%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG077+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 18:29:09 EDT 2022 % Result : Theorem 277.52s 277.79s % Output : Proof 277.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : ALG077+1 : TPTP v8.1.0. Released v2.7.0. % 0.06/0.12 % 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 : Wed Jun 8 00:03:51 EDT 2022 % 0.12/0.33 % CPUTime : % 277.52/277.79 (* PROOF-FOUND *) % 277.52/277.79 % SZS status Theorem % 277.52/277.79 (* BEGIN-PROOF *) % 277.52/277.79 % SZS output start Proof % 277.52/277.79 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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 277.52/277.79 Proof. % 277.52/277.79 assert (zenon_L1_ : (~((j (h (e12))) = (j (e20)))) -> ((h (e12)) = (e20)) -> False). % 277.52/277.79 do 0 intro. intros zenon_H6 zenon_H7. % 277.52/277.79 cut (((h (e12)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 277.52/277.79 congruence. % 277.52/277.79 exact (zenon_H8 zenon_H7). % 277.52/277.79 (* end of lemma zenon_L1_ *) % 277.52/277.79 assert (zenon_L2_ : (~((e10) = (e10))) -> False). % 277.52/277.79 do 0 intro. intros zenon_H9. % 277.52/277.79 apply zenon_H9. apply refl_equal. % 277.52/277.79 (* end of lemma zenon_L2_ *) % 277.52/277.79 assert (zenon_L3_ : (~((e12) = (e12))) -> False). % 277.52/277.79 do 0 intro. intros zenon_Ha. % 277.52/277.79 apply zenon_Ha. apply refl_equal. % 277.52/277.79 (* end of lemma zenon_L3_ *) % 277.52/277.79 assert (zenon_L4_ : (~((e10) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> ((j (e20)) = (e10)) -> False). % 277.52/277.79 do 0 intro. intros zenon_Hb zenon_Hc zenon_H7 zenon_Hd. % 277.52/277.79 cut (((j (h (e12))) = (e12)) = ((e10) = (e12))). % 277.52/277.79 intro zenon_D_pnotp. % 277.52/277.79 apply zenon_Hb. % 277.52/277.79 rewrite <- zenon_D_pnotp. % 277.52/277.79 exact zenon_Hc. % 277.52/277.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.52/277.79 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 277.52/277.79 congruence. % 277.52/277.79 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.52/277.79 cut (((e10) = (e10)) = ((j (h (e12))) = (e10))). % 277.52/277.79 intro zenon_D_pnotp. % 277.52/277.79 apply zenon_He. % 277.52/277.79 rewrite <- zenon_D_pnotp. % 277.52/277.79 exact zenon_Hf. % 277.52/277.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.52/277.79 cut (((e10) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H10]. % 277.52/277.79 congruence. % 277.52/277.79 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.52/277.79 cut (((j (h (e12))) = (j (h (e12)))) = ((e10) = (j (h (e12))))). % 277.52/277.79 intro zenon_D_pnotp. % 277.52/277.79 apply zenon_H10. % 277.52/277.79 rewrite <- zenon_D_pnotp. % 277.52/277.79 exact zenon_H11. % 277.52/277.79 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.52/277.79 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 277.52/277.79 congruence. % 277.52/277.79 cut (((j (e20)) = (e10)) = ((j (h (e12))) = (e10))). % 277.52/277.79 intro zenon_D_pnotp. % 277.52/277.79 apply zenon_He. % 277.52/277.79 rewrite <- zenon_D_pnotp. % 277.52/277.79 exact zenon_Hd. % 277.52/277.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.52/277.79 cut (((j (e20)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 277.52/277.79 congruence. % 277.52/277.79 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.52/277.79 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e20)) = (j (h (e12))))). % 277.52/277.79 intro zenon_D_pnotp. % 277.52/277.79 apply zenon_H13. % 277.52/277.79 rewrite <- zenon_D_pnotp. % 277.52/277.79 exact zenon_H11. % 277.52/277.79 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.52/277.79 cut (((j (h (e12))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 277.52/277.79 congruence. % 277.52/277.79 apply (zenon_L1_); trivial. % 277.52/277.79 apply zenon_H12. apply refl_equal. % 277.52/277.79 apply zenon_H12. apply refl_equal. % 277.52/277.79 apply zenon_H9. apply refl_equal. % 277.52/277.79 apply zenon_H12. apply refl_equal. % 277.52/277.79 apply zenon_H12. apply refl_equal. % 277.52/277.79 apply zenon_H9. apply refl_equal. % 277.52/277.79 apply zenon_H9. apply refl_equal. % 277.52/277.79 apply zenon_Ha. apply refl_equal. % 277.52/277.79 (* end of lemma zenon_L4_ *) % 277.52/277.79 assert (zenon_L5_ : (~((e11) = (e11))) -> False). % 277.52/277.79 do 0 intro. intros zenon_H14. % 277.52/277.79 apply zenon_H14. apply refl_equal. % 277.52/277.79 (* end of lemma zenon_L5_ *) % 277.52/277.79 assert (zenon_L6_ : (~((e11) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> ((j (e20)) = (e11)) -> False). % 277.52/277.79 do 0 intro. intros zenon_H15 zenon_Hc zenon_H7 zenon_H16. % 277.52/277.79 cut (((j (h (e12))) = (e12)) = ((e11) = (e12))). % 277.52/277.79 intro zenon_D_pnotp. % 277.52/277.79 apply zenon_H15. % 277.52/277.79 rewrite <- zenon_D_pnotp. % 277.52/277.79 exact zenon_Hc. % 277.52/277.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.52/277.79 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 277.52/277.79 congruence. % 277.52/277.79 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.52/277.79 cut (((e11) = (e11)) = ((j (h (e12))) = (e11))). % 277.52/277.79 intro zenon_D_pnotp. % 277.52/277.79 apply zenon_H17. % 277.52/277.79 rewrite <- zenon_D_pnotp. % 277.52/277.79 exact zenon_H18. % 277.52/277.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.52/277.79 cut (((e11) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 277.52/277.79 congruence. % 277.52/277.79 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.52/277.79 cut (((j (h (e12))) = (j (h (e12)))) = ((e11) = (j (h (e12))))). % 277.52/277.79 intro zenon_D_pnotp. % 277.52/277.79 apply zenon_H19. % 277.52/277.79 rewrite <- zenon_D_pnotp. % 277.52/277.79 exact zenon_H11. % 277.52/277.79 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.52/277.79 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 277.52/277.79 congruence. % 277.52/277.79 cut (((j (e20)) = (e11)) = ((j (h (e12))) = (e11))). % 277.52/277.79 intro zenon_D_pnotp. % 277.52/277.79 apply zenon_H17. % 277.52/277.79 rewrite <- zenon_D_pnotp. % 277.52/277.79 exact zenon_H16. % 277.52/277.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.52/277.79 cut (((j (e20)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 277.52/277.79 congruence. % 277.52/277.79 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.52/277.79 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e20)) = (j (h (e12))))). % 277.52/277.79 intro zenon_D_pnotp. % 277.52/277.79 apply zenon_H13. % 277.52/277.79 rewrite <- zenon_D_pnotp. % 277.52/277.79 exact zenon_H11. % 277.52/277.79 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.52/277.79 cut (((j (h (e12))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 277.52/277.79 congruence. % 277.52/277.79 apply (zenon_L1_); trivial. % 277.52/277.79 apply zenon_H12. apply refl_equal. % 277.52/277.79 apply zenon_H12. apply refl_equal. % 277.52/277.79 apply zenon_H14. apply refl_equal. % 277.52/277.79 apply zenon_H12. apply refl_equal. % 277.52/277.79 apply zenon_H12. apply refl_equal. % 277.52/277.79 apply zenon_H14. apply refl_equal. % 277.52/277.79 apply zenon_H14. apply refl_equal. % 277.52/277.79 apply zenon_Ha. apply refl_equal. % 277.52/277.79 (* end of lemma zenon_L6_ *) % 277.52/277.79 assert (zenon_L7_ : (~((j (h (e10))) = (j (e20)))) -> ((h (e10)) = (e20)) -> False). % 277.52/277.79 do 0 intro. intros zenon_H1a zenon_H1b. % 277.52/277.79 cut (((h (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 277.52/277.79 congruence. % 277.52/277.79 exact (zenon_H1c zenon_H1b). % 277.52/277.79 (* end of lemma zenon_L7_ *) % 277.52/277.79 assert (zenon_L8_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e20)) -> ((j (e20)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.52/277.79 do 0 intro. intros zenon_H1d zenon_H1b zenon_H1e zenon_Hb. % 277.52/277.79 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.52/277.79 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.52/277.79 intro zenon_D_pnotp. % 277.52/277.79 apply zenon_Hb. % 277.52/277.79 rewrite <- zenon_D_pnotp. % 277.52/277.79 exact zenon_H1f. % 277.52/277.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.52/277.80 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.52/277.80 congruence. % 277.52/277.80 cut (((j (h (e10))) = (e10)) = ((e12) = (e10))). % 277.52/277.80 intro zenon_D_pnotp. % 277.52/277.80 apply zenon_H20. % 277.52/277.80 rewrite <- zenon_D_pnotp. % 277.52/277.80 exact zenon_H1d. % 277.52/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.52/277.80 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 277.52/277.80 congruence. % 277.52/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.52/277.80 cut (((e12) = (e12)) = ((j (h (e10))) = (e12))). % 277.52/277.80 intro zenon_D_pnotp. % 277.52/277.80 apply zenon_H21. % 277.52/277.80 rewrite <- zenon_D_pnotp. % 277.52/277.80 exact zenon_H1f. % 277.52/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.52/277.80 cut (((e12) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 277.52/277.80 congruence. % 277.52/277.80 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.52/277.80 cut (((j (h (e10))) = (j (h (e10)))) = ((e12) = (j (h (e10))))). % 277.52/277.80 intro zenon_D_pnotp. % 277.52/277.80 apply zenon_H22. % 277.52/277.80 rewrite <- zenon_D_pnotp. % 277.52/277.80 exact zenon_H23. % 277.52/277.80 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.52/277.80 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 277.52/277.80 congruence. % 277.52/277.80 cut (((j (e20)) = (e12)) = ((j (h (e10))) = (e12))). % 277.52/277.80 intro zenon_D_pnotp. % 277.52/277.80 apply zenon_H21. % 277.52/277.80 rewrite <- zenon_D_pnotp. % 277.52/277.80 exact zenon_H1e. % 277.52/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.52/277.80 cut (((j (e20)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 277.52/277.80 congruence. % 277.52/277.80 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.52/277.80 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e20)) = (j (h (e10))))). % 277.52/277.80 intro zenon_D_pnotp. % 277.52/277.80 apply zenon_H25. % 277.52/277.80 rewrite <- zenon_D_pnotp. % 277.52/277.80 exact zenon_H23. % 277.52/277.80 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.52/277.80 cut (((j (h (e10))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a]. % 277.52/277.80 congruence. % 277.52/277.80 apply (zenon_L7_); trivial. % 277.52/277.80 apply zenon_H24. apply refl_equal. % 277.52/277.80 apply zenon_H24. apply refl_equal. % 277.52/277.80 apply zenon_Ha. apply refl_equal. % 277.52/277.80 apply zenon_H24. apply refl_equal. % 277.52/277.80 apply zenon_H24. apply refl_equal. % 277.52/277.80 apply zenon_Ha. apply refl_equal. % 277.52/277.80 apply zenon_Ha. apply refl_equal. % 277.52/277.80 apply zenon_H9. apply refl_equal. % 277.52/277.80 apply zenon_Ha. apply refl_equal. % 277.52/277.80 apply zenon_Ha. apply refl_equal. % 277.52/277.80 (* end of lemma zenon_L8_ *) % 277.52/277.80 assert (zenon_L9_ : (~((e13) = (e13))) -> False). % 277.52/277.80 do 0 intro. intros zenon_H26. % 277.52/277.80 apply zenon_H26. apply refl_equal. % 277.52/277.80 (* end of lemma zenon_L9_ *) % 277.52/277.80 assert (zenon_L10_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> ((j (e20)) = (e13)) -> (~((e12) = (e13))) -> False). % 277.52/277.80 do 0 intro. intros zenon_Hc zenon_H7 zenon_H27 zenon_H28. % 277.52/277.80 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.52/277.80 cut (((e13) = (e13)) = ((e12) = (e13))). % 277.52/277.80 intro zenon_D_pnotp. % 277.52/277.80 apply zenon_H28. % 277.52/277.80 rewrite <- zenon_D_pnotp. % 277.52/277.80 exact zenon_H29. % 277.52/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.52/277.80 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 277.52/277.80 congruence. % 277.52/277.80 cut (((j (h (e12))) = (e12)) = ((e13) = (e12))). % 277.52/277.80 intro zenon_D_pnotp. % 277.52/277.80 apply zenon_H2a. % 277.52/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hc. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.80 cut (((e13) = (e13)) = ((j (h (e12))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H29. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((e13) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12)))) = ((e13) = (j (h (e12))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2c. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H11. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.80 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e20)) = (e13)) = ((j (h (e12))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H27. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((j (e20)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e20)) = (j (h (e12))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H13. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H11. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.80 cut (((j (h (e12))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L1_); trivial. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L10_ *) % 277.60/277.80 assert (zenon_L11_ : (~((e14) = (e14))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H2d. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L11_ *) % 277.60/277.80 assert (zenon_L12_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> ((j (e20)) = (e14)) -> (~((e12) = (e14))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hc zenon_H7 zenon_H2e zenon_H2f. % 277.60/277.80 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.80 cut (((e14) = (e14)) = ((e12) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2f. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H30. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((e14) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (h (e12))) = (e12)) = ((e14) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H31. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hc. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.80 cut (((e14) = (e14)) = ((j (h (e12))) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H32. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H30. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((e14) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12)))) = ((e14) = (j (h (e12))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H33. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H11. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.80 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e20)) = (e14)) = ((j (h (e12))) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H32. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H2e. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (e20)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e20)) = (j (h (e12))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H13. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H11. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.80 cut (((j (h (e12))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L1_); trivial. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L12_ *) % 277.60/277.80 assert (zenon_L13_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((h (e10)) = (e20)) -> ((j (h (e10))) = (e10)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> (~((e12) = (e14))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H34 zenon_H15 zenon_Hb zenon_H1b zenon_H1d zenon_H28 zenon_Hc zenon_H7 zenon_H2f. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.80 apply (zenon_L4_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.80 apply (zenon_L6_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.80 apply (zenon_L8_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.80 apply (zenon_L10_); trivial. % 277.60/277.80 apply (zenon_L12_); trivial. % 277.60/277.80 (* end of lemma zenon_L13_ *) % 277.60/277.80 assert (zenon_L14_ : (~((j (h (e14))) = (j (e20)))) -> ((h (e14)) = (e20)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H38 zenon_H39. % 277.60/277.80 cut (((h (e14)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_H3a zenon_H39). % 277.60/277.80 (* end of lemma zenon_L14_ *) % 277.60/277.80 assert (zenon_L15_ : (~((e10) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e20)) -> ((j (e20)) = (e10)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H3b zenon_H3c zenon_H39 zenon_Hd. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e10) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.80 cut (((e10) = (e10)) = ((j (h (e14))) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hf. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((e10) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e10) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e20)) = (e10)) = ((j (h (e14))) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hd. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((j (e20)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e20)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H41. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L14_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L15_ *) % 277.60/277.80 assert (zenon_L16_ : (~((e11) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e20)) -> ((j (e20)) = (e11)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H42 zenon_H3c zenon_H39 zenon_H16. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e11) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H42. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((j (h (e14))) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H43. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e11) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H44. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e20)) = (e11)) = ((j (h (e14))) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H43. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H16. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((j (e20)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e20)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H41. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L14_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L16_ *) % 277.60/277.80 assert (zenon_L17_ : (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e20)) -> ((j (e20)) = (e12)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H2f zenon_H3c zenon_H39 zenon_H1e. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e12) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2f. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((j (h (e14))) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H45. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e12) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H46. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e20)) = (e12)) = ((j (h (e14))) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H45. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1e. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (e20)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e20)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H41. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L14_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L17_ *) % 277.60/277.80 assert (zenon_L18_ : (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e20)) -> ((j (e20)) = (e13)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H47 zenon_H3c zenon_H39 zenon_H27. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e13) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H47. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.80 cut (((e13) = (e13)) = ((j (h (e14))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H48. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H29. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((e13) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e13) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H49. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e20)) = (e13)) = ((j (h (e14))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H48. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H27. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((j (e20)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e20)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H41. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L14_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L18_ *) % 277.60/277.80 assert (zenon_L19_ : (~((j (h (e11))) = (j (e20)))) -> ((h (e11)) = (e20)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H4a zenon_H4b. % 277.60/277.80 cut (((h (e11)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_H4c zenon_H4b). % 277.60/277.80 (* end of lemma zenon_L19_ *) % 277.60/277.80 assert (zenon_L20_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e20)) -> ((j (e20)) = (e14)) -> (~((e11) = (e14))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H4d zenon_H4b zenon_H2e zenon_H42. % 277.60/277.80 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.80 cut (((e14) = (e14)) = ((e11) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H42. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H30. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (h (e11))) = (e11)) = ((e14) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H4e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H4d. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.80 cut (((e14) = (e14)) = ((j (h (e11))) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H4f. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H30. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((e14) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.80 cut (((j (h (e11))) = (j (h (e11)))) = ((e14) = (j (h (e11))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H50. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H51. % 277.60/277.80 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.80 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e20)) = (e14)) = ((j (h (e11))) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H4f. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H2e. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (e20)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.80 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e20)) = (j (h (e11))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H53. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H51. % 277.60/277.80 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.80 cut (((j (h (e11))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L19_); trivial. % 277.60/277.80 apply zenon_H52. apply refl_equal. % 277.60/277.80 apply zenon_H52. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H52. apply refl_equal. % 277.60/277.80 apply zenon_H52. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L20_ *) % 277.60/277.80 assert (zenon_L21_ : (((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). % 277.60/277.80 do 0 intro. intros zenon_H34 zenon_H3b zenon_H2f zenon_H39 zenon_H3c zenon_H47 zenon_H4d zenon_H4b zenon_H42. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.80 apply (zenon_L15_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.80 apply (zenon_L16_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.80 apply (zenon_L17_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.80 apply (zenon_L18_); trivial. % 277.60/277.80 apply (zenon_L20_); trivial. % 277.60/277.80 (* end of lemma zenon_L21_ *) % 277.60/277.80 assert (zenon_L22_ : (~((j (h (e14))) = (j (e21)))) -> ((h (e14)) = (e21)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H54 zenon_H55. % 277.60/277.80 cut (((h (e14)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H56]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_H56 zenon_H55). % 277.60/277.80 (* end of lemma zenon_L22_ *) % 277.60/277.80 assert (zenon_L23_ : (~((e10) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e21)) -> ((j (e21)) = (e10)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H3b zenon_H3c zenon_H55 zenon_H57. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e10) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.80 cut (((e10) = (e10)) = ((j (h (e14))) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hf. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((e10) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e10) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e10)) = ((j (h (e14))) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H57. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((j (e21)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e21)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H58. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L22_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L23_ *) % 277.60/277.80 assert (zenon_L24_ : (~((e11) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e21)) -> ((j (e21)) = (e11)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H42 zenon_H3c zenon_H55 zenon_H59. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e11) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H42. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((j (h (e14))) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H43. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e11) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H44. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e11)) = ((j (h (e14))) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H43. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H59. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((j (e21)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e21)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H58. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L22_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L24_ *) % 277.60/277.80 assert (zenon_L25_ : (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e21)) -> ((j (e21)) = (e12)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H2f zenon_H3c zenon_H55 zenon_H5a. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e12) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2f. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((j (h (e14))) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H45. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e12) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H46. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e12)) = ((j (h (e14))) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H45. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H5a. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (e21)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e21)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H58. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L22_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L25_ *) % 277.60/277.80 assert (zenon_L26_ : (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e21)) -> ((j (e21)) = (e13)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H47 zenon_H3c zenon_H55 zenon_H5b. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e13) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H47. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.80 cut (((e13) = (e13)) = ((j (h (e14))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H48. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H29. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((e13) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e13) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H49. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e13)) = ((j (h (e14))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H48. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H5b. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((j (e21)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e21)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H58. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L22_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L26_ *) % 277.60/277.80 assert (zenon_L27_ : (~((j (h (e12))) = (j (e21)))) -> ((h (e12)) = (e21)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H5c zenon_H5d. % 277.60/277.80 cut (((h (e12)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_H5e zenon_H5d). % 277.60/277.80 (* end of lemma zenon_L27_ *) % 277.60/277.80 assert (zenon_L28_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> ((j (e21)) = (e14)) -> (~((e12) = (e14))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hc zenon_H5d zenon_H5f zenon_H2f. % 277.60/277.80 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.80 cut (((e14) = (e14)) = ((e12) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2f. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H30. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((e14) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (h (e12))) = (e12)) = ((e14) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H31. