_L26_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L307_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_L293_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L39_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L45_); trivial. % 267.81/268.02 apply (zenon_L50_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L217_); trivial. % 267.81/268.02 apply (zenon_L281_); trivial. % 267.81/268.02 apply (zenon_L283_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H176 | zenon_intro zenon_H251 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H24a ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_L287_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_L311_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_L315_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L196_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L317_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L318_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L217_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L59_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L320_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L321_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L201_); trivial. % 267.81/268.02 apply (zenon_L130_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L196_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L317_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L318_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L59_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L320_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L321_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_L251_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H15a | zenon_intro zenon_H24e ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L296_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L317_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L318_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L297_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L320_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L321_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L252_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L187_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L309_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L312_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L313_); trivial. % 267.81/268.02 apply (zenon_L314_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L310_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L316_); trivial. % 267.81/268.02 apply (zenon_L319_); trivial. % 267.81/268.02 apply (zenon_L322_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_L311_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_L315_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L298_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L320_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L321_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L201_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L252_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L173_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L202_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L185_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L206_); trivial. % 267.81/268.02 apply (zenon_L200_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L309_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L312_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L313_); trivial. % 267.81/268.02 apply (zenon_L314_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L310_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L316_); trivial. % 267.81/268.02 apply (zenon_L319_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L317_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L318_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L217_); trivial. % 267.81/268.02 apply (zenon_L322_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L298_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L320_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L321_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L252_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L245_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L83_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L84_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L323_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.02 apply (zenon_L324_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.02 apply (zenon_L226_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.02 apply (zenon_L182_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.02 apply (zenon_L227_); trivial. % 267.81/268.02 apply (zenon_L228_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L309_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L312_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L313_); trivial. % 267.81/268.02 apply (zenon_L314_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L310_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L316_); trivial. % 267.81/268.02 apply (zenon_L319_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L317_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L318_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.02 apply (zenon_L252_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.02 apply (zenon_L245_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.02 apply (zenon_L72_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.02 apply (zenon_L98_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.02 apply (zenon_L323_); trivial. % 267.81/268.02 apply (zenon_L78_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L309_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L312_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L313_); trivial. % 267.81/268.02 apply (zenon_L314_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.02 apply (zenon_L310_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.02 apply (zenon_L316_); trivial. % 267.81/268.02 apply (zenon_L319_); trivial. % 267.81/268.02 apply (zenon_L251_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H161 | zenon_intro zenon_H24f ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.02 apply (zenon_L254_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.02 apply (zenon_L309_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.02 apply (zenon_L255_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.02 apply (zenon_L256_); trivial. % 267.81/268.02 apply (zenon_L257_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H167 | zenon_intro zenon_H16b ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L296_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L317_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L318_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L272_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L297_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L320_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L321_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L274_); trivial. % 267.81/268.02 apply (zenon_L130_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_L311_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_L315_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_L276_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L298_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L320_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L321_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L274_); trivial. % 267.81/268.02 apply (zenon_L232_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L317_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L318_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L272_); trivial. % 267.81/268.02 apply (zenon_L251_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L296_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L317_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L318_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L297_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L320_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L321_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L86_); trivial. % 267.81/268.02 apply (zenon_L279_); trivial. % 267.81/268.02 apply (zenon_L281_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_L311_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_L315_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.02 apply (zenon_L298_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.02 apply (zenon_L320_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.02 apply (zenon_L321_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.02 apply (zenon_L201_); trivial. % 267.81/268.02 apply (zenon_L279_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L317_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L318_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L217_); trivial. % 267.81/268.02 apply (zenon_L281_); trivial. % 267.81/268.02 apply (zenon_L283_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H17a | zenon_intro zenon_H17e ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H24a ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.02 apply (zenon_L287_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L196_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.02 apply (zenon_L27_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.02 apply (zenon_L51_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.02 apply (zenon_L327_); trivial. % 267.81/268.02 apply (zenon_L332_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.02 apply (zenon_L196_); trivial. % 267.81/268.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L138_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L139_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L327_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L59_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L334_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L145_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_L130_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.03 apply (zenon_L336_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_L196_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L59_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L337_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L198_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_L232_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L59_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L233_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L234_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_L232_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L327_); trivial. % 267.81/268.03 apply (zenon_L251_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H15a | zenon_intro zenon_H24e ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_L296_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L297_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L197_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L198_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L338_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L340_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L341_); trivial. % 267.81/268.03 apply (zenon_L26_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L297_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L233_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L234_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L338_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L340_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L341_); trivial. % 267.81/268.03 apply (zenon_L50_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L327_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L297_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L334_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L342_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L331_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L114_); trivial. % 267.81/268.03 apply (zenon_L333_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_L130_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L298_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L64_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L117_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L338_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L340_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L25_); trivial. % 267.81/268.03 apply (zenon_L63_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L27_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L51_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L327_); trivial. % 267.81/268.03 apply (zenon_L332_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L298_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L144_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L145_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L338_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L188_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L341_); trivial. % 267.81/268.03 apply (zenon_L143_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L138_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L139_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L327_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L342_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L331_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L137_); trivial. % 267.81/268.03 apply (zenon_L333_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.03 apply (zenon_L336_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L298_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L337_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L343_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L111_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L114_); trivial. % 267.81/268.03 apply (zenon_L116_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_L232_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L343_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L24_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.03 apply (zenon_L43_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.03 apply (zenon_L344_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.03 apply (zenon_L112_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.03 apply (zenon_L44_); trivial. % 267.81/268.03 apply (zenon_L113_); trivial. % 267.81/268.03 apply (zenon_L26_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L343_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L39_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L45_); trivial. % 267.81/268.03 apply (zenon_L50_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L327_); trivial. % 267.81/268.03 apply (zenon_L251_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H161 | zenon_intro zenon_H24f ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_L296_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L297_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L197_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L198_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L21_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L132_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L345_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L341_); trivial. % 267.81/268.03 apply (zenon_L26_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L267_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L327_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L297_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L334_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L259_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_L130_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L298_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L64_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L259_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L28_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L23_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L345_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L25_); trivial. % 267.81/268.03 apply (zenon_L63_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L27_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L51_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L327_); trivial. % 267.81/268.03 apply (zenon_L332_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.03 apply (zenon_L260_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.03 apply (zenon_L336_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L298_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L337_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L259_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_L232_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L21_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L132_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L24_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H62 | zenon_intro zenon_H80 ]. % 267.81/268.03 apply (zenon_L43_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H81 ]. % 267.81/268.03 apply (zenon_L344_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H65 | zenon_intro zenon_H82 ]. % 267.81/268.03 apply (zenon_L255_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H7e ]. % 267.81/268.03 apply (zenon_L44_); trivial. % 267.81/268.03 apply (zenon_L113_); trivial. % 267.81/268.03 apply (zenon_L26_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L267_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L327_); trivial. % 267.81/268.03 apply (zenon_L251_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H167 | zenon_intro zenon_H16b ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ]. % 267.81/268.03 apply (zenon_L299_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hca ]. % 267.81/268.03 apply (zenon_L328_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hcb ]. % 267.81/268.03 apply (zenon_L275_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ]. % 267.81/268.03 apply (zenon_L271_); trivial. % 267.81/268.03 apply (zenon_L273_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_L296_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L297_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L197_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L198_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_L279_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L297_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L233_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L234_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_L279_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L327_); trivial. % 267.81/268.03 apply (zenon_L281_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L298_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L64_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L117_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_L279_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L27_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L51_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L327_); trivial. % 267.81/268.03 apply (zenon_L281_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L298_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L144_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L145_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L335_); trivial. % 267.81/268.03 apply (zenon_L279_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L138_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L139_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L327_); trivial. % 267.81/268.03 apply (zenon_L281_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.03 apply (zenon_L336_); trivial. % 267.81/268.03 apply (zenon_L283_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H24a ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.03 apply (zenon_L287_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.03 apply (zenon_L352_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_L196_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L138_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L139_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L59_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L144_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L145_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L86_); trivial. % 267.81/268.03 apply (zenon_L353_); trivial. % 267.81/268.03 apply (zenon_L354_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_L196_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L356_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L59_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L233_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L234_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L201_); trivial. % 267.81/268.03 apply (zenon_L353_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L217_); trivial. % 267.81/268.03 apply (zenon_L354_); trivial. % 267.81/268.03 apply (zenon_L357_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H15a | zenon_intro zenon_H24e ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_L296_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L356_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L297_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L233_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L234_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L359_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L39_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L45_); trivial. % 267.81/268.03 apply (zenon_L50_); trivial. % 267.81/268.03 apply (zenon_L353_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L362_); trivial. % 267.81/268.03 apply (zenon_L354_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.03 apply (zenon_L352_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L298_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L144_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L145_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L359_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L188_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L137_); trivial. % 267.81/268.03 apply (zenon_L143_); trivial. % 267.81/268.03 apply (zenon_L353_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L138_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L139_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L362_); trivial. % 267.81/268.03 apply (zenon_L354_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L298_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L363_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L364_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L111_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L114_); trivial. % 267.81/268.03 apply (zenon_L116_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L201_); trivial. % 267.81/268.03 apply (zenon_L353_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L356_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4e | zenon_intro zenon_H5c ]. % 267.81/268.03 apply (zenon_L252_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H53 | zenon_intro zenon_H5d ]. % 267.81/268.03 apply (zenon_L364_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H55 | zenon_intro zenon_H5e ]. % 267.81/268.03 apply (zenon_L39_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H56 | zenon_intro zenon_H5a ]. % 267.81/268.03 apply (zenon_L45_); trivial. % 267.81/268.03 apply (zenon_L50_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L217_); trivial. % 267.81/268.03 apply (zenon_L354_); trivial. % 267.81/268.03 apply (zenon_L357_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H161 | zenon_intro zenon_H24f ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_L296_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L356_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L267_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L297_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L363_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L259_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L86_); trivial. % 267.81/268.03 apply (zenon_L353_); trivial. % 267.81/268.03 apply (zenon_L354_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.03 apply (zenon_L352_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.03 apply (zenon_L260_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L298_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L363_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L259_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L201_); trivial. % 267.81/268.03 apply (zenon_L353_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L356_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L267_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L217_); trivial. % 267.81/268.03 apply (zenon_L354_); trivial. % 267.81/268.03 apply (zenon_L357_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H167 | zenon_intro zenon_H16b ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H7 | zenon_intro zenon_H24b ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_L296_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L297_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L197_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L198_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L274_); trivial. % 267.81/268.03 apply (zenon_L353_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L297_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L233_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L234_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L274_); trivial. % 267.81/268.03 apply (zenon_L353_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L272_); trivial. % 267.81/268.03 apply (zenon_L354_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H51 | zenon_intro zenon_H24c ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L298_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L64_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L117_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L274_); trivial. % 267.81/268.03 apply (zenon_L353_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L27_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L51_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L272_); trivial. % 267.81/268.03 apply (zenon_L354_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H114 | zenon_intro zenon_H24d ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H39 | zenon_intro zenon_H144 ]. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H8f | zenon_intro zenon_H110 ]. % 267.81/268.03 apply (zenon_L298_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Haa | zenon_intro zenon_H111 ]. % 267.81/268.03 apply (zenon_L144_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H112 ]. % 267.81/268.03 apply (zenon_L145_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd1 ]. % 267.81/268.03 apply (zenon_L274_); trivial. % 267.81/268.03 apply (zenon_L353_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H4c | zenon_intro zenon_H145 ]. % 267.81/268.03 apply (zenon_L138_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H60 | zenon_intro zenon_H146 ]. % 267.81/268.03 apply (zenon_L139_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H10c ]. % 267.81/268.03 apply (zenon_L272_); trivial. % 267.81/268.03 apply (zenon_L354_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H14a | zenon_intro zenon_H154 ]. % 267.81/268.03 apply (zenon_L276_); trivial. % 267.81/268.03 apply (zenon_L357_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hed ]. % 267.81/268.03 apply (zenon_L302_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hee ]. % 267.81/268.03 apply (zenon_L347_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He7 | zenon_intro zenon_Hef ]. % 267.81/268.03 apply (zenon_L282_); trivial. % 267.81/268.03 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He8 | zenon_intro zenon_He9 ]. % 267.81/268.03 apply (zenon_L280_); trivial. % 267.81/268.03 apply (zenon_L278_); trivial. % 267.81/268.03 Qed. % 267.81/268.03 % SZS output end Proof % 267.81/268.03 (* END-PROOF *) % 267.81/268.03 nodes searched: 4680463 % 267.81/268.03 max branch formulas: 5816 % 267.81/268.03 proof nodes created: 4063 % 267.81/268.03 formulas created: 9100742 % 267.81/268.03 %------------------------------------------------------------------------------