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hc. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.80 cut (((e14) = (e14)) = ((j (h (e12))) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H32. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H30. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((e14) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12)))) = ((e14) = (j (h (e12))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H33. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H11. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.80 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e14)) = ((j (h (e12))) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H32. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H5f. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (e21)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e21)) = (j (h (e12))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H60. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H11. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.80 cut (((j (h (e12))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L27_); trivial. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L28_ *) % 277.60/277.80 assert (zenon_L29_ : (((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 (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H61 zenon_H3b zenon_H42 zenon_H55 zenon_H3c zenon_H47 zenon_Hc zenon_H5d zenon_H2f. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.80 apply (zenon_L23_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.80 apply (zenon_L24_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.80 apply (zenon_L25_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.80 apply (zenon_L26_); trivial. % 277.60/277.80 apply (zenon_L28_); trivial. % 277.60/277.80 (* end of lemma zenon_L29_ *) % 277.60/277.80 assert (zenon_L30_ : (~((j (h (e14))) = (j (e22)))) -> ((h (e14)) = (e22)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H65 zenon_H66. % 277.60/277.80 cut (((h (e14)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H67]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_H67 zenon_H66). % 277.60/277.80 (* end of lemma zenon_L30_ *) % 277.60/277.80 assert (zenon_L31_ : (~((e10) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e22)) -> ((j (e22)) = (e10)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H3b zenon_H3c zenon_H66 zenon_H68. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e10) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.80 cut (((e10) = (e10)) = ((j (h (e14))) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hf. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((e10) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e10) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e22)) = (e10)) = ((j (h (e14))) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H68. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((j (e22)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e22)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H69. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L30_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L31_ *) % 277.60/277.80 assert (zenon_L32_ : (~((e11) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e22)) -> ((j (e22)) = (e11)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H42 zenon_H3c zenon_H66 zenon_H6a. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e11) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H42. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((j (h (e14))) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H43. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e11) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H44. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e22)) = (e11)) = ((j (h (e14))) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H43. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H6a. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((j (e22)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e22)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H69. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L30_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L32_ *) % 277.60/277.80 assert (zenon_L33_ : (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e22)) -> ((j (e22)) = (e12)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H2f zenon_H3c zenon_H66 zenon_H6b. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e12) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2f. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((j (h (e14))) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H45. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e12) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H46. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e22)) = (e12)) = ((j (h (e14))) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H45. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H6b. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (e22)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e22)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H69. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L30_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L33_ *) % 277.60/277.80 assert (zenon_L34_ : (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e22)) -> ((j (e22)) = (e13)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H47 zenon_H3c zenon_H66 zenon_H6c. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e13) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H47. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.80 cut (((e13) = (e13)) = ((j (h (e14))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H48. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H29. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((e13) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e13) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H49. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e22)) = (e13)) = ((j (h (e14))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H48. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H6c. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((j (e22)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e22)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H69. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L30_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L34_ *) % 277.60/277.80 assert (zenon_L35_ : (~((j (e22)) = (j (op2 (e21) (e21))))) -> ((op2 (e21) (e21)) = (e22)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H6d zenon_H6e. % 277.60/277.80 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H6f]. % 277.60/277.80 congruence. % 277.60/277.80 apply zenon_H6f. apply sym_equal. exact zenon_H6e. % 277.60/277.80 (* end of lemma zenon_L35_ *) % 277.60/277.80 assert (zenon_L36_ : (~((op1 (j (e21)) (j (e21))) = (op1 (e10) (e10)))) -> ((j (e21)) = (e10)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H70 zenon_H57. % 277.60/277.80 cut (((j (e21)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 277.60/277.80 cut (((j (e21)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_H71 zenon_H57). % 277.60/277.80 exact (zenon_H71 zenon_H57). % 277.60/277.80 (* end of lemma zenon_L36_ *) % 277.60/277.80 assert (zenon_L37_ : (~((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))) -> ((op1 (e10) (e10)) = (e10)) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H72 zenon_H73 zenon_H57 zenon_H74. % 277.60/277.80 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H72. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H73. % 277.60/277.80 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 277.60/277.80 cut (((op1 (e10) (e10)) = (op1 (j (e21)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (j (e21)) (j (e21))) = (op1 (j (e21)) (j (e21))))); [ zenon_intro zenon_H77 | zenon_intro zenon_H78 ]. % 277.60/277.80 cut (((op1 (j (e21)) (j (e21))) = (op1 (j (e21)) (j (e21)))) = ((op1 (e10) (e10)) = (op1 (j (e21)) (j (e21))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H76. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H77. % 277.60/277.80 cut (((op1 (j (e21)) (j (e21))) = (op1 (j (e21)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 277.60/277.80 cut (((op1 (j (e21)) (j (e21))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H70]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L36_); trivial. % 277.60/277.80 apply zenon_H78. apply refl_equal. % 277.60/277.80 apply zenon_H78. apply refl_equal. % 277.60/277.80 apply zenon_H75. apply sym_equal. exact zenon_H74. % 277.60/277.80 (* end of lemma zenon_L37_ *) % 277.60/277.80 assert (zenon_L38_ : ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e21)) = (e10)) -> (~((op1 (e14) (e14)) = (j (e22)))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H79 zenon_H6e zenon_H73 zenon_H74 zenon_H57 zenon_H7a. % 277.60/277.80 elim (classic ((j (e22)) = (j (e22)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 277.60/277.80 cut (((j (e22)) = (j (e22))) = ((op1 (e14) (e14)) = (j (e22)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H7a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H7b. % 277.60/277.80 cut (((j (e22)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 277.60/277.80 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) = ((j (e22)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H7d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H79. % 277.60/277.80 cut (((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 277.60/277.80 cut (((j (op2 (e21) (e21))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7e]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (e22)) = (j (e22)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 277.60/277.80 cut (((j (e22)) = (j (e22))) = ((j (op2 (e21) (e21))) = (j (e22)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H7e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H7b. % 277.60/277.80 cut (((j (e22)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 277.60/277.80 cut (((j (e22)) = (j (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H6d]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L35_); trivial. % 277.60/277.80 apply zenon_H7c. apply refl_equal. % 277.60/277.80 apply zenon_H7c. apply refl_equal. % 277.60/277.80 apply (zenon_L37_); trivial. % 277.60/277.80 apply zenon_H7c. apply refl_equal. % 277.60/277.80 apply zenon_H7c. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L38_ *) % 277.60/277.80 assert (zenon_L39_ : (((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 (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e10) = (e14))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H7f zenon_H42 zenon_H2f zenon_H66 zenon_H3c zenon_H47 zenon_H79 zenon_H57 zenon_H74 zenon_H73 zenon_H6e zenon_H3b. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.80 apply (zenon_L31_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.80 apply (zenon_L32_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.80 apply (zenon_L33_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.80 apply (zenon_L34_); trivial. % 277.60/277.80 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.80 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H30. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e14) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H84. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.80 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H85. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H30. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H86. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e22)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H85. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H83. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H7d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L38_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L39_ *) % 277.60/277.80 assert (zenon_L40_ : (~((j (e21)) = (j (op2 (e22) (e22))))) -> ((op2 (e22) (e22)) = (e21)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H89 zenon_H8a. % 277.60/277.80 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 277.60/277.80 congruence. % 277.60/277.80 apply zenon_H8b. apply sym_equal. exact zenon_H8a. % 277.60/277.80 (* end of lemma zenon_L40_ *) % 277.60/277.80 assert (zenon_L41_ : (~((op1 (j (e22)) (j (e22))) = (op1 (e10) (e10)))) -> ((j (e22)) = (e10)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H8c zenon_H68. % 277.60/277.80 cut (((j (e22)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 277.60/277.80 cut (((j (e22)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_H8d zenon_H68). % 277.60/277.80 exact (zenon_H8d zenon_H68). % 277.60/277.80 (* end of lemma zenon_L41_ *) % 277.60/277.80 assert (zenon_L42_ : (~((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))) -> ((op1 (e10) (e10)) = (e10)) -> ((j (e22)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H8e zenon_H73 zenon_H68 zenon_H74. % 277.60/277.80 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H8e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H73. % 277.60/277.80 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 277.60/277.80 cut (((op1 (e10) (e10)) = (op1 (j (e22)) (j (e22))))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (j (e22)) (j (e22))) = (op1 (j (e22)) (j (e22))))); [ zenon_intro zenon_H90 | zenon_intro zenon_H91 ]. % 277.60/277.80 cut (((op1 (j (e22)) (j (e22))) = (op1 (j (e22)) (j (e22)))) = ((op1 (e10) (e10)) = (op1 (j (e22)) (j (e22))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H8f. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H90. % 277.60/277.80 cut (((op1 (j (e22)) (j (e22))) = (op1 (j (e22)) (j (e22))))); [idtac | apply NNPP; zenon_intro zenon_H91]. % 277.60/277.80 cut (((op1 (j (e22)) (j (e22))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L41_); trivial. % 277.60/277.80 apply zenon_H91. apply refl_equal. % 277.60/277.80 apply zenon_H91. apply refl_equal. % 277.60/277.80 apply zenon_H75. apply sym_equal. exact zenon_H74. % 277.60/277.80 (* end of lemma zenon_L42_ *) % 277.60/277.80 assert (zenon_L43_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e22)) = (e10)) -> (~((op1 (e14) (e14)) = (j (e21)))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H92 zenon_H8a zenon_H73 zenon_H74 zenon_H68 zenon_H93. % 277.60/277.80 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 277.60/277.80 cut (((j (e21)) = (j (e21))) = ((op1 (e14) (e14)) = (j (e21)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H93. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H94. % 277.60/277.80 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H92. % 277.60/277.80 cut (((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 277.60/277.80 cut (((j (op2 (e22) (e22))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 277.60/277.80 cut (((j (e21)) = (j (e21))) = ((j (op2 (e22) (e22))) = (j (e21)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H97. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H94. % 277.60/277.80 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 277.60/277.80 cut (((j (e21)) = (j (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L40_); trivial. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply (zenon_L42_); trivial. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L43_ *) % 277.60/277.80 assert (zenon_L44_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e22) (e22)) = (e21)) -> ((j (e21)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H92 zenon_H68 zenon_H74 zenon_H73 zenon_H8a zenon_H59 zenon_H98. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H98. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H99. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H59. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L43_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L44_ *) % 277.60/277.80 assert (zenon_L45_ : (~((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))) -> ((j (e22)) = (e14)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H8e zenon_H83. % 277.60/277.80 cut (((j (e22)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 277.60/277.80 cut (((j (e22)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_H9c zenon_H83). % 277.60/277.80 exact (zenon_H9c zenon_H83). % 277.60/277.80 (* end of lemma zenon_L45_ *) % 277.60/277.80 assert (zenon_L46_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> ((j (e22)) = (e14)) -> (~((op1 (e14) (e14)) = (j (e21)))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H92 zenon_H8a zenon_H83 zenon_H93. % 277.60/277.80 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 277.60/277.80 cut (((j (e21)) = (j (e21))) = ((op1 (e14) (e14)) = (j (e21)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H93. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H94. % 277.60/277.80 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H92. % 277.60/277.80 cut (((op1 (j (e22)) (j (e22))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 277.60/277.80 cut (((j (op2 (e22) (e22))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 277.60/277.80 cut (((j (e21)) = (j (e21))) = ((j (op2 (e22) (e22))) = (j (e21)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H97. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H94. % 277.60/277.80 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 277.60/277.80 cut (((j (e21)) = (j (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L40_); trivial. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply (zenon_L45_); trivial. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L46_ *) % 277.60/277.80 assert (zenon_L47_ : ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e14)) -> ((op2 (e22) (e22)) = (e21)) -> ((j (e21)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H74 zenon_H92 zenon_H83 zenon_H8a zenon_H59 zenon_H98. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H98. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H99. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H59. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L46_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L47_ *) % 277.60/277.80 assert (zenon_L48_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> ((j (e21)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H7f zenon_H73 zenon_H42 zenon_H2f zenon_H66 zenon_H3c zenon_H47 zenon_H74 zenon_H92 zenon_H8a zenon_H59 zenon_H98. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.80 apply (zenon_L44_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.80 apply (zenon_L32_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.80 apply (zenon_L33_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.80 apply (zenon_L34_); trivial. % 277.60/277.80 apply (zenon_L47_); trivial. % 277.60/277.80 (* end of lemma zenon_L48_ *) % 277.60/277.80 assert (zenon_L49_ : ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e14)) -> ((op2 (e22) (e22)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H74 zenon_H92 zenon_H83 zenon_H8a zenon_H5a zenon_Hb. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hb. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e12) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H20. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H5a. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L46_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L49_ *) % 277.60/277.80 assert (zenon_L50_ : (((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)) -> (~((e13) = (e14))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H7f zenon_H3b zenon_H42 zenon_H2f zenon_H66 zenon_H3c zenon_H47 zenon_H74 zenon_H92 zenon_H8a zenon_H5a zenon_Hb. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.80 apply (zenon_L31_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.80 apply (zenon_L32_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.80 apply (zenon_L33_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.80 apply (zenon_L34_); trivial. % 277.60/277.80 apply (zenon_L49_); trivial. % 277.60/277.80 (* end of lemma zenon_L50_ *) % 277.60/277.80 assert (zenon_L51_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e12) = (e13))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hc zenon_H5d zenon_H5b zenon_H28. % 277.60/277.80 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.80 cut (((e13) = (e13)) = ((e12) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H28. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H29. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (h (e12))) = (e12)) = ((e13) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hc. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.80 cut (((e13) = (e13)) = ((j (h (e12))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H29. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((e13) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12)))) = ((e13) = (j (h (e12))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2c. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H11. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.80 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e13)) = ((j (h (e12))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H5b. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((j (e21)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e21)) = (j (h (e12))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H60. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H11. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.80 cut (((j (h (e12))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L27_); trivial. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L51_ *) % 277.60/277.80 assert (zenon_L52_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> (~((e10) = (e11))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e12))) -> ((op2 (e22) (e22)) = (e21)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op1 (e14) (e14)) = (e10)) -> (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e22)) -> (~((e11) = (e14))) -> (~((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). % 277.60/277.80 do 0 intro. intros zenon_H61 zenon_H6e zenon_H79 zenon_H98 zenon_H73 zenon_Hb zenon_H8a zenon_H92 zenon_H74 zenon_H47 zenon_H3c zenon_H66 zenon_H42 zenon_H3b zenon_H7f zenon_H28 zenon_Hc zenon_H5d zenon_H2f. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.80 apply (zenon_L39_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.80 apply (zenon_L48_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.80 apply (zenon_L50_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.80 apply (zenon_L51_); trivial. % 277.60/277.80 apply (zenon_L28_); trivial. % 277.60/277.80 (* end of lemma zenon_L52_ *) % 277.60/277.80 assert (zenon_L53_ : (~((e10) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> ((j (e21)) = (e10)) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hb zenon_Hc zenon_H5d zenon_H57. % 277.60/277.80 cut (((j (h (e12))) = (e12)) = ((e10) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hb. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hc. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.80 cut (((e10) = (e10)) = ((j (h (e12))) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_He. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hf. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((e10) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H10]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12)))) = ((e10) = (j (h (e12))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H10. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H11. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.80 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e10)) = ((j (h (e12))) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_He. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H57. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((j (e21)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e21)) = (j (h (e12))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H60. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H11. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.80 cut (((j (h (e12))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L27_); trivial. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L53_ *) % 277.60/277.80 assert (zenon_L54_ : (~((e11) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> ((j (e21)) = (e11)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H15 zenon_Hc zenon_H5d zenon_H59. % 277.60/277.80 cut (((j (h (e12))) = (e12)) = ((e11) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H15. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hc. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((j (h (e12))) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H17. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12)))) = ((e11) = (j (h (e12))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H19. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H11. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.80 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e11)) = ((j (h (e12))) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H17. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H59. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((j (e21)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e21)) = (j (h (e12))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H60. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H11. % 277.60/277.80 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.80 cut (((j (h (e12))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L27_); trivial. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H12. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L54_ *) % 277.60/277.80 assert (zenon_L55_ : (~((j (e21)) = (j (op2 (e23) (e23))))) -> ((op2 (e23) (e23)) = (e21)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H9f zenon_Ha0. % 277.60/277.80 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 277.60/277.80 congruence. % 277.60/277.80 apply zenon_Ha1. apply sym_equal. exact zenon_Ha0. % 277.60/277.80 (* end of lemma zenon_L55_ *) % 277.60/277.80 assert (zenon_L56_ : (~((op1 (j (e23)) (j (e23))) = (op1 (e10) (e10)))) -> ((j (e23)) = (e10)) -> False). % 277.60/277.80 do 0 intro. intros zenon_Ha2 zenon_Ha3. % 277.60/277.80 cut (((j (e23)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 277.60/277.80 cut (((j (e23)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_Ha4 zenon_Ha3). % 277.60/277.80 exact (zenon_Ha4 zenon_Ha3). % 277.60/277.80 (* end of lemma zenon_L56_ *) % 277.60/277.80 assert (zenon_L57_ : (~((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))) -> ((op1 (e10) (e10)) = (e10)) -> ((j (e23)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> False). % 277.60/277.80 do 0 intro. intros zenon_Ha5 zenon_H73 zenon_Ha3 zenon_H74. % 277.60/277.80 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Ha5. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H73. % 277.60/277.80 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 277.60/277.80 cut (((op1 (e10) (e10)) = (op1 (j (e23)) (j (e23))))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (j (e23)) (j (e23))) = (op1 (j (e23)) (j (e23))))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 277.60/277.80 cut (((op1 (j (e23)) (j (e23))) = (op1 (j (e23)) (j (e23)))) = ((op1 (e10) (e10)) = (op1 (j (e23)) (j (e23))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Ha6. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Ha7. % 277.60/277.80 cut (((op1 (j (e23)) (j (e23))) = (op1 (j (e23)) (j (e23))))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 277.60/277.80 cut (((op1 (j (e23)) (j (e23))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Ha2]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L56_); trivial. % 277.60/277.80 apply zenon_Ha8. apply refl_equal. % 277.60/277.80 apply zenon_Ha8. apply refl_equal. % 277.60/277.80 apply zenon_H75. apply sym_equal. exact zenon_H74. % 277.60/277.80 (* end of lemma zenon_L57_ *) % 277.60/277.80 assert (zenon_L58_ : ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e23)) = (e10)) -> (~((op1 (e14) (e14)) = (j (e21)))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Ha9 zenon_Ha0 zenon_H73 zenon_H74 zenon_Ha3 zenon_H93. % 277.60/277.80 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 277.60/277.80 cut (((j (e21)) = (j (e21))) = ((op1 (e14) (e14)) = (j (e21)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H93. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H94. % 277.60/277.80 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Ha9. % 277.60/277.80 cut (((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 277.60/277.80 cut (((j (op2 (e23) (e23))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 277.60/277.80 cut (((j (e21)) = (j (e21))) = ((j (op2 (e23) (e23))) = (j (e21)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Haa. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H94. % 277.60/277.80 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 277.60/277.80 cut (((j (e21)) = (j (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L55_); trivial. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply (zenon_L57_); trivial. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L58_ *) % 277.60/277.80 assert (zenon_L59_ : ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (e23)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Ha9 zenon_Ha3 zenon_H74 zenon_H73 zenon_Ha0 zenon_H5a zenon_Hb. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hb. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e12) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H20. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H5a. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L58_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L59_ *) % 277.60/277.80 assert (zenon_L60_ : (~((j (h (e14))) = (j (e23)))) -> ((h (e14)) = (e23)) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hab zenon_Hac. % 277.60/277.80 cut (((h (e14)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_Had zenon_Hac). % 277.60/277.80 (* end of lemma zenon_L60_ *) % 277.60/277.80 assert (zenon_L61_ : (~((e11) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> ((j (e23)) = (e11)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H42 zenon_H3c zenon_Hac zenon_Hae. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e11) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H42. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((j (h (e14))) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H43. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e11) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H44. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e23)) = (e11)) = ((j (h (e14))) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H43. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hae. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((j (e23)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e23)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Haf. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L60_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L61_ *) % 277.60/277.80 assert (zenon_L62_ : (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> ((j (e23)) = (e12)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H2f zenon_H3c zenon_Hac zenon_Hb0. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e12) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2f. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((j (h (e14))) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H45. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e12) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H46. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e23)) = (e12)) = ((j (h (e14))) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H45. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hb0. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (e23)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e23)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Haf. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L60_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L62_ *) % 277.60/277.80 assert (zenon_L63_ : (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> ((j (e23)) = (e13)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H47 zenon_H3c zenon_Hac zenon_Hb1. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e13) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H47. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.80 cut (((e13) = (e13)) = ((j (h (e14))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H48. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H29. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((e13) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e13) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H49. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e23)) = (e13)) = ((j (h (e14))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H48. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hb1. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((j (e23)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e23)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Haf. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L60_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L63_ *) % 277.60/277.80 assert (zenon_L64_ : (~((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))) -> ((j (e23)) = (e14)) -> False). % 277.60/277.80 do 0 intro. intros zenon_Ha5 zenon_Hb2. % 277.60/277.80 cut (((j (e23)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hb3]. % 277.60/277.80 cut (((j (e23)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hb3]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_Hb3 zenon_Hb2). % 277.60/277.80 exact (zenon_Hb3 zenon_Hb2). % 277.60/277.80 (* end of lemma zenon_L64_ *) % 277.60/277.80 assert (zenon_L65_ : ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e23)) = (e14)) -> (~((op1 (e14) (e14)) = (j (e21)))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Ha9 zenon_Ha0 zenon_Hb2 zenon_H93. % 277.60/277.80 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 277.60/277.80 cut (((j (e21)) = (j (e21))) = ((op1 (e14) (e14)) = (j (e21)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H93. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H94. % 277.60/277.80 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Ha9. % 277.60/277.80 cut (((op1 (j (e23)) (j (e23))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 277.60/277.80 cut (((j (op2 (e23) (e23))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 277.60/277.80 cut (((j (e21)) = (j (e21))) = ((j (op2 (e23) (e23))) = (j (e21)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Haa. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H94. % 277.60/277.80 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 277.60/277.80 cut (((j (e21)) = (j (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L55_); trivial. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply (zenon_L64_); trivial. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L65_ *) % 277.60/277.80 assert (zenon_L66_ : ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (e23)) = (e14)) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H74 zenon_Ha9 zenon_Hb2 zenon_Ha0 zenon_H5a zenon_Hb. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hb. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e12) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H20. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H5a. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L65_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L66_ *) % 277.60/277.80 assert (zenon_L67_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hb4 zenon_H73 zenon_H42 zenon_H2f zenon_Hac zenon_H3c zenon_H47 zenon_H74 zenon_Ha9 zenon_Ha0 zenon_H5a zenon_Hb. % 277.60/277.80 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.80 apply (zenon_L59_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.80 apply (zenon_L61_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.80 apply (zenon_L62_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.80 apply (zenon_L63_); trivial. % 277.60/277.80 apply (zenon_L66_); trivial. % 277.60/277.80 (* end of lemma zenon_L67_ *) % 277.60/277.80 assert (zenon_L68_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op1 (e14) (e14)) = (e10)) -> (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> (~((e11) = (e14))) -> ((op1 (e10) (e10)) = (e10)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H61 zenon_H15 zenon_Hb zenon_Ha0 zenon_Ha9 zenon_H74 zenon_H47 zenon_H3c zenon_Hac zenon_H42 zenon_H73 zenon_Hb4 zenon_H28 zenon_Hc zenon_H5d zenon_H2f. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.80 apply (zenon_L53_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.80 apply (zenon_L54_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.80 apply (zenon_L67_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.80 apply (zenon_L51_); trivial. % 277.60/277.80 apply (zenon_L28_); trivial. % 277.60/277.80 (* end of lemma zenon_L68_ *) % 277.60/277.80 assert (zenon_L69_ : (~((j (e21)) = (j (op2 (e24) (e24))))) -> ((op2 (e24) (e24)) = (e21)) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hb8 zenon_Hb9. % 277.60/277.80 cut (((e21) = (op2 (e24) (e24)))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 277.60/277.80 congruence. % 277.60/277.80 apply zenon_Hba. apply sym_equal. exact zenon_Hb9. % 277.60/277.80 (* end of lemma zenon_L69_ *) % 277.60/277.80 assert (zenon_L70_ : (~((op1 (j (e24)) (j (e24))) = (op1 (e10) (e10)))) -> ((j (e24)) = (e10)) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hbb zenon_Hbc. % 277.60/277.80 cut (((j (e24)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hbd]. % 277.60/277.80 cut (((j (e24)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hbd]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_Hbd zenon_Hbc). % 277.60/277.80 exact (zenon_Hbd zenon_Hbc). % 277.60/277.80 (* end of lemma zenon_L70_ *) % 277.60/277.80 assert (zenon_L71_ : (~((op1 (j (e24)) (j (e24))) = (op1 (e14) (e14)))) -> ((op1 (e10) (e10)) = (e10)) -> ((j (e24)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hbe zenon_H73 zenon_Hbc zenon_H74. % 277.60/277.80 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (j (e24)) (j (e24))) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hbe. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H73. % 277.60/277.80 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 277.60/277.80 cut (((op1 (e10) (e10)) = (op1 (j (e24)) (j (e24))))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (j (e24)) (j (e24))) = (op1 (j (e24)) (j (e24))))); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc1 ]. % 277.60/277.80 cut (((op1 (j (e24)) (j (e24))) = (op1 (j (e24)) (j (e24)))) = ((op1 (e10) (e10)) = (op1 (j (e24)) (j (e24))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hbf. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hc0. % 277.60/277.80 cut (((op1 (j (e24)) (j (e24))) = (op1 (j (e24)) (j (e24))))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 277.60/277.80 cut (((op1 (j (e24)) (j (e24))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hbb]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L70_); trivial. % 277.60/277.80 apply zenon_Hc1. apply refl_equal. % 277.60/277.80 apply zenon_Hc1. apply refl_equal. % 277.60/277.80 apply zenon_H75. apply sym_equal. exact zenon_H74. % 277.60/277.80 (* end of lemma zenon_L71_ *) % 277.60/277.80 assert (zenon_L72_ : ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((op2 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e24)) = (e10)) -> (~((op1 (e14) (e14)) = (j (e21)))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hc2 zenon_Hb9 zenon_H73 zenon_H74 zenon_Hbc zenon_H93. % 277.60/277.80 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 277.60/277.80 cut (((j (e21)) = (j (e21))) = ((op1 (e14) (e14)) = (j (e21)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H93. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H94. % 277.60/277.80 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hc2. % 277.60/277.80 cut (((op1 (j (e24)) (j (e24))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 277.60/277.80 cut (((j (op2 (e24) (e24))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 277.60/277.80 cut (((j (e21)) = (j (e21))) = ((j (op2 (e24) (e24))) = (j (e21)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hc3. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H94. % 277.60/277.80 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 277.60/277.80 cut (((j (e21)) = (j (op2 (e24) (e24))))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L69_); trivial. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply (zenon_L71_); trivial. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L72_ *) % 277.60/277.80 assert (zenon_L73_ : ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((j (e24)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e24) (e24)) = (e21)) -> ((j (e21)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hc2 zenon_Hbc zenon_H74 zenon_H73 zenon_Hb9 zenon_H59 zenon_H98. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H98. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H99. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H59. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L72_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L73_ *) % 277.60/277.80 assert (zenon_L74_ : (~((j (h (e14))) = (j (e24)))) -> ((h (e14)) = (e24)) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hc4 zenon_Hc5. % 277.60/277.80 cut (((h (e14)) = (e24))); [idtac | apply NNPP; zenon_intro zenon_Hc6]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_Hc6 zenon_Hc5). % 277.60/277.80 (* end of lemma zenon_L74_ *) % 277.60/277.80 assert (zenon_L75_ : (~((e11) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> ((j (e24)) = (e11)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H42 zenon_H3c zenon_Hc5 zenon_Hc7. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e11) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H42. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((j (h (e14))) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H43. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e11) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H44. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e24)) = (e11)) = ((j (h (e14))) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H43. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hc7. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((j (e24)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e24)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hc8. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L74_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L75_ *) % 277.60/277.80 assert (zenon_L76_ : (~((e12) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> ((j (e24)) = (e12)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H2f zenon_H3c zenon_Hc5 zenon_Hc9. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e12) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H2f. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((j (h (e14))) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H45. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e12) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H46. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e24)) = (e12)) = ((j (h (e14))) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H45. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hc9. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (e24)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e24)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hc8. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L74_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L76_ *) % 277.60/277.80 assert (zenon_L77_ : (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> ((j (e24)) = (e13)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H47 zenon_H3c zenon_Hc5 zenon_Hca. % 277.60/277.80 cut (((j (h (e14))) = (e14)) = ((e13) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H47. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3c. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.80 cut (((e13) = (e13)) = ((j (h (e14))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H48. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H29. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((e13) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((e13) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H49. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e24)) = (e13)) = ((j (h (e14))) = (e13))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H48. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hca. % 277.60/277.80 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.80 cut (((j (e24)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e24)) = (j (h (e14))))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hc8. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H3f. % 277.60/277.80 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.80 cut (((j (h (e14))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L74_); trivial. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H40. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H26. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L77_ *) % 277.60/277.80 assert (zenon_L78_ : (~((op1 (j (e24)) (j (e24))) = (op1 (e14) (e14)))) -> ((j (e24)) = (e14)) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hbe zenon_Hcb. % 277.60/277.80 cut (((j (e24)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hcc]. % 277.60/277.80 cut (((j (e24)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hcc]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_Hcc zenon_Hcb). % 277.60/277.80 exact (zenon_Hcc zenon_Hcb). % 277.60/277.80 (* end of lemma zenon_L78_ *) % 277.60/277.80 assert (zenon_L79_ : ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((op2 (e24) (e24)) = (e21)) -> ((j (e24)) = (e14)) -> (~((op1 (e14) (e14)) = (j (e21)))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hc2 zenon_Hb9 zenon_Hcb zenon_H93. % 277.60/277.80 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 277.60/277.80 cut (((j (e21)) = (j (e21))) = ((op1 (e14) (e14)) = (j (e21)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H93. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H94. % 277.60/277.80 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_Hc2. % 277.60/277.80 cut (((op1 (j (e24)) (j (e24))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 277.60/277.80 cut (((j (op2 (e24) (e24))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (e21)) = (j (e21)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 277.60/277.80 cut (((j (e21)) = (j (e21))) = ((j (op2 (e24) (e24))) = (j (e21)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hc3. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H94. % 277.60/277.80 cut (((j (e21)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 277.60/277.80 cut (((j (e21)) = (j (op2 (e24) (e24))))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L69_); trivial. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply (zenon_L78_); trivial. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 apply zenon_H95. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L79_ *) % 277.60/277.80 assert (zenon_L80_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((op2 (e24) (e24)) = (e21)) -> ((j (e21)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hcd zenon_H73 zenon_H42 zenon_H2f zenon_Hc5 zenon_H3c zenon_H47 zenon_H74 zenon_Hc2 zenon_Hb9 zenon_H59 zenon_H98. % 277.60/277.80 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.80 apply (zenon_L73_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.80 apply (zenon_L75_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.80 apply (zenon_L76_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.80 apply (zenon_L77_); trivial. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H98. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H99. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H59. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L79_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L80_ *) % 277.60/277.80 assert (zenon_L81_ : ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((j (e24)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e24) (e24)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hc2 zenon_Hbc zenon_H74 zenon_H73 zenon_Hb9 zenon_H5a zenon_Hb. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hb. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e12) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H20. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H5a. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L72_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L81_ *) % 277.60/277.80 assert (zenon_L82_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((op2 (e24) (e24)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.80 do 0 intro. intros zenon_Hcd zenon_H73 zenon_H42 zenon_H2f zenon_Hc5 zenon_H3c zenon_H47 zenon_H74 zenon_Hc2 zenon_Hb9 zenon_H5a zenon_Hb. % 277.60/277.80 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.80 apply (zenon_L81_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.80 apply (zenon_L75_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.80 apply (zenon_L76_); trivial. % 277.60/277.80 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.80 apply (zenon_L77_); trivial. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hb. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e12) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H20. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H5a. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L79_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L82_ *) % 277.60/277.80 assert (zenon_L83_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e22) (e22)) = (e21)) -> ((j (e21)) = (e14)) -> (~((e10) = (e14))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H92 zenon_H68 zenon_H74 zenon_H73 zenon_H8a zenon_H5f zenon_H3b. % 277.60/277.80 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.80 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H3b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H30. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e14) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H84. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.80 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H85. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H30. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H86. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e21)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H85. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H5f. % 277.60/277.80 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.80 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H96. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L43_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 apply zenon_H2d. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L83_ *) % 277.60/277.80 assert (zenon_L84_ : (~((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))) -> ((j (e21)) = (e14)) -> False). % 277.60/277.80 do 0 intro. intros zenon_H72 zenon_H5f. % 277.60/277.80 cut (((j (e21)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 277.60/277.80 cut (((j (e21)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 277.60/277.80 congruence. % 277.60/277.80 exact (zenon_Hd1 zenon_H5f). % 277.60/277.80 exact (zenon_Hd1 zenon_H5f). % 277.60/277.80 (* end of lemma zenon_L84_ *) % 277.60/277.80 assert (zenon_L85_ : ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e21)) = (e14)) -> (~((op1 (e14) (e14)) = (j (e22)))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H79 zenon_H6e zenon_H5f zenon_H7a. % 277.60/277.80 elim (classic ((j (e22)) = (j (e22)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 277.60/277.80 cut (((j (e22)) = (j (e22))) = ((op1 (e14) (e14)) = (j (e22)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H7a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H7b. % 277.60/277.80 cut (((j (e22)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 277.60/277.80 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) = ((j (e22)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H7d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H79. % 277.60/277.80 cut (((op1 (j (e21)) (j (e21))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 277.60/277.80 cut (((j (op2 (e21) (e21))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7e]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((j (e22)) = (j (e22)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 277.60/277.80 cut (((j (e22)) = (j (e22))) = ((j (op2 (e21) (e21))) = (j (e22)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H7e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H7b. % 277.60/277.80 cut (((j (e22)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 277.60/277.80 cut (((j (e22)) = (j (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H6d]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L35_); trivial. % 277.60/277.80 apply zenon_H7c. apply refl_equal. % 277.60/277.80 apply zenon_H7c. apply refl_equal. % 277.60/277.80 apply (zenon_L84_); trivial. % 277.60/277.80 apply zenon_H7c. apply refl_equal. % 277.60/277.80 apply zenon_H7c. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L85_ *) % 277.60/277.80 assert (zenon_L86_ : ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H74 zenon_H79 zenon_H5f zenon_H6e zenon_H6a zenon_H98. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H98. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H99. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.80 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H18. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9b. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e22)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9a. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H6a. % 277.60/277.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.80 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H7d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L85_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 apply zenon_H14. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L86_ *) % 277.60/277.80 assert (zenon_L87_ : ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.80 do 0 intro. intros zenon_H74 zenon_H79 zenon_H5f zenon_H6e zenon_H6b zenon_Hb. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_Hb. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e10)) = ((e12) = (e10))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H20. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H74. % 277.60/277.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.80 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H1f. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9e. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.80 congruence. % 277.60/277.80 cut (((j (e22)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H9d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H6b. % 277.60/277.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.80 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 277.60/277.80 congruence. % 277.60/277.80 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 277.60/277.80 intro zenon_D_pnotp. % 277.60/277.80 apply zenon_H7d. % 277.60/277.80 rewrite <- zenon_D_pnotp. % 277.60/277.80 exact zenon_H87. % 277.60/277.80 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.80 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 277.60/277.80 congruence. % 277.60/277.80 apply (zenon_L85_); trivial. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_H88. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_H9. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 apply zenon_Ha. apply refl_equal. % 277.60/277.80 (* end of lemma zenon_L87_ *) % 277.60/277.80 assert (zenon_L88_ : ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H74 zenon_H79 zenon_H5f zenon_H6e zenon_H6c zenon_Hd2. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd2. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e13) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd5. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e22)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H6c. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H7d. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L85_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L88_ *) % 277.60/277.81 assert (zenon_L89_ : ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e14)) -> (~((e10) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H74 zenon_H79 zenon_H5f zenon_H6e zenon_H83 zenon_H3b. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H3b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e14) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H84. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H85. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H86. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e22)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H85. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H83. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H7d. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L85_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L89_ *) % 277.60/277.81 assert (zenon_L90_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e14)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e10) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H7f zenon_H8a zenon_H73 zenon_H92 zenon_H98 zenon_Hb zenon_Hd2 zenon_H74 zenon_H79 zenon_H5f zenon_H6e zenon_H3b. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.81 apply (zenon_L83_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.81 apply (zenon_L86_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.81 apply (zenon_L87_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.81 apply (zenon_L88_); trivial. % 277.60/277.81 apply (zenon_L89_); trivial. % 277.60/277.81 (* end of lemma zenon_L90_ *) % 277.60/277.81 assert (zenon_L91_ : (~((j (h (e12))) = (j (e22)))) -> ((h (e12)) = (e22)) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hd6 zenon_Hd7. % 277.60/277.81 cut (((h (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hd8]. % 277.60/277.81 congruence. % 277.60/277.81 exact (zenon_Hd8 zenon_Hd7). % 277.60/277.81 (* end of lemma zenon_L91_ *) % 277.60/277.81 assert (zenon_L92_ : (~((e11) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> ((j (e22)) = (e11)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H15 zenon_Hc zenon_Hd7 zenon_H6a. % 277.60/277.81 cut (((j (h (e12))) = (e12)) = ((e11) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H15. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hc. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((j (h (e12))) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H17. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((e11) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H19. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e22)) = (e11)) = ((j (h (e12))) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H17. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H6a. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((j (e22)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e22)) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd9. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L91_); trivial. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L92_ *) % 277.60/277.81 assert (zenon_L93_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> ((j (e22)) = (e14)) -> (~((e12) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hc zenon_Hd7 zenon_H83 zenon_H2f. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((e12) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H2f. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (h (e12))) = (e12)) = ((e14) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H31. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hc. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((j (h (e12))) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H32. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((e14) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H33. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e22)) = (e14)) = ((j (h (e12))) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H32. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H83. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((j (e22)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e22)) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd9. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L91_); trivial. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L93_ *) % 277.60/277.81 assert (zenon_L94_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e21)) = (e14)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H7f zenon_H3b zenon_H8a zenon_H73 zenon_H92 zenon_H15 zenon_Hb zenon_Hd2 zenon_H6e zenon_H5f zenon_H79 zenon_H74 zenon_Hc zenon_Hd7 zenon_H2f. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.81 apply (zenon_L83_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.81 apply (zenon_L92_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.81 apply (zenon_L87_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.81 apply (zenon_L88_); trivial. % 277.60/277.81 apply (zenon_L93_); trivial. % 277.60/277.81 (* end of lemma zenon_L94_ *) % 277.60/277.81 assert (zenon_L95_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (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) = (e14))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H61 zenon_H42 zenon_H55 zenon_H3c zenon_H47 zenon_H7f zenon_H3b zenon_H8a zenon_H73 zenon_H92 zenon_H15 zenon_Hb zenon_Hd2 zenon_H6e zenon_H79 zenon_H74 zenon_Hc zenon_Hd7 zenon_H2f. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.81 apply (zenon_L23_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.81 apply (zenon_L24_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.81 apply (zenon_L25_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.81 apply (zenon_L26_); trivial. % 277.60/277.81 apply (zenon_L94_); trivial. % 277.60/277.81 (* end of lemma zenon_L95_ *) % 277.60/277.81 assert (zenon_L96_ : (((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). % 277.60/277.81 do 0 intro. intros zenon_H7f zenon_H3b zenon_H42 zenon_H66 zenon_H3c zenon_H47 zenon_Hc zenon_Hd7 zenon_H2f. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.81 apply (zenon_L31_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.81 apply (zenon_L32_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.81 apply (zenon_L33_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.81 apply (zenon_L34_); trivial. % 277.60/277.81 apply (zenon_L93_); trivial. % 277.60/277.81 (* end of lemma zenon_L96_ *) % 277.60/277.81 assert (zenon_L97_ : (~((e10) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> ((j (e22)) = (e10)) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hb zenon_Hc zenon_Hd7 zenon_H68. % 277.60/277.81 cut (((j (h (e12))) = (e12)) = ((e10) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hb. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hc. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.81 cut (((e10) = (e10)) = ((j (h (e12))) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_He. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((e10) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H10]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((e10) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H10. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e22)) = (e10)) = ((j (h (e12))) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_He. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H68. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((j (e22)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e22)) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd9. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L91_); trivial. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L97_ *) % 277.60/277.81 assert (zenon_L98_ : ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (e21)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e22)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H79 zenon_H57 zenon_H74 zenon_H73 zenon_H6e zenon_H6c zenon_Hd2. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd2. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e13) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd5. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e22)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H6c. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H7d. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L38_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L98_ *) % 277.60/277.81 assert (zenon_L99_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e21)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H7f zenon_H15 zenon_Hb zenon_Hd2 zenon_H6e zenon_H73 zenon_H74 zenon_H57 zenon_H79 zenon_Hc zenon_Hd7 zenon_H2f. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.81 apply (zenon_L97_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.81 apply (zenon_L92_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.81 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.81 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hb. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H1f. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e12) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H20. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.81 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9d. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H1f. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9e. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e22)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9d. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H6b. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H7d. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L38_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.81 apply (zenon_L98_); trivial. % 277.60/277.81 apply (zenon_L93_); trivial. % 277.60/277.81 (* end of lemma zenon_L99_ *) % 277.60/277.81 assert (zenon_L100_ : ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (e23)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Ha9 zenon_Ha3 zenon_H74 zenon_H73 zenon_Ha0 zenon_H59 zenon_H98. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H98. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H99. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e21)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H59. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H96. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L58_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L100_ *) % 277.60/277.81 assert (zenon_L101_ : ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (e23)) = (e14)) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H74 zenon_Ha9 zenon_Hb2 zenon_Ha0 zenon_H59 zenon_H98. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H98. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H99. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e21)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H59. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H96. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L65_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L101_ *) % 277.60/277.81 assert (zenon_L102_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hb4 zenon_H73 zenon_H42 zenon_H2f zenon_Hac zenon_H3c zenon_H47 zenon_H74 zenon_Ha9 zenon_Ha0 zenon_H59 zenon_H98. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.81 apply (zenon_L100_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.81 apply (zenon_L61_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.81 apply (zenon_L62_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.81 apply (zenon_L63_); trivial. % 277.60/277.81 apply (zenon_L101_); trivial. % 277.60/277.81 (* end of lemma zenon_L102_ *) % 277.60/277.81 assert (zenon_L103_ : (~((e10) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> ((j (e23)) = (e10)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H3b zenon_H3c zenon_Hac zenon_Ha3. % 277.60/277.81 cut (((j (h (e14))) = (e14)) = ((e10) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H3b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H3c. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.81 cut (((e10) = (e10)) = ((j (h (e14))) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H3d. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((e10) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.81 cut (((j (h (e14))) = (j (h (e14)))) = ((e10) = (j (h (e14))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H3e. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H3f. % 277.60/277.81 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.81 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e23)) = (e10)) = ((j (h (e14))) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H3d. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Ha3. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((j (e23)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.81 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e23)) = (j (h (e14))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Haf. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H3f. % 277.60/277.81 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.81 cut (((j (h (e14))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L60_); trivial. % 277.60/277.81 apply zenon_H40. apply refl_equal. % 277.60/277.81 apply zenon_H40. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H40. apply refl_equal. % 277.60/277.81 apply zenon_H40. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L103_ *) % 277.60/277.81 assert (zenon_L104_ : (~((op1 (j (e21)) (j (e22))) = (op1 (e13) (e12)))) -> ((j (e22)) = (e12)) -> ((j (e21)) = (e13)) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hda zenon_H6b zenon_H5b. % 277.60/277.81 cut (((j (e22)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hdb]. % 277.60/277.81 cut (((j (e21)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 277.60/277.81 congruence. % 277.60/277.81 exact (zenon_Hdc zenon_H5b). % 277.60/277.81 exact (zenon_Hdb zenon_H6b). % 277.60/277.81 (* end of lemma zenon_L104_ *) % 277.60/277.81 assert (zenon_L105_ : (~((op1 (j (e21)) (j (e22))) = (op1 (e14) (e14)))) -> ((op1 (e13) (e12)) = (e10)) -> ((j (e21)) = (e13)) -> ((j (e22)) = (e12)) -> ((op1 (e14) (e14)) = (e10)) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hdd zenon_Hde zenon_H5b zenon_H6b zenon_H74. % 277.60/277.81 cut (((op1 (e13) (e12)) = (e10)) = ((op1 (j (e21)) (j (e22))) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hdd. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hde. % 277.60/277.81 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 277.60/277.81 cut (((op1 (e13) (e12)) = (op1 (j (e21)) (j (e22))))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (j (e21)) (j (e22))) = (op1 (j (e21)) (j (e22))))); [ zenon_intro zenon_He0 | zenon_intro zenon_He1 ]. % 277.60/277.81 cut (((op1 (j (e21)) (j (e22))) = (op1 (j (e21)) (j (e22)))) = ((op1 (e13) (e12)) = (op1 (j (e21)) (j (e22))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hdf. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_He0. % 277.60/277.81 cut (((op1 (j (e21)) (j (e22))) = (op1 (j (e21)) (j (e22))))); [idtac | apply NNPP; zenon_intro zenon_He1]. % 277.60/277.81 cut (((op1 (j (e21)) (j (e22))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hda]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L104_); trivial. % 277.60/277.81 apply zenon_He1. apply refl_equal. % 277.60/277.81 apply zenon_He1. apply refl_equal. % 277.60/277.81 apply zenon_H75. apply sym_equal. exact zenon_H74. % 277.60/277.81 (* end of lemma zenon_L105_ *) % 277.60/277.81 assert (zenon_L106_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e21)) = (e13)) -> ((j (e22)) = (e12)) -> (~((op1 (e14) (e14)) = (j (e23)))) -> False). % 277.60/277.81 do 0 intro. intros zenon_He2 zenon_He3 zenon_Hde zenon_H74 zenon_H5b zenon_H6b zenon_He4. % 277.60/277.81 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_He5 | zenon_intro zenon_He6 ]. % 277.60/277.81 cut (((j (e23)) = (j (e23))) = ((op1 (e14) (e14)) = (j (e23)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_He4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_He5. % 277.60/277.81 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 277.60/277.81 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) = ((j (e23)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_He7. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_He2. % 277.60/277.81 cut (((op1 (j (e21)) (j (e22))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hdd]. % 277.60/277.81 cut (((j (op2 (e21) (e22))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_He8]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_He5 | zenon_intro zenon_He6 ]. % 277.60/277.81 cut (((j (e23)) = (j (e23))) = ((j (op2 (e21) (e22))) = (j (e23)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_He8. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_He5. % 277.60/277.81 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 277.60/277.81 cut (((j (e23)) = (j (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 277.60/277.81 congruence. % 277.60/277.81 apply zenon_Hea. apply sym_equal. exact zenon_He3. % 277.60/277.81 apply zenon_He6. apply refl_equal. % 277.60/277.81 apply zenon_He6. apply refl_equal. % 277.60/277.81 apply (zenon_L105_); trivial. % 277.60/277.81 apply zenon_He6. apply refl_equal. % 277.60/277.81 apply zenon_He6. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L106_ *) % 277.60/277.81 assert (zenon_L107_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e12)) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e23)) -> ((j (e23)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.81 do 0 intro. intros zenon_He2 zenon_H6b zenon_H5b zenon_H74 zenon_Hde zenon_He3 zenon_Hae zenon_H98. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H98. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H99. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e23)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hae. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_He7. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L106_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L107_ *) % 277.60/277.81 assert (zenon_L108_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e12)) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e10) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_He2 zenon_H6b zenon_H5b zenon_H74 zenon_Hde zenon_He3 zenon_Hb2 zenon_H3b. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H3b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e14) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H84. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H85. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H86. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e23)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H85. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hb2. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_He7. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L106_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L108_ *) % 277.60/277.81 assert (zenon_L109_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e12) = (e14))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e12)) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e23)) -> (~((e10) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hb4 zenon_H98 zenon_H2f zenon_Hac zenon_H3c zenon_H47 zenon_He2 zenon_H6b zenon_H5b zenon_H74 zenon_Hde zenon_He3 zenon_H3b. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.81 apply (zenon_L103_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.81 apply (zenon_L107_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.81 apply (zenon_L62_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.81 apply (zenon_L63_); trivial. % 277.60/277.81 apply (zenon_L108_); trivial. % 277.60/277.81 (* end of lemma zenon_L109_ *) % 277.60/277.81 assert (zenon_L110_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> ((j (e22)) = (e13)) -> (~((e12) = (e13))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hc zenon_Hd7 zenon_H6c zenon_H28. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((e12) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H28. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (h (e12))) = (e12)) = ((e13) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H2a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hc. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((j (h (e12))) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H2b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((e13) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H2c. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e22)) = (e13)) = ((j (h (e12))) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H2b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H6c. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (e22)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e22)) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd9. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L91_); trivial. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L110_ *) % 277.60/277.81 assert (zenon_L111_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((e10) = (e14))) -> ((op2 (e21) (e22)) = (e23)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e21)) = (e13)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> (~((e10) = (e11))) -> (((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). % 277.60/277.81 do 0 intro. intros zenon_H7f zenon_Hb zenon_H15 zenon_H3b zenon_He3 zenon_Hde zenon_H74 zenon_H5b zenon_He2 zenon_H47 zenon_H3c zenon_Hac zenon_H98 zenon_Hb4 zenon_H28 zenon_Hc zenon_Hd7 zenon_H2f. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.81 apply (zenon_L97_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.81 apply (zenon_L92_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.81 apply (zenon_L109_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.81 apply (zenon_L110_); trivial. % 277.60/277.81 apply (zenon_L93_); trivial. % 277.60/277.81 (* end of lemma zenon_L111_ *) % 277.60/277.81 assert (zenon_L112_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e11) = (e14))) -> (~((e12) = (e13))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e11))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e23)) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H61 zenon_Ha0 zenon_Ha9 zenon_H42 zenon_H28 zenon_Hb4 zenon_H98 zenon_Hac zenon_H3c zenon_H47 zenon_He2 zenon_Hde zenon_He3 zenon_H7f zenon_H3b zenon_H8a zenon_H73 zenon_H92 zenon_H15 zenon_Hb zenon_Hd2 zenon_H6e zenon_H79 zenon_H74 zenon_Hc zenon_Hd7 zenon_H2f. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.81 apply (zenon_L99_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.81 apply (zenon_L102_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.81 apply (zenon_L67_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.81 apply (zenon_L111_); trivial. % 277.60/277.81 apply (zenon_L94_); trivial. % 277.60/277.81 (* end of lemma zenon_L112_ *) % 277.60/277.81 assert (zenon_L113_ : ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (e23)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Ha9 zenon_Ha3 zenon_H74 zenon_H73 zenon_Ha0 zenon_H5b zenon_Hd2. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd2. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e13) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd5. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e21)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H5b. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H96. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L58_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L113_ *) % 277.60/277.81 assert (zenon_L114_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e12)) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e23)) -> ((j (e23)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.81 do 0 intro. intros zenon_He2 zenon_H6b zenon_H5b zenon_H74 zenon_Hde zenon_He3 zenon_Hb0 zenon_Hb. % 277.60/277.81 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.81 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hb. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H1f. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e12) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H20. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.81 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9d. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H1f. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9e. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e23)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9d. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hb0. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_He7. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L106_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L114_ *) % 277.60/277.81 assert (zenon_L115_ : ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e12)) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e23)) -> ((j (e23)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.81 do 0 intro. intros zenon_He2 zenon_H6b zenon_H5b zenon_H74 zenon_Hde zenon_He3 zenon_Hb1 zenon_Hd2. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd2. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e13) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd5. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e23)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hb1. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_He7. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L106_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L115_ *) % 277.60/277.81 assert (zenon_L116_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((op2 (e24) (e24)) = (e21)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> (~((e11) = (e14))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e12) = (e13))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e10) = (e11))) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e23)) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H61 zenon_Hb9 zenon_Hc2 zenon_H47 zenon_H3c zenon_Hc5 zenon_H42 zenon_Hcd zenon_H28 zenon_Hb4 zenon_Ha0 zenon_Ha9 zenon_H98 zenon_He2 zenon_Hde zenon_He3 zenon_H7f zenon_H3b zenon_H8a zenon_H73 zenon_H92 zenon_H15 zenon_Hb zenon_Hd2 zenon_H6e zenon_H79 zenon_H74 zenon_Hc zenon_Hd7 zenon_H2f. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.81 apply (zenon_L99_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.81 apply (zenon_L80_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.81 apply (zenon_L82_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.81 apply (zenon_L97_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.81 apply (zenon_L92_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.81 apply (zenon_L113_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.81 apply (zenon_L107_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.81 apply (zenon_L114_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.81 apply (zenon_L115_); trivial. % 277.60/277.81 apply (zenon_L108_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.81 apply (zenon_L110_); trivial. % 277.60/277.81 apply (zenon_L93_); trivial. % 277.60/277.81 apply (zenon_L94_); trivial. % 277.60/277.81 (* end of lemma zenon_L116_ *) % 277.60/277.81 assert (zenon_L117_ : (~((j (h (e13))) = (j (e20)))) -> ((h (e13)) = (e20)) -> False). % 277.60/277.81 do 0 intro. intros zenon_Heb zenon_Hec. % 277.60/277.81 cut (((h (e13)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 277.60/277.81 congruence. % 277.60/277.81 exact (zenon_Hed zenon_Hec). % 277.60/277.81 (* end of lemma zenon_L117_ *) % 277.60/277.81 assert (zenon_L118_ : (~((e10) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> ((j (e20)) = (e10)) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hd2 zenon_Hee zenon_Hec zenon_Hd. % 277.60/277.81 cut (((j (h (e13))) = (e13)) = ((e10) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd2. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hee. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.81 cut (((e10) = (e10)) = ((j (h (e13))) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hef. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((e10) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf0]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((e10) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf0. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e20)) = (e10)) = ((j (h (e13))) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hef. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hd. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((j (e20)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf3]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e20)) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L117_); trivial. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L118_ *) % 277.60/277.81 assert (zenon_L119_ : (~((e11) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> ((j (e20)) = (e11)) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hf4 zenon_Hee zenon_Hec zenon_H16. % 277.60/277.81 cut (((j (h (e13))) = (e13)) = ((e11) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hee. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((j (h (e13))) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf5. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((e11) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf6. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e20)) = (e11)) = ((j (h (e13))) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf5. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H16. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((j (e20)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf3]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e20)) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L117_); trivial. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L119_ *) % 277.60/277.81 assert (zenon_L120_ : (~((e12) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> ((j (e20)) = (e12)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H28 zenon_Hee zenon_Hec zenon_H1e. % 277.60/277.81 cut (((j (h (e13))) = (e13)) = ((e12) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H28. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hee. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.81 cut (((e12) = (e12)) = ((j (h (e13))) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf7. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H1f. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((e12) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((e12) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf8. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e20)) = (e12)) = ((j (h (e13))) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf7. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H1e. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (e20)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf3]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e20)) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L117_); trivial. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L120_ *) % 277.60/277.81 assert (zenon_L121_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e20)) -> ((j (e20)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H1d zenon_H1b zenon_H27 zenon_Hd2. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd2. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (h (e10))) = (e10)) = ((e13) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H1d. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((j (h (e10))) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf9. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.81 cut (((j (h (e10))) = (j (h (e10)))) = ((e13) = (j (h (e10))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfa. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H23. % 277.60/277.81 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.81 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e20)) = (e13)) = ((j (h (e10))) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf9. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H27. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (e20)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.81 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e20)) = (j (h (e10))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H25. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H23. % 277.60/277.81 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.81 cut (((j (h (e10))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L7_); trivial. % 277.60/277.81 apply zenon_H24. apply refl_equal. % 277.60/277.81 apply zenon_H24. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H24. apply refl_equal. % 277.60/277.81 apply zenon_H24. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L121_ *) % 277.60/277.81 assert (zenon_L122_ : ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> ((j (e20)) = (e14)) -> (~((e13) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hee zenon_Hec zenon_H2e zenon_H47. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((e13) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H47. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (h (e13))) = (e13)) = ((e14) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfb. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hee. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((j (h (e13))) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfc. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((e14) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfd. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e20)) = (e14)) = ((j (h (e13))) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfc. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H2e. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((j (e20)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf3]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e20)) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L117_); trivial. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L122_ *) % 277.60/277.81 assert (zenon_L123_ : (((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). % 277.60/277.81 do 0 intro. intros zenon_H34 zenon_Hf4 zenon_H28 zenon_Hd2 zenon_H1b zenon_H1d zenon_Hee zenon_Hec zenon_H47. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.81 apply (zenon_L118_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.81 apply (zenon_L119_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.81 apply (zenon_L120_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.81 apply (zenon_L121_); trivial. % 277.60/277.81 apply (zenon_L122_); trivial. % 277.60/277.81 (* end of lemma zenon_L123_ *) % 277.60/277.81 assert (zenon_L124_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (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)))))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e10) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H61 zenon_H42 zenon_H2f zenon_H55 zenon_H3c zenon_H47 zenon_H7f zenon_H8a zenon_H73 zenon_H92 zenon_H98 zenon_Hb zenon_Hd2 zenon_H74 zenon_H79 zenon_H6e zenon_H3b. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.81 apply (zenon_L23_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.81 apply (zenon_L24_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.81 apply (zenon_L25_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.81 apply (zenon_L26_); trivial. % 277.60/277.81 apply (zenon_L90_); trivial. % 277.60/277.81 (* end of lemma zenon_L124_ *) % 277.60/277.81 assert (zenon_L125_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e22) (e22)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H92 zenon_H68 zenon_H74 zenon_H73 zenon_H8a zenon_H5b zenon_Hd2. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd2. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e13) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd5. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e21)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H5b. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H96. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L43_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L125_ *) % 277.60/277.81 assert (zenon_L126_ : ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e14)) -> ((op2 (e22) (e22)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H74 zenon_H92 zenon_H83 zenon_H8a zenon_H5b zenon_Hd2. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd2. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e13) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd5. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e21)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H5b. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H96. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L46_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L126_ *) % 277.60/277.81 assert (zenon_L127_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((op2 (e22) (e22)) = (e21)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e13) = (e14))) -> (~((e12) = (e14))) -> (~((e11) = (e14))) -> ((op1 (e10) (e10)) = (e10)) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((h (e14)) = (e22)) -> ((j (h (e14))) = (e14)) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e10) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H61 zenon_H8a zenon_H92 zenon_H47 zenon_H2f zenon_H42 zenon_H73 zenon_H7f zenon_H66 zenon_H3c zenon_H98 zenon_Hb zenon_Hd2 zenon_H74 zenon_H79 zenon_H6e zenon_H3b. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.81 apply (zenon_L39_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.81 apply (zenon_L48_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.81 apply (zenon_L50_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.81 apply (zenon_L125_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.81 apply (zenon_L32_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.81 apply (zenon_L33_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.81 apply (zenon_L34_); trivial. % 277.60/277.81 apply (zenon_L126_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.81 apply (zenon_L31_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.81 apply (zenon_L86_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.81 apply (zenon_L87_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.81 apply (zenon_L88_); trivial. % 277.60/277.81 apply (zenon_L89_); trivial. % 277.60/277.81 (* end of lemma zenon_L127_ *) % 277.60/277.81 assert (zenon_L128_ : (~((j (h (e12))) = (j (e23)))) -> ((h (e12)) = (e23)) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hfe zenon_Hff. % 277.60/277.81 cut (((h (e12)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 277.60/277.81 congruence. % 277.60/277.81 exact (zenon_H100 zenon_Hff). % 277.60/277.81 (* end of lemma zenon_L128_ *) % 277.60/277.81 assert (zenon_L129_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e12) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hc zenon_Hff zenon_Hb2 zenon_H2f. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((e12) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H2f. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (h (e12))) = (e12)) = ((e14) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H31. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hc. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((j (h (e12))) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H32. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((e14) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H33. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e23)) = (e14)) = ((j (h (e12))) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H32. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hb2. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((j (e23)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e23)) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H101. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hfe]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L128_); trivial. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L129_ *) % 277.60/277.81 assert (zenon_L130_ : (((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). % 277.60/277.81 do 0 intro. intros zenon_Hb4 zenon_H3b zenon_H42 zenon_Hac zenon_H3c zenon_H47 zenon_Hc zenon_Hff zenon_H2f. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.81 apply (zenon_L103_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.81 apply (zenon_L61_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.81 apply (zenon_L62_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.81 apply (zenon_L63_); trivial. % 277.60/277.81 apply (zenon_L129_); trivial. % 277.60/277.81 (* end of lemma zenon_L130_ *) % 277.60/277.81 assert (zenon_L131_ : (~((j (h (e13))) = (j (e21)))) -> ((h (e13)) = (e21)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H102 zenon_H103. % 277.60/277.81 cut (((h (e13)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H104]. % 277.60/277.81 congruence. % 277.60/277.81 exact (zenon_H104 zenon_H103). % 277.60/277.81 (* end of lemma zenon_L131_ *) % 277.60/277.81 assert (zenon_L132_ : (~((e10) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> ((j (e21)) = (e10)) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hd2 zenon_Hee zenon_H103 zenon_H57. % 277.60/277.81 cut (((j (h (e13))) = (e13)) = ((e10) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd2. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hee. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.81 cut (((e10) = (e10)) = ((j (h (e13))) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hef. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((e10) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf0]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((e10) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf0. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e21)) = (e10)) = ((j (h (e13))) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hef. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H57. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((j (e21)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e21)) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H105. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L131_); trivial. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L132_ *) % 277.60/277.81 assert (zenon_L133_ : (~((e12) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> ((j (e21)) = (e12)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H28 zenon_Hee zenon_H103 zenon_H5a. % 277.60/277.81 cut (((j (h (e13))) = (e13)) = ((e12) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H28. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hee. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.81 cut (((e12) = (e12)) = ((j (h (e13))) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf7. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H1f. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((e12) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((e12) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf8. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e21)) = (e12)) = ((j (h (e13))) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf7. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H5a. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (e21)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e21)) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H105. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L131_); trivial. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L133_ *) % 277.60/277.81 assert (zenon_L134_ : (~((e11) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> ((j (e23)) = (e11)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H15 zenon_Hc zenon_Hff zenon_Hae. % 277.60/277.81 cut (((j (h (e12))) = (e12)) = ((e11) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H15. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hc. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((j (h (e12))) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H17. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((e11) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H19. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e23)) = (e11)) = ((j (h (e12))) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H17. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hae. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((j (e23)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e23)) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H101. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hfe]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L128_); trivial. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L134_ *) % 277.60/277.81 assert (zenon_L135_ : ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((j (e24)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e24) (e24)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hc2 zenon_Hbc zenon_H74 zenon_H73 zenon_Hb9 zenon_H5b zenon_Hd2. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd2. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e13) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd5. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e21)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H5b. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H96. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L72_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L135_ *) % 277.60/277.81 assert (zenon_L136_ : (~((op1 (j (e21)) (j (e23))) = (op1 (e13) (e12)))) -> ((j (e23)) = (e12)) -> ((j (e21)) = (e13)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H106 zenon_Hb0 zenon_H5b. % 277.60/277.81 cut (((j (e23)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 277.60/277.81 cut (((j (e21)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 277.60/277.81 congruence. % 277.60/277.81 exact (zenon_Hdc zenon_H5b). % 277.60/277.81 exact (zenon_H107 zenon_Hb0). % 277.60/277.81 (* end of lemma zenon_L136_ *) % 277.60/277.81 assert (zenon_L137_ : (~((op1 (j (e21)) (j (e23))) = (op1 (e14) (e14)))) -> ((op1 (e13) (e12)) = (e10)) -> ((j (e21)) = (e13)) -> ((j (e23)) = (e12)) -> ((op1 (e14) (e14)) = (e10)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H108 zenon_Hde zenon_H5b zenon_Hb0 zenon_H74. % 277.60/277.81 cut (((op1 (e13) (e12)) = (e10)) = ((op1 (j (e21)) (j (e23))) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H108. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hde. % 277.60/277.81 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 277.60/277.81 cut (((op1 (e13) (e12)) = (op1 (j (e21)) (j (e23))))); [idtac | apply NNPP; zenon_intro zenon_H109]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (j (e21)) (j (e23))) = (op1 (j (e21)) (j (e23))))); [ zenon_intro zenon_H10a | zenon_intro zenon_H10b ]. % 277.60/277.81 cut (((op1 (j (e21)) (j (e23))) = (op1 (j (e21)) (j (e23)))) = ((op1 (e13) (e12)) = (op1 (j (e21)) (j (e23))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H109. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H10a. % 277.60/277.81 cut (((op1 (j (e21)) (j (e23))) = (op1 (j (e21)) (j (e23))))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 277.60/277.81 cut (((op1 (j (e21)) (j (e23))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L136_); trivial. % 277.60/277.81 apply zenon_H10b. apply refl_equal. % 277.60/277.81 apply zenon_H10b. apply refl_equal. % 277.60/277.81 apply zenon_H75. apply sym_equal. exact zenon_H74. % 277.60/277.81 (* end of lemma zenon_L137_ *) % 277.60/277.81 assert (zenon_L138_ : ((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) -> ((op2 (e21) (e23)) = (e24)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e21)) = (e13)) -> ((j (e23)) = (e12)) -> (~((op1 (e14) (e14)) = (j (e24)))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H10c zenon_H10d zenon_Hde zenon_H74 zenon_H5b zenon_Hb0 zenon_H10e. % 277.60/277.81 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ]. % 277.60/277.81 cut (((j (e24)) = (j (e24))) = ((op1 (e14) (e14)) = (j (e24)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H10e. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H10f. % 277.60/277.81 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 277.60/277.81 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) = ((j (e24)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H111. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H10c. % 277.60/277.81 cut (((op1 (j (e21)) (j (e23))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 277.60/277.81 cut (((j (op2 (e21) (e23))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ]. % 277.60/277.81 cut (((j (e24)) = (j (e24))) = ((j (op2 (e21) (e23))) = (j (e24)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H112. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H10f. % 277.60/277.81 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 277.60/277.81 cut (((j (e24)) = (j (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((e24) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 277.60/277.81 congruence. % 277.60/277.81 apply zenon_H114. apply sym_equal. exact zenon_H10d. % 277.60/277.81 apply zenon_H110. apply refl_equal. % 277.60/277.81 apply zenon_H110. apply refl_equal. % 277.60/277.81 apply (zenon_L137_); trivial. % 277.60/277.81 apply zenon_H110. apply refl_equal. % 277.60/277.81 apply zenon_H110. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L138_ *) % 277.60/277.81 assert (zenon_L139_ : ((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) -> ((j (e23)) = (e12)) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e23)) = (e24)) -> ((j (e24)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H10c zenon_Hb0 zenon_H5b zenon_H74 zenon_Hde zenon_H10d zenon_Hc7 zenon_H98. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H98. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H99. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e24)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hc7. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H111. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L138_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L139_ *) % 277.60/277.81 assert (zenon_L140_ : ((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) -> ((j (e23)) = (e12)) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e23)) = (e24)) -> ((j (e24)) = (e14)) -> (~((e10) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H10c zenon_Hb0 zenon_H5b zenon_H74 zenon_Hde zenon_H10d zenon_Hcb zenon_H3b. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H3b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e14) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H84. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H85. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H86. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e24)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H85. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hcb. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H111. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L138_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L140_ *) % 277.60/277.81 assert (zenon_L141_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> ((j (e23)) = (e13)) -> (~((e12) = (e13))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hc zenon_Hff zenon_Hb1 zenon_H28. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((e12) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H28. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (h (e12))) = (e12)) = ((e13) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H2a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hc. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((j (h (e12))) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H2b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((e13) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H2c. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e23)) = (e13)) = ((j (h (e12))) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H2b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hb1. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (e23)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e23)) = (j (h (e12))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H101. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H11. % 277.60/277.81 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.81 cut (((j (h (e12))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hfe]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L128_); trivial. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H12. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L141_ *) % 277.60/277.81 assert (zenon_L142_ : ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (e23)) = (e14)) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H74 zenon_Ha9 zenon_Hb2 zenon_Ha0 zenon_H5b zenon_Hd2. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd2. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e13) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd3. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.81 cut (((e13) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H29. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((e13) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e13) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd5. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e21)) = (e13)) = ((op1 (e14) (e14)) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H5b. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H96. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L65_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L142_ *) % 277.60/277.81 assert (zenon_L143_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e10) = (e14))) -> ((op2 (e21) (e23)) = (e24)) -> ((op1 (e13) (e12)) = (e10)) -> ((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) -> (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> (~((e12) = (e14))) -> (~((e10) = (e11))) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e24) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e12) = (e13))) -> ((h (e12)) = (e23)) -> ((j (h (e12))) = (e12)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hb4 zenon_H15 zenon_H3b zenon_H10d zenon_Hde zenon_H10c zenon_H47 zenon_H3c zenon_Hc5 zenon_H2f zenon_H98 zenon_Hc2 zenon_H73 zenon_Hb9 zenon_Hcd zenon_H28 zenon_Hff zenon_Hc zenon_H74 zenon_Ha9 zenon_Ha0 zenon_H5b zenon_Hd2. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.81 apply (zenon_L113_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.81 apply (zenon_L134_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.81 apply (zenon_L135_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.81 apply (zenon_L139_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.81 apply (zenon_L76_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.81 apply (zenon_L77_); trivial. % 277.60/277.81 apply (zenon_L140_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.81 apply (zenon_L141_); trivial. % 277.60/277.81 apply (zenon_L142_); trivial. % 277.60/277.81 (* end of lemma zenon_L143_ *) % 277.60/277.81 assert (zenon_L144_ : ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> ((j (e21)) = (e14)) -> (~((e13) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hee zenon_H103 zenon_H5f zenon_H47. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((e13) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H47. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (h (e13))) = (e13)) = ((e14) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfb. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hee. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((j (h (e13))) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfc. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((e14) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfd. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e21)) = (e14)) = ((j (h (e13))) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfc. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H5f. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((j (e21)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e21)) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H105. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L131_); trivial. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L144_ *) % 277.60/277.81 assert (zenon_L145_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e14))) -> (~((e10) = (e13))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> (~((e12) = (e13))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e10) = (e11))) -> (~((e12) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> ((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e23)) = (e24)) -> (~((e10) = (e14))) -> (~((e11) = (e12))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> (~((e13) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H61 zenon_H42 zenon_Hd2 zenon_Ha0 zenon_Ha9 zenon_H74 zenon_Hc zenon_Hff zenon_H28 zenon_Hcd zenon_Hb9 zenon_H73 zenon_Hc2 zenon_H98 zenon_H2f zenon_Hc5 zenon_H3c zenon_H10c zenon_Hde zenon_H10d zenon_H3b zenon_H15 zenon_Hb4 zenon_Hee zenon_H103 zenon_H47. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.81 apply (zenon_L132_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.81 apply (zenon_L80_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.81 apply (zenon_L133_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.81 apply (zenon_L143_); trivial. % 277.60/277.81 apply (zenon_L144_); trivial. % 277.60/277.81 (* end of lemma zenon_L145_ *) % 277.60/277.81 assert (zenon_L146_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e20)) -> ((j (e20)) = (e14)) -> (~((e10) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H1d zenon_H1b zenon_H2e zenon_H3b. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H3b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (h (e10))) = (e10)) = ((e14) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H84. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H1d. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((j (h (e10))) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H115. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.81 cut (((j (h (e10))) = (j (h (e10)))) = ((e14) = (j (h (e10))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H116. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H23. % 277.60/277.81 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.81 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e20)) = (e14)) = ((j (h (e10))) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H115. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H2e. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((j (e20)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.81 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e20)) = (j (h (e10))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H25. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H23. % 277.60/277.81 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.81 cut (((j (h (e10))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L7_); trivial. % 277.60/277.81 apply zenon_H24. apply refl_equal. % 277.60/277.81 apply zenon_H24. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H24. apply refl_equal. % 277.60/277.81 apply zenon_H24. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L146_ *) % 277.60/277.81 assert (zenon_L147_ : (((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). % 277.60/277.81 do 0 intro. intros zenon_H34 zenon_H42 zenon_H2f zenon_H39 zenon_H3c zenon_H47 zenon_H1d zenon_H1b zenon_H3b. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.81 apply (zenon_L15_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.81 apply (zenon_L16_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.81 apply (zenon_L17_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.81 apply (zenon_L18_); trivial. % 277.60/277.81 apply (zenon_L146_); trivial. % 277.60/277.81 (* end of lemma zenon_L147_ *) % 277.60/277.81 assert (zenon_L148_ : (~((j (h (e13))) = (j (e22)))) -> ((h (e13)) = (e22)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H117 zenon_H118. % 277.60/277.81 cut (((h (e13)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 277.60/277.81 congruence. % 277.60/277.81 exact (zenon_H119 zenon_H118). % 277.60/277.81 (* end of lemma zenon_L148_ *) % 277.60/277.81 assert (zenon_L149_ : (~((e10) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> ((j (e22)) = (e10)) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hd2 zenon_Hee zenon_H118 zenon_H68. % 277.60/277.81 cut (((j (h (e13))) = (e13)) = ((e10) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hd2. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hee. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.81 cut (((e10) = (e10)) = ((j (h (e13))) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hef. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((e10) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf0]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((e10) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf0. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e22)) = (e10)) = ((j (h (e13))) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hef. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H68. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((j (e22)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e22)) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H11a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L148_); trivial. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L149_ *) % 277.60/277.81 assert (zenon_L150_ : (~((e11) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> ((j (e22)) = (e11)) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hf4 zenon_Hee zenon_H118 zenon_H6a. % 277.60/277.81 cut (((j (h (e13))) = (e13)) = ((e11) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf4. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hee. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((j (h (e13))) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf5. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((e11) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf6. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e22)) = (e11)) = ((j (h (e13))) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf5. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H6a. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((j (e22)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e22)) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H11a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L148_); trivial. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L150_ *) % 277.60/277.81 assert (zenon_L151_ : (~((e12) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> ((j (e22)) = (e12)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H28 zenon_Hee zenon_H118 zenon_H6b. % 277.60/277.81 cut (((j (h (e13))) = (e13)) = ((e12) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H28. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hee. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.81 cut (((e12) = (e12)) = ((j (h (e13))) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf7. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H1f. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((e12) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((e12) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf8. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e22)) = (e12)) = ((j (h (e13))) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hf7. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H6b. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (e22)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e22)) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H11a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L148_); trivial. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L151_ *) % 277.60/277.81 assert (zenon_L152_ : ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> ((j (e22)) = (e14)) -> (~((e13) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_Hee zenon_H118 zenon_H83 zenon_H47. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((e13) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H47. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (h (e13))) = (e13)) = ((e14) = (e13))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfb. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hee. % 277.60/277.81 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.81 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.81 cut (((e14) = (e14)) = ((j (h (e13))) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfc. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H30. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((e14) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((e14) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfd. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e22)) = (e14)) = ((j (h (e13))) = (e14))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hfc. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H83. % 277.60/277.81 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.81 cut (((j (e22)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e22)) = (j (h (e13))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H11a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hf1. % 277.60/277.81 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.81 cut (((j (h (e13))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L148_); trivial. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_Hf2. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H26. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 apply zenon_H2d. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L152_ *) % 277.60/277.81 assert (zenon_L153_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e21)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H7f zenon_Hf4 zenon_H28 zenon_Hd2 zenon_H6e zenon_H73 zenon_H74 zenon_H57 zenon_H79 zenon_Hee zenon_H118 zenon_H47. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.81 apply (zenon_L149_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.81 apply (zenon_L150_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.81 apply (zenon_L151_); trivial. % 277.60/277.81 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.81 apply (zenon_L98_); trivial. % 277.60/277.81 apply (zenon_L152_); trivial. % 277.60/277.81 (* end of lemma zenon_L153_ *) % 277.60/277.81 assert (zenon_L154_ : ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((j (e22)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e22) (e22)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H92 zenon_H68 zenon_H74 zenon_H73 zenon_H8a zenon_H5a zenon_Hb. % 277.60/277.81 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.81 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_Hb. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H1f. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e12) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H20. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.81 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9d. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H1f. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9e. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e21)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9d. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H5a. % 277.60/277.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.81 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H96. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L43_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 apply zenon_Ha. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L154_ *) % 277.60/277.81 assert (zenon_L155_ : (~((j (e24)) = (j (op2 (e22) (e21))))) -> ((op2 (e22) (e21)) = (e24)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H11b zenon_H11c. % 277.60/277.81 cut (((e24) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H11d]. % 277.60/277.81 congruence. % 277.60/277.81 apply zenon_H11d. apply sym_equal. exact zenon_H11c. % 277.60/277.81 (* end of lemma zenon_L155_ *) % 277.60/277.81 assert (zenon_L156_ : (~((op1 (j (e22)) (j (e21))) = (op1 (e13) (e12)))) -> ((j (e21)) = (e12)) -> ((j (e22)) = (e13)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H11e zenon_H5a zenon_H6c. % 277.60/277.81 cut (((j (e21)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H11f]. % 277.60/277.81 cut (((j (e22)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H120]. % 277.60/277.81 congruence. % 277.60/277.81 exact (zenon_H120 zenon_H6c). % 277.60/277.81 exact (zenon_H11f zenon_H5a). % 277.60/277.81 (* end of lemma zenon_L156_ *) % 277.60/277.81 assert (zenon_L157_ : (~((op1 (j (e22)) (j (e21))) = (op1 (e14) (e14)))) -> ((op1 (e13) (e12)) = (e10)) -> ((j (e22)) = (e13)) -> ((j (e21)) = (e12)) -> ((op1 (e14) (e14)) = (e10)) -> False). % 277.60/277.81 do 0 intro. intros zenon_H121 zenon_Hde zenon_H6c zenon_H5a zenon_H74. % 277.60/277.81 cut (((op1 (e13) (e12)) = (e10)) = ((op1 (j (e22)) (j (e21))) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H121. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hde. % 277.60/277.81 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 277.60/277.81 cut (((op1 (e13) (e12)) = (op1 (j (e22)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (j (e22)) (j (e21))) = (op1 (j (e22)) (j (e21))))); [ zenon_intro zenon_H123 | zenon_intro zenon_H124 ]. % 277.60/277.81 cut (((op1 (j (e22)) (j (e21))) = (op1 (j (e22)) (j (e21)))) = ((op1 (e13) (e12)) = (op1 (j (e22)) (j (e21))))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H122. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H123. % 277.60/277.81 cut (((op1 (j (e22)) (j (e21))) = (op1 (j (e22)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 277.60/277.81 cut (((op1 (j (e22)) (j (e21))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11e]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L156_); trivial. % 277.60/277.81 apply zenon_H124. apply refl_equal. % 277.60/277.81 apply zenon_H124. apply refl_equal. % 277.60/277.81 apply zenon_H75. apply sym_equal. exact zenon_H74. % 277.60/277.81 (* end of lemma zenon_L157_ *) % 277.60/277.81 assert (zenon_L158_ : ((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21)))) -> ((op2 (e22) (e21)) = (e24)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e22)) = (e13)) -> ((j (e21)) = (e12)) -> (~((op1 (e14) (e14)) = (j (e24)))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H125 zenon_H11c zenon_Hde zenon_H74 zenon_H6c zenon_H5a zenon_H10e. % 277.60/277.81 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ]. % 277.60/277.81 cut (((j (e24)) = (j (e24))) = ((op1 (e14) (e14)) = (j (e24)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H10e. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H10f. % 277.60/277.81 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 277.60/277.81 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21)))) = ((j (e24)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H111. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H125. % 277.60/277.81 cut (((op1 (j (e22)) (j (e21))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H121]. % 277.60/277.81 cut (((j (op2 (e22) (e21))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ]. % 277.60/277.81 cut (((j (e24)) = (j (e24))) = ((j (op2 (e22) (e21))) = (j (e24)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H126. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H10f. % 277.60/277.81 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 277.60/277.81 cut (((j (e24)) = (j (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H11b]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L155_); trivial. % 277.60/277.81 apply zenon_H110. apply refl_equal. % 277.60/277.81 apply zenon_H110. apply refl_equal. % 277.60/277.81 apply (zenon_L157_); trivial. % 277.60/277.81 apply zenon_H110. apply refl_equal. % 277.60/277.81 apply zenon_H110. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L158_ *) % 277.60/277.81 assert (zenon_L159_ : ((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((j (e22)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e22) (e21)) = (e24)) -> ((j (e24)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.81 do 0 intro. intros zenon_H125 zenon_H5a zenon_H6c zenon_H74 zenon_Hde zenon_H11c zenon_Hc7 zenon_H98. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H98. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H99. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H74. % 277.60/277.81 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.81 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H18. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9b. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.81 congruence. % 277.60/277.81 cut (((j (e24)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H9a. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_Hc7. % 277.60/277.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.81 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 277.60/277.81 congruence. % 277.60/277.81 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 277.60/277.81 intro zenon_D_pnotp. % 277.60/277.81 apply zenon_H111. % 277.60/277.81 rewrite <- zenon_D_pnotp. % 277.60/277.81 exact zenon_H87. % 277.60/277.81 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.81 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 277.60/277.81 congruence. % 277.60/277.81 apply (zenon_L158_); trivial. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H88. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H9. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 apply zenon_H14. apply refl_equal. % 277.60/277.81 (* end of lemma zenon_L159_ *) % 277.60/277.81 assert (zenon_L160_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e12))) -> ((op2 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e10) = (e11))) -> (~((e12) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21)))) -> ((j (e21)) = (e12)) -> ((j (e22)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e22) (e21)) = (e24)) -> (~((e10) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hcd zenon_Hb zenon_Hb9 zenon_H73 zenon_Hc2 zenon_H98 zenon_H2f zenon_Hc5 zenon_H3c zenon_H47 zenon_H125 zenon_H5a zenon_H6c zenon_H74 zenon_Hde zenon_H11c zenon_H3b. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.82 apply (zenon_L81_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.82 apply (zenon_L159_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.82 apply (zenon_L76_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.82 apply (zenon_L77_); trivial. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H3b. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e10)) = ((e14) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H84. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H74. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H85. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H86. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H87. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H85. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hcb. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H111. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H87. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L158_); trivial. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L160_ *) % 277.60/277.82 assert (zenon_L161_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((op2 (e22) (e22)) = (e21)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e10) = (e14))) -> ((op2 (e22) (e21)) = (e24)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e21)) = (e12)) -> ((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21)))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> (~((e12) = (e14))) -> (~((e10) = (e11))) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e24) (e24)) = (e21)) -> (~((e10) = (e12))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H7f zenon_H8a zenon_H92 zenon_Hf4 zenon_H28 zenon_H3b zenon_H11c zenon_Hde zenon_H74 zenon_H5a zenon_H125 zenon_H3c zenon_Hc5 zenon_H2f zenon_H98 zenon_Hc2 zenon_H73 zenon_Hb9 zenon_Hb zenon_Hcd zenon_Hee zenon_H118 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.82 apply (zenon_L154_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.82 apply (zenon_L150_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.82 apply (zenon_L151_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.82 apply (zenon_L160_); trivial. % 277.60/277.82 apply (zenon_L152_); trivial. % 277.60/277.82 (* end of lemma zenon_L161_ *) % 277.60/277.82 assert (zenon_L162_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e21)) = (e14)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H7f zenon_Hf4 zenon_H28 zenon_Hd2 zenon_H6e zenon_H5f zenon_H79 zenon_H74 zenon_Hee zenon_H118 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.82 apply (zenon_L149_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.82 apply (zenon_L150_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.82 apply (zenon_L151_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.82 apply (zenon_L88_); trivial. % 277.60/277.82 apply (zenon_L152_); trivial. % 277.60/277.82 (* end of lemma zenon_L162_ *) % 277.60/277.82 assert (zenon_L163_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e14))) -> (~((e10) = (e12))) -> ((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21)))) -> ((op2 (e22) (e21)) = (e24)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e10) = (e11))) -> (~((e12) = (e14))) -> ((h (e14)) = (e24)) -> ((j (h (e14))) = (e14)) -> ((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e23)) = (e24)) -> (~((e10) = (e14))) -> (~((e11) = (e12))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e22)) -> (~((e13) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H61 zenon_H42 zenon_Hb zenon_H125 zenon_H11c zenon_H92 zenon_H8a zenon_Ha0 zenon_Ha9 zenon_Hc zenon_Hff zenon_Hcd zenon_Hb9 zenon_H73 zenon_Hc2 zenon_H98 zenon_H2f zenon_Hc5 zenon_H3c zenon_H10c zenon_Hde zenon_H10d zenon_H3b zenon_H15 zenon_Hb4 zenon_H7f zenon_Hf4 zenon_H28 zenon_Hd2 zenon_H6e zenon_H79 zenon_H74 zenon_Hee zenon_H118 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.82 apply (zenon_L153_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.82 apply (zenon_L80_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.82 apply (zenon_L161_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.82 apply (zenon_L143_); trivial. % 277.60/277.82 apply (zenon_L162_); trivial. % 277.60/277.82 (* end of lemma zenon_L163_ *) % 277.60/277.82 assert (zenon_L164_ : (~((j (h (e13))) = (j (e23)))) -> ((h (e13)) = (e23)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H127 zenon_H128. % 277.60/277.82 cut (((h (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H129]. % 277.60/277.82 congruence. % 277.60/277.82 exact (zenon_H129 zenon_H128). % 277.60/277.82 (* end of lemma zenon_L164_ *) % 277.60/277.82 assert (zenon_L165_ : (~((e10) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> ((j (e23)) = (e10)) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hd2 zenon_Hee zenon_H128 zenon_Ha3. % 277.60/277.82 cut (((j (h (e13))) = (e13)) = ((e10) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hd2. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hee. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.82 cut (((e10) = (e10)) = ((j (h (e13))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hef. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((e10) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf0]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((e10) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf0. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e23)) = (e10)) = ((j (h (e13))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hef. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Ha3. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((j (e23)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e23)) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H12a. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H127]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L164_); trivial. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L165_ *) % 277.60/277.82 assert (zenon_L166_ : (~((e11) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> ((j (e23)) = (e11)) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hf4 zenon_Hee zenon_H128 zenon_Hae. % 277.60/277.82 cut (((j (h (e13))) = (e13)) = ((e11) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf4. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hee. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.82 cut (((e11) = (e11)) = ((j (h (e13))) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf5. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H18. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((e11) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((e11) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf6. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e23)) = (e11)) = ((j (h (e13))) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf5. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hae. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (e23)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e23)) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H12a. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H127]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L164_); trivial. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L166_ *) % 277.60/277.82 assert (zenon_L167_ : (~((e12) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> ((j (e23)) = (e12)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H28 zenon_Hee zenon_H128 zenon_Hb0. % 277.60/277.82 cut (((j (h (e13))) = (e13)) = ((e12) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H28. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hee. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.82 cut (((e12) = (e12)) = ((j (h (e13))) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf7. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H1f. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((e12) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((e12) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf8. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e23)) = (e12)) = ((j (h (e13))) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf7. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hb0. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((j (e23)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e23)) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H12a. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H127]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L164_); trivial. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L167_ *) % 277.60/277.82 assert (zenon_L168_ : ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e13) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hee zenon_H128 zenon_Hb2 zenon_H47. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((e13) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H47. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e13))) = (e13)) = ((e14) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hfb. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hee. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((j (h (e13))) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hfc. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((e14) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hfd. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e23)) = (e14)) = ((j (h (e13))) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hfc. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hb2. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((j (e23)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e23)) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H12a. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H127]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L164_); trivial. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L168_ *) % 277.60/277.82 assert (zenon_L169_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_Hb4 zenon_Hd2 zenon_Hf4 zenon_H28 zenon_Hff zenon_Hc zenon_Hee zenon_H128 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.82 apply (zenon_L165_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.82 apply (zenon_L166_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.82 apply (zenon_L167_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.82 apply (zenon_L141_); trivial. % 277.60/277.82 apply (zenon_L168_); trivial. % 277.60/277.82 (* end of lemma zenon_L169_ *) % 277.60/277.82 assert (zenon_L170_ : (~((e10) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> ((j (e24)) = (e10)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H3b zenon_H3c zenon_Hc5 zenon_Hbc. % 277.60/277.82 cut (((j (h (e14))) = (e14)) = ((e10) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H3b. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H3c. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.82 cut (((e10) = (e10)) = ((j (h (e14))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H3d. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((e10) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.82 cut (((j (h (e14))) = (j (h (e14)))) = ((e10) = (j (h (e14))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H3e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H3f. % 277.60/277.82 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.82 cut (((j (h (e14))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e10)) = ((j (h (e14))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H3d. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hbc. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((j (e24)) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e14))) = (j (h (e14))))); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 277.60/277.82 cut (((j (h (e14))) = (j (h (e14)))) = ((j (e24)) = (j (h (e14))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hc8. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H3f. % 277.60/277.82 cut (((j (h (e14))) = (j (h (e14))))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 277.60/277.82 cut (((j (h (e14))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L74_); trivial. % 277.60/277.82 apply zenon_H40. apply refl_equal. % 277.60/277.82 apply zenon_H40. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H40. apply refl_equal. % 277.60/277.82 apply zenon_H40. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L170_ *) % 277.60/277.82 assert (zenon_L171_ : (~((j (h (e13))) = (j (e24)))) -> ((h (e13)) = (e24)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H12b zenon_H12c. % 277.60/277.82 cut (((h (e13)) = (e24))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 277.60/277.82 congruence. % 277.60/277.82 exact (zenon_H12d zenon_H12c). % 277.60/277.82 (* end of lemma zenon_L171_ *) % 277.60/277.82 assert (zenon_L172_ : ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> ((j (e24)) = (e14)) -> (~((e13) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hee zenon_H12c zenon_Hcb zenon_H47. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((e13) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H47. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e13))) = (e13)) = ((e14) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hfb. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hee. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((j (h (e13))) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hfc. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((e14) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hfd. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e14)) = ((j (h (e13))) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hfc. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hcb. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((j (e24)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e24)) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H12e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L171_); trivial. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L172_ *) % 277.60/277.82 assert (zenon_L173_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_Hcd zenon_H3b zenon_H42 zenon_H2f zenon_Hc5 zenon_H3c zenon_Hee zenon_H12c zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.82 apply (zenon_L170_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.82 apply (zenon_L75_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.82 apply (zenon_L76_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.82 apply (zenon_L77_); trivial. % 277.60/277.82 apply (zenon_L172_); trivial. % 277.60/277.82 (* end of lemma zenon_L173_ *) % 277.60/277.82 assert (zenon_L174_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e20)) -> ((j (e20)) = (e13)) -> (~((e11) = (e13))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H4d zenon_H4b zenon_H27 zenon_Hf4. % 277.60/277.82 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.82 cut (((e13) = (e13)) = ((e11) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf4. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H29. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e13) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H12f. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.82 cut (((e13) = (e13)) = ((j (h (e11))) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H130. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H29. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((e13) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e13) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H131. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e20)) = (e13)) = ((j (h (e11))) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H130. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H27. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (e20)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e20)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H53. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L19_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L174_ *) % 277.60/277.82 assert (zenon_L175_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_H34 zenon_Hd2 zenon_Hec zenon_Hee zenon_H28 zenon_Hf4 zenon_H4d zenon_H4b zenon_H42. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.82 apply (zenon_L118_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.82 apply (zenon_L119_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.82 apply (zenon_L120_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.82 apply (zenon_L174_); trivial. % 277.60/277.82 apply (zenon_L20_); trivial. % 277.60/277.82 (* end of lemma zenon_L175_ *) % 277.60/277.82 assert (zenon_L176_ : (((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)) -> (~((e13) = (e14))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hb4 zenon_H3b zenon_H42 zenon_H2f zenon_Hac zenon_H3c zenon_H47 zenon_H74 zenon_Ha9 zenon_Ha0 zenon_H5b zenon_Hd2. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.82 apply (zenon_L103_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.82 apply (zenon_L61_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.82 apply (zenon_L62_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.82 apply (zenon_L63_); trivial. % 277.60/277.82 apply (zenon_L142_); trivial. % 277.60/277.82 (* end of lemma zenon_L176_ *) % 277.60/277.82 assert (zenon_L177_ : (~((j (h (e12))) = (j (e24)))) -> ((h (e12)) = (e24)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H132 zenon_H133. % 277.60/277.82 cut (((h (e12)) = (e24))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 277.60/277.82 congruence. % 277.60/277.82 exact (zenon_H134 zenon_H133). % 277.60/277.82 (* end of lemma zenon_L177_ *) % 277.60/277.82 assert (zenon_L178_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> ((j (e24)) = (e14)) -> (~((e12) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hc zenon_H133 zenon_Hcb zenon_H2f. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((e12) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H2f. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e12))) = (e12)) = ((e14) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H31. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hc. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((j (h (e12))) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H32. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12)))) = ((e14) = (j (h (e12))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H33. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H11. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.82 cut (((j (h (e12))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e14)) = ((j (h (e12))) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H32. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hcb. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((j (e24)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H135]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e24)) = (j (h (e12))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H135. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H11. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.82 cut (((j (h (e12))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L177_); trivial. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L178_ *) % 277.60/277.82 assert (zenon_L179_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_Hcd zenon_H3b zenon_H42 zenon_Hc5 zenon_H3c zenon_H47 zenon_Hc zenon_H133 zenon_H2f. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.82 apply (zenon_L170_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.82 apply (zenon_L75_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.82 apply (zenon_L76_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.82 apply (zenon_L77_); trivial. % 277.60/277.82 apply (zenon_L178_); trivial. % 277.60/277.82 (* end of lemma zenon_L179_ *) % 277.60/277.82 assert (zenon_L180_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_H7f zenon_H3b zenon_H42 zenon_H2f zenon_H66 zenon_H3c zenon_Hee zenon_H118 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.82 apply (zenon_L31_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.82 apply (zenon_L32_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.82 apply (zenon_L33_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.82 apply (zenon_L34_); trivial. % 277.60/277.82 apply (zenon_L152_); trivial. % 277.60/277.82 (* end of lemma zenon_L180_ *) % 277.60/277.82 assert (zenon_L181_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_Hb4 zenon_H3b zenon_H42 zenon_H2f zenon_Hac zenon_H3c zenon_Hee zenon_H128 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.82 apply (zenon_L103_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.82 apply (zenon_L61_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.82 apply (zenon_L62_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.82 apply (zenon_L63_); trivial. % 277.60/277.82 apply (zenon_L168_); trivial. % 277.60/277.82 (* end of lemma zenon_L181_ *) % 277.60/277.82 assert (zenon_L182_ : (~((e10) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> ((j (e24)) = (e10)) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hd2 zenon_Hee zenon_H12c zenon_Hbc. % 277.60/277.82 cut (((j (h (e13))) = (e13)) = ((e10) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hd2. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hee. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.82 cut (((e10) = (e10)) = ((j (h (e13))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hef. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((e10) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf0]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((e10) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf0. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e10)) = ((j (h (e13))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hef. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hbc. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((j (e24)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e24)) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H12e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L171_); trivial. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L182_ *) % 277.60/277.82 assert (zenon_L183_ : (~((e11) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> ((j (e24)) = (e11)) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hf4 zenon_Hee zenon_H12c zenon_Hc7. % 277.60/277.82 cut (((j (h (e13))) = (e13)) = ((e11) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf4. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hee. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.82 cut (((e11) = (e11)) = ((j (h (e13))) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf5. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H18. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((e11) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((e11) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf6. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e11)) = ((j (h (e13))) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf5. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hc7. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (e24)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e24)) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H12e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L171_); trivial. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L183_ *) % 277.60/277.82 assert (zenon_L184_ : (~((e12) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e24)) -> ((j (e24)) = (e12)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H28 zenon_Hee zenon_H12c zenon_Hc9. % 277.60/277.82 cut (((j (h (e13))) = (e13)) = ((e12) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H28. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hee. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.82 cut (((e12) = (e12)) = ((j (h (e13))) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf7. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H1f. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((e12) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((e12) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf8. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e12)) = ((j (h (e13))) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf7. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hc9. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((j (e24)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e24)) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H12e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L171_); trivial. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L184_ *) % 277.60/277.82 assert (zenon_L185_ : ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> ((j (e24)) = (e13)) -> (~((e12) = (e13))) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hc zenon_H133 zenon_Hca zenon_H28. % 277.60/277.82 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.82 cut (((e13) = (e13)) = ((e12) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H28. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H29. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e12))) = (e12)) = ((e13) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H2a. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hc. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.82 cut (((e13) = (e13)) = ((j (h (e12))) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H2b. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H29. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((e13) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12)))) = ((e13) = (j (h (e12))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H2c. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H11. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.82 cut (((j (h (e12))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e13)) = ((j (h (e12))) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H2b. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hca. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (e24)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H135]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e24)) = (j (h (e12))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H135. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H11. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.82 cut (((j (h (e12))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L177_); trivial. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L185_ *) % 277.60/277.82 assert (zenon_L186_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_Hcd zenon_Hd2 zenon_Hf4 zenon_H28 zenon_H133 zenon_Hc zenon_Hee zenon_H12c zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.82 apply (zenon_L182_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.82 apply (zenon_L183_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.82 apply (zenon_L184_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.82 apply (zenon_L185_); trivial. % 277.60/277.82 apply (zenon_L172_); trivial. % 277.60/277.82 (* end of lemma zenon_L186_ *) % 277.60/277.82 assert (zenon_L187_ : (~((e10) = (e11))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e21)) -> ((j (e21)) = (e10)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H98 zenon_H4d zenon_H136 zenon_H57. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e10) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H98. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.82 cut (((e10) = (e10)) = ((j (h (e11))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H137. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((e10) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e10) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H138. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e21)) = (e10)) = ((j (h (e11))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H137. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H57. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((j (e21)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e21)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H139. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H13a]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((h (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H13b]. % 277.60/277.82 congruence. % 277.60/277.82 exact (zenon_H13b zenon_H136). % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L187_ *) % 277.60/277.82 assert (zenon_L188_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((h (e11)) = (e21)) -> ((j (h (e11))) = (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))) -> (~((e11) = (e14))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e10) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H61 zenon_H136 zenon_H4d zenon_Ha0 zenon_Ha9 zenon_H47 zenon_H3c zenon_Hac zenon_H2f zenon_H42 zenon_Hb4 zenon_H7f zenon_H8a zenon_H73 zenon_H92 zenon_H98 zenon_Hb zenon_Hd2 zenon_H74 zenon_H79 zenon_H6e zenon_H3b. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.82 apply (zenon_L187_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.82 apply (zenon_L102_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.82 apply (zenon_L67_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.82 apply (zenon_L176_); trivial. % 277.60/277.82 apply (zenon_L90_); trivial. % 277.60/277.82 (* end of lemma zenon_L188_ *) % 277.60/277.82 assert (zenon_L189_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((h (e11)) = (e21)) -> ((j (h (e11))) = (e11)) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> ((op2 (e24) (e24)) = (e21)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((op1 (e14) (e14)) = (e10)) -> (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e24)) -> (~((e11) = (e14))) -> ((op1 (e10) (e10)) = (e10)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H61 zenon_H136 zenon_H4d zenon_H98 zenon_Hb zenon_Hb9 zenon_Hc2 zenon_H74 zenon_H47 zenon_H3c zenon_Hc5 zenon_H42 zenon_H73 zenon_Hcd zenon_H28 zenon_Hc zenon_H5d zenon_H2f. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.82 apply (zenon_L187_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.82 apply (zenon_L80_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.82 apply (zenon_L82_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.82 apply (zenon_L51_); trivial. % 277.60/277.82 apply (zenon_L28_); trivial. % 277.60/277.82 (* end of lemma zenon_L189_ *) % 277.60/277.82 assert (zenon_L190_ : (~((e11) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> ((j (e21)) = (e11)) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hf4 zenon_Hee zenon_H103 zenon_H59. % 277.60/277.82 cut (((j (h (e13))) = (e13)) = ((e11) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf4. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hee. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.82 cut (((e11) = (e11)) = ((j (h (e13))) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf5. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H18. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((e11) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((e11) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf6. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e21)) = (e11)) = ((j (h (e13))) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf5. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H59. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (e21)) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e13))) = (j (h (e13))))); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf2 ]. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13)))) = ((j (e21)) = (j (h (e13))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H105. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf1. % 277.60/277.82 cut (((j (h (e13))) = (j (h (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 277.60/277.82 cut (((j (h (e13))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L131_); trivial. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_Hf2. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L190_ *) % 277.60/277.82 assert (zenon_L191_ : (((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 (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e11))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e23)) -> (~((e10) = (e14))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((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). % 277.60/277.82 do 0 intro. intros zenon_H61 zenon_Hd2 zenon_Hf4 zenon_H2f zenon_Hd7 zenon_Hc zenon_H28 zenon_Hb4 zenon_H98 zenon_Hac zenon_H3c zenon_He2 zenon_H74 zenon_Hde zenon_He3 zenon_H3b zenon_H15 zenon_Hb zenon_H7f zenon_Hee zenon_H103 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.82 apply (zenon_L132_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.82 apply (zenon_L190_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.82 apply (zenon_L133_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.82 apply (zenon_L111_); trivial. % 277.60/277.82 apply (zenon_L144_); trivial. % 277.60/277.82 (* end of lemma zenon_L191_ *) % 277.60/277.82 assert (zenon_L192_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_H7f zenon_Hd2 zenon_Hf4 zenon_H28 zenon_Hd7 zenon_Hc zenon_Hee zenon_H118 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.82 apply (zenon_L149_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.82 apply (zenon_L150_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.82 apply (zenon_L151_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.82 apply (zenon_L110_); trivial. % 277.60/277.82 apply (zenon_L152_); trivial. % 277.60/277.82 (* end of lemma zenon_L192_ *) % 277.60/277.82 assert (zenon_L193_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((h (e11)) = (e21)) -> ((j (h (e11))) = (e11)) -> (~((e11) = (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)))))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e10) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H61 zenon_H136 zenon_H4d zenon_H42 zenon_H2f zenon_H55 zenon_H3c zenon_H47 zenon_H7f zenon_H8a zenon_H73 zenon_H92 zenon_H98 zenon_Hb zenon_Hd2 zenon_H74 zenon_H79 zenon_H6e zenon_H3b. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.82 apply (zenon_L187_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.82 apply (zenon_L24_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.82 apply (zenon_L25_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.82 apply (zenon_L26_); trivial. % 277.60/277.82 apply (zenon_L90_); trivial. % 277.60/277.82 (* end of lemma zenon_L193_ *) % 277.60/277.82 assert (zenon_L194_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e10) = (e14))) -> ((op2 (e21) (e22)) = (e23)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e21)) = (e13)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e23)) -> (((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). % 277.60/277.82 do 0 intro. intros zenon_H7f zenon_H15 zenon_H3b zenon_He3 zenon_Hde zenon_H74 zenon_H5b zenon_He2 zenon_Hd2 zenon_Hb zenon_Hf4 zenon_Hee zenon_H128 zenon_Hb4 zenon_H28 zenon_Hc zenon_Hd7 zenon_H2f. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.82 apply (zenon_L97_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.82 apply (zenon_L92_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.82 apply (zenon_L165_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.82 apply (zenon_L166_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.82 apply (zenon_L114_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.82 apply (zenon_L115_); trivial. % 277.60/277.82 apply (zenon_L108_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.82 apply (zenon_L110_); trivial. % 277.60/277.82 apply (zenon_L93_); trivial. % 277.60/277.82 (* end of lemma zenon_L194_ *) % 277.60/277.82 assert (zenon_L195_ : (((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)))) -> ((op1 (e14) (e14)) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e22) (e22)) = (e21)) -> (((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 (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e21)) -> (((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). % 277.60/277.82 do 0 intro. intros zenon_H13c zenon_H1b zenon_H1d zenon_H34 zenon_H6e zenon_H79 zenon_H74 zenon_Hd2 zenon_Hb zenon_H98 zenon_H92 zenon_H73 zenon_H8a zenon_H7f zenon_Hb4 zenon_Ha9 zenon_Ha0 zenon_H4d zenon_H136 zenon_H61 zenon_Hcd zenon_H3b zenon_H42 zenon_H2f zenon_H3c zenon_Hee zenon_H12c zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.82 apply (zenon_L147_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.82 apply (zenon_L193_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.82 apply (zenon_L127_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.82 apply (zenon_L188_); trivial. % 277.60/277.82 apply (zenon_L173_); trivial. % 277.60/277.82 (* end of lemma zenon_L195_ *) % 277.60/277.82 assert (zenon_L196_ : (~((j (h (e11))) = (j (e22)))) -> ((h (e11)) = (e22)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H140 zenon_H141. % 277.60/277.82 cut (((h (e11)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H142]. % 277.60/277.82 congruence. % 277.60/277.82 exact (zenon_H142 zenon_H141). % 277.60/277.82 (* end of lemma zenon_L196_ *) % 277.60/277.82 assert (zenon_L197_ : (~((e10) = (e11))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> ((j (e22)) = (e10)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H98 zenon_H4d zenon_H141 zenon_H68. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e10) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H98. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.82 cut (((e10) = (e10)) = ((j (h (e11))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H137. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((e10) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e10) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H138. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e22)) = (e10)) = ((j (h (e11))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H137. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H68. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((j (e22)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e22)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H143. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L196_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L197_ *) % 277.60/277.82 assert (zenon_L198_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> ((j (e22)) = (e12)) -> (~((e11) = (e12))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H4d zenon_H141 zenon_H6b zenon_H15. % 277.60/277.82 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.82 cut (((e12) = (e12)) = ((e11) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H15. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H1f. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H144]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e12) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H144. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.82 cut (((e12) = (e12)) = ((j (h (e11))) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H145. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H1f. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((e12) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H146]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e12) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H146. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e22)) = (e12)) = ((j (h (e11))) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H145. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H6b. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((j (e22)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e22)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H143. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L196_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L198_ *) % 277.60/277.82 assert (zenon_L199_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> ((j (e22)) = (e13)) -> (~((e11) = (e13))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H4d zenon_H141 zenon_H6c zenon_Hf4. % 277.60/277.82 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.82 cut (((e13) = (e13)) = ((e11) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf4. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H29. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e13) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H12f. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.82 cut (((e13) = (e13)) = ((j (h (e11))) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H130. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H29. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((e13) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e13) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H131. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e22)) = (e13)) = ((j (h (e11))) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H130. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H6c. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (e22)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e22)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H143. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L196_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L199_ *) % 277.60/277.82 assert (zenon_L200_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> ((j (e22)) = (e14)) -> (~((e11) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H4d zenon_H141 zenon_H83 zenon_H42. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((e11) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H42. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e14) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H4e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((j (h (e11))) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H4f. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e14) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H50. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e22)) = (e14)) = ((j (h (e11))) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H4f. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H83. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((j (e22)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e22)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H143. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L196_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L200_ *) % 277.60/277.82 assert (zenon_L201_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e21)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> (~((e11) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H7f zenon_H98 zenon_H6e zenon_H73 zenon_H74 zenon_H57 zenon_H79 zenon_H15 zenon_Hf4 zenon_H4d zenon_H141 zenon_H42. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.82 apply (zenon_L197_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.82 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.82 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H98. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H18. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H99. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H74. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.82 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H9a. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H18. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H9b. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H87. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e22)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H9a. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H6a. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (e22)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e22)) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H7d. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H87. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L38_); trivial. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.82 apply (zenon_L198_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.82 apply (zenon_L199_); trivial. % 277.60/277.82 apply (zenon_L200_); trivial. % 277.60/277.82 (* end of lemma zenon_L201_ *) % 277.60/277.82 assert (zenon_L202_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((h (e11)) = (e22)) -> ((j (h (e11))) = (e11)) -> (~((e11) = (e13))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e10) = (e11))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op1 (e14) (e14)) = (e10)) -> (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> (~((e11) = (e14))) -> ((op1 (e10) (e10)) = (e10)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H61 zenon_H141 zenon_H4d zenon_Hf4 zenon_H79 zenon_H6e zenon_H98 zenon_H7f zenon_H15 zenon_Hb zenon_Ha0 zenon_Ha9 zenon_H74 zenon_H47 zenon_H3c zenon_Hac zenon_H42 zenon_H73 zenon_Hb4 zenon_H28 zenon_Hc zenon_H5d zenon_H2f. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.82 apply (zenon_L201_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.82 apply (zenon_L54_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.82 apply (zenon_L67_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.82 apply (zenon_L51_); trivial. % 277.60/277.82 apply (zenon_L28_); trivial. % 277.60/277.82 (* end of lemma zenon_L202_ *) % 277.60/277.82 assert (zenon_L203_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e14))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (e21)) = (e14)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> (~((e11) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H7f zenon_H3b zenon_H8a zenon_H73 zenon_H92 zenon_H98 zenon_Hb zenon_Hd2 zenon_H6e zenon_H5f zenon_H79 zenon_H74 zenon_H4d zenon_H141 zenon_H42. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.82 apply (zenon_L83_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.82 apply (zenon_L86_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.82 apply (zenon_L87_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.82 apply (zenon_L88_); trivial. % 277.60/277.82 apply (zenon_L200_); trivial. % 277.60/277.82 (* end of lemma zenon_L203_ *) % 277.60/277.82 assert (zenon_L204_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> ((h (e11)) = (e22)) -> ((j (h (e11))) = (e11)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H7f zenon_Hb zenon_H15 zenon_H141 zenon_H4d zenon_H28 zenon_Hc zenon_Hd7 zenon_H2f. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.82 apply (zenon_L97_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.82 apply (zenon_L92_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.82 apply (zenon_L198_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.82 apply (zenon_L110_); trivial. % 277.60/277.82 apply (zenon_L93_); trivial. % 277.60/277.82 (* end of lemma zenon_L204_ *) % 277.60/277.82 assert (zenon_L205_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_H61 zenon_H3b zenon_H42 zenon_H2f zenon_H55 zenon_H3c zenon_Hee zenon_H103 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.82 apply (zenon_L23_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.82 apply (zenon_L24_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.82 apply (zenon_L25_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.82 apply (zenon_L26_); trivial. % 277.60/277.82 apply (zenon_L144_); trivial. % 277.60/277.82 (* end of lemma zenon_L205_ *) % 277.60/277.82 assert (zenon_L206_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_H7f zenon_H3b zenon_H2f zenon_H66 zenon_H3c zenon_H47 zenon_H4d zenon_H141 zenon_H42. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.82 apply (zenon_L31_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.82 apply (zenon_L32_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.82 apply (zenon_L33_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.82 apply (zenon_L34_); trivial. % 277.60/277.82 apply (zenon_L200_); trivial. % 277.60/277.82 (* end of lemma zenon_L206_ *) % 277.60/277.82 assert (zenon_L207_ : (~((e10) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e23)) -> ((j (e23)) = (e10)) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hb zenon_Hc zenon_Hff zenon_Ha3. % 277.60/277.82 cut (((j (h (e12))) = (e12)) = ((e10) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hb. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hc. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.82 cut (((e10) = (e10)) = ((j (h (e12))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_He. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((e10) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H10]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12)))) = ((e10) = (j (h (e12))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H10. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H11. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.82 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e23)) = (e10)) = ((j (h (e12))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_He. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Ha3. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((j (e23)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e23)) = (j (h (e12))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H101. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H11. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.82 cut (((j (h (e12))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hfe]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L128_); trivial. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L207_ *) % 277.60/277.82 assert (zenon_L208_ : (~((op1 (j (e22)) (j (e21))) = (op1 (e11) (e13)))) -> ((j (e21)) = (e13)) -> ((j (e22)) = (e11)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H147 zenon_H5b zenon_H6a. % 277.60/277.82 cut (((j (e21)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 277.60/277.82 cut (((j (e22)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 277.60/277.82 congruence. % 277.60/277.82 exact (zenon_H148 zenon_H6a). % 277.60/277.82 exact (zenon_Hdc zenon_H5b). % 277.60/277.82 (* end of lemma zenon_L208_ *) % 277.60/277.82 assert (zenon_L209_ : (~((op1 (j (e22)) (j (e21))) = (op1 (e14) (e14)))) -> ((op1 (e11) (e13)) = (e10)) -> ((j (e22)) = (e11)) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H121 zenon_H149 zenon_H6a zenon_H5b zenon_H74. % 277.60/277.82 cut (((op1 (e11) (e13)) = (e10)) = ((op1 (j (e22)) (j (e21))) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H121. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H149. % 277.60/277.82 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 277.60/277.82 cut (((op1 (e11) (e13)) = (op1 (j (e22)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (j (e22)) (j (e21))) = (op1 (j (e22)) (j (e21))))); [ zenon_intro zenon_H123 | zenon_intro zenon_H124 ]. % 277.60/277.82 cut (((op1 (j (e22)) (j (e21))) = (op1 (j (e22)) (j (e21)))) = ((op1 (e11) (e13)) = (op1 (j (e22)) (j (e21))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H14a. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H123. % 277.60/277.82 cut (((op1 (j (e22)) (j (e21))) = (op1 (j (e22)) (j (e21))))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 277.60/277.82 cut (((op1 (j (e22)) (j (e21))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H147]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L208_); trivial. % 277.60/277.82 apply zenon_H124. apply refl_equal. % 277.60/277.82 apply zenon_H124. apply refl_equal. % 277.60/277.82 apply zenon_H75. apply sym_equal. exact zenon_H74. % 277.60/277.82 (* end of lemma zenon_L209_ *) % 277.60/277.82 assert (zenon_L210_ : ((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21)))) -> ((j (e21)) = (e13)) -> ((j (e22)) = (e11)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> ((op2 (e22) (e21)) = (e24)) -> ((j (e24)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H125 zenon_H5b zenon_H6a zenon_H74 zenon_H149 zenon_H11c zenon_Hc9 zenon_Hb. % 277.60/277.82 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.82 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hb. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H1f. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e10)) = ((e12) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H20. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H74. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.82 cut (((e12) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H9d. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H1f. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((e12) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e12) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H9e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H87. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e12)) = ((op1 (e14) (e14)) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H9d. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hc9. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H111. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H87. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ]. % 277.60/277.82 cut (((j (e24)) = (j (e24))) = ((op1 (e14) (e14)) = (j (e24)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H10e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H10f. % 277.60/277.82 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 277.60/277.82 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21)))) = ((j (e24)) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H111. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H125. % 277.60/277.82 cut (((op1 (j (e22)) (j (e21))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H121]. % 277.60/277.82 cut (((j (op2 (e22) (e21))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ]. % 277.60/277.82 cut (((j (e24)) = (j (e24))) = ((j (op2 (e22) (e21))) = (j (e24)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H126. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H10f. % 277.60/277.82 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 277.60/277.82 cut (((j (e24)) = (j (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H11b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L155_); trivial. % 277.60/277.82 apply zenon_H110. apply refl_equal. % 277.60/277.82 apply zenon_H110. apply refl_equal. % 277.60/277.82 apply (zenon_L209_); trivial. % 277.60/277.82 apply zenon_H110. apply refl_equal. % 277.60/277.82 apply zenon_H110. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L210_ *) % 277.60/277.82 assert (zenon_L211_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e13))) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> ((h (e12)) = (e23)) -> ((j (h (e12))) = (e12)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((j (e22)) = (e12)) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e23)) -> (~((e10) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hb4 zenon_Hd2 zenon_Ha0 zenon_H73 zenon_Ha9 zenon_H98 zenon_Hb zenon_H28 zenon_Hff zenon_Hc zenon_He2 zenon_H6b zenon_H5b zenon_H74 zenon_Hde zenon_He3 zenon_H3b. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.82 apply (zenon_L113_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.82 apply (zenon_L107_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.82 apply (zenon_L114_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.82 apply (zenon_L141_); trivial. % 277.60/277.82 apply (zenon_L108_); trivial. % 277.60/277.82 (* end of lemma zenon_L211_ *) % 277.60/277.82 assert (zenon_L212_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_H7f zenon_Hd2 zenon_H28 zenon_Hf4 zenon_H141 zenon_H4d zenon_Hee zenon_H118 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.82 apply (zenon_L149_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.82 apply (zenon_L150_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.82 apply (zenon_L151_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.82 apply (zenon_L199_); trivial. % 277.60/277.82 apply (zenon_L152_); trivial. % 277.60/277.82 (* end of lemma zenon_L212_ *) % 277.60/277.82 assert (zenon_L213_ : (((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))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op2 (e21) (e21)) = (e22)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e10)) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e22)) -> (~((e11) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H61 zenon_H2f zenon_H55 zenon_H3c zenon_H47 zenon_H7f zenon_H3b zenon_H8a zenon_H73 zenon_H92 zenon_H98 zenon_Hb zenon_Hd2 zenon_H6e zenon_H79 zenon_H74 zenon_H4d zenon_H141 zenon_H42. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.82 apply (zenon_L23_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.82 apply (zenon_L24_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.82 apply (zenon_L25_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.82 apply (zenon_L26_); trivial. % 277.60/277.82 apply (zenon_L203_); trivial. % 277.60/277.82 (* end of lemma zenon_L213_ *) % 277.60/277.82 assert (zenon_L214_ : (~((e11) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> ((j (e24)) = (e11)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H15 zenon_Hc zenon_H133 zenon_Hc7. % 277.60/277.82 cut (((j (h (e12))) = (e12)) = ((e11) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H15. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hc. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.82 cut (((e11) = (e11)) = ((j (h (e12))) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H17. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H18. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((e11) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12)))) = ((e11) = (j (h (e12))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H19. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H11. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.82 cut (((j (h (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e11)) = ((j (h (e12))) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H17. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hc7. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (e24)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H135]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e24)) = (j (h (e12))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H135. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H11. % 277.60/277.82 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.82 cut (((j (h (e12))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L177_); trivial. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H12. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L214_ *) % 277.60/277.82 assert (zenon_L215_ : (~((j (h (e11))) = (j (e23)))) -> ((h (e11)) = (e23)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H14b zenon_H14c. % 277.60/277.82 cut (((h (e11)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14d]. % 277.60/277.82 congruence. % 277.60/277.82 exact (zenon_H14d zenon_H14c). % 277.60/277.82 (* end of lemma zenon_L215_ *) % 277.60/277.82 assert (zenon_L216_ : (~((e10) = (e11))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> ((j (e23)) = (e10)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H98 zenon_H4d zenon_H14c zenon_Ha3. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e10) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H98. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.82 cut (((e10) = (e10)) = ((j (h (e11))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H137. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((e10) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e10) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H138. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e23)) = (e10)) = ((j (h (e11))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H137. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Ha3. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((j (e23)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e23)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H14e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L215_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L216_ *) % 277.60/277.82 assert (zenon_L217_ : (~((op1 (j (e23)) (j (e20))) = (op1 (e11) (e13)))) -> ((j (e20)) = (e13)) -> ((j (e23)) = (e11)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H14f zenon_H27 zenon_Hae. % 277.60/277.82 cut (((j (e20)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 277.60/277.82 cut (((j (e23)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 277.60/277.82 congruence. % 277.60/277.82 exact (zenon_H151 zenon_Hae). % 277.60/277.82 exact (zenon_H150 zenon_H27). % 277.60/277.82 (* end of lemma zenon_L217_ *) % 277.60/277.82 assert (zenon_L218_ : (~((op1 (j (e23)) (j (e20))) = (op1 (e14) (e14)))) -> ((op1 (e11) (e13)) = (e10)) -> ((j (e23)) = (e11)) -> ((j (e20)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H152 zenon_H149 zenon_Hae zenon_H27 zenon_H74. % 277.60/277.82 cut (((op1 (e11) (e13)) = (e10)) = ((op1 (j (e23)) (j (e20))) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H152. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H149. % 277.60/277.82 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 277.60/277.82 cut (((op1 (e11) (e13)) = (op1 (j (e23)) (j (e20))))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (j (e23)) (j (e20))) = (op1 (j (e23)) (j (e20))))); [ zenon_intro zenon_H154 | zenon_intro zenon_H155 ]. % 277.60/277.82 cut (((op1 (j (e23)) (j (e20))) = (op1 (j (e23)) (j (e20)))) = ((op1 (e11) (e13)) = (op1 (j (e23)) (j (e20))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H153. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H154. % 277.60/277.82 cut (((op1 (j (e23)) (j (e20))) = (op1 (j (e23)) (j (e20))))); [idtac | apply NNPP; zenon_intro zenon_H155]. % 277.60/277.82 cut (((op1 (j (e23)) (j (e20))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H14f]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L217_); trivial. % 277.60/277.82 apply zenon_H155. apply refl_equal. % 277.60/277.82 apply zenon_H155. apply refl_equal. % 277.60/277.82 apply zenon_H75. apply sym_equal. exact zenon_H74. % 277.60/277.82 (* end of lemma zenon_L218_ *) % 277.60/277.82 assert (zenon_L219_ : ((j (op2 (e23) (e20))) = (op1 (j (e23)) (j (e20)))) -> ((j (e20)) = (e13)) -> ((j (e23)) = (e11)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> ((op2 (e23) (e20)) = (e23)) -> (~((e10) = (e11))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H156 zenon_H27 zenon_Hae zenon_H74 zenon_H149 zenon_H157 zenon_H98. % 277.60/277.82 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.82 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H98. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H18. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H99. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H74. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.82 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H9a. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H18. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H9b. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H87. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e23)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H9a. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hae. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e23)) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_He7. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H87. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_He5 | zenon_intro zenon_He6 ]. % 277.60/277.82 cut (((j (e23)) = (j (e23))) = ((op1 (e14) (e14)) = (j (e23)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_He4. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_He5. % 277.60/277.82 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 277.60/277.82 cut (((j (e23)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (op2 (e23) (e20))) = (op1 (j (e23)) (j (e20)))) = ((j (e23)) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_He7. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H156. % 277.60/277.82 cut (((op1 (j (e23)) (j (e20))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 277.60/277.82 cut (((j (op2 (e23) (e20))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H158]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (e23)) = (j (e23)))); [ zenon_intro zenon_He5 | zenon_intro zenon_He6 ]. % 277.60/277.82 cut (((j (e23)) = (j (e23))) = ((j (op2 (e23) (e20))) = (j (e23)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H158. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_He5. % 277.60/277.82 cut (((j (e23)) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 277.60/277.82 cut (((j (e23)) = (j (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H15a]. % 277.60/277.82 congruence. % 277.60/277.82 apply zenon_H15a. apply sym_equal. exact zenon_H157. % 277.60/277.82 apply zenon_He6. apply refl_equal. % 277.60/277.82 apply zenon_He6. apply refl_equal. % 277.60/277.82 apply (zenon_L218_); trivial. % 277.60/277.82 apply zenon_He6. apply refl_equal. % 277.60/277.82 apply zenon_He6. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L219_ *) % 277.60/277.82 assert (zenon_L220_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> ((j (e23)) = (e12)) -> (~((e11) = (e12))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H4d zenon_H14c zenon_Hb0 zenon_H15. % 277.60/277.82 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.82 cut (((e12) = (e12)) = ((e11) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H15. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H1f. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H144]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e12) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H144. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.82 cut (((e12) = (e12)) = ((j (h (e11))) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H145. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H1f. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((e12) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H146]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e12) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H146. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e23)) = (e12)) = ((j (h (e11))) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H145. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hb0. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((j (e23)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e23)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H14e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L215_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L220_ *) % 277.60/277.82 assert (zenon_L221_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> ((j (e23)) = (e13)) -> (~((e11) = (e13))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H4d zenon_H14c zenon_Hb1 zenon_Hf4. % 277.60/277.82 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.82 cut (((e13) = (e13)) = ((e11) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf4. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H29. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e13) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H12f. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.82 cut (((e13) = (e13)) = ((j (h (e11))) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H130. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H29. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((e13) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e13) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H131. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e23)) = (e13)) = ((j (h (e11))) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H130. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hb1. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (e23)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e23)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H14e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L215_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L221_ *) % 277.60/277.82 assert (zenon_L222_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e11) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H4d zenon_H14c zenon_Hb2 zenon_H42. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((e11) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H42. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e14) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H4e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((j (h (e11))) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H4f. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e14) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H50. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e23)) = (e14)) = ((j (h (e11))) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H4f. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hb2. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((j (e23)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e23)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H14e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L215_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L222_ *) % 277.60/277.82 assert (zenon_L223_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e23) (e20)) = (e23)) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e20)) = (e13)) -> ((j (op2 (e23) (e20))) = (op1 (j (e23)) (j (e20)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> (~((e11) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hb4 zenon_H98 zenon_H157 zenon_H149 zenon_H74 zenon_H27 zenon_H156 zenon_H15 zenon_Hf4 zenon_H4d zenon_H14c zenon_H42. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.82 apply (zenon_L216_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.82 apply (zenon_L219_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.82 apply (zenon_L220_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.82 apply (zenon_L221_); trivial. % 277.60/277.82 apply (zenon_L222_); trivial. % 277.60/277.82 (* end of lemma zenon_L223_ *) % 277.60/277.82 assert (zenon_L224_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (~((e11) = (e14))) -> ((h (e11)) = (e23)) -> ((j (h (e11))) = (e11)) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (op2 (e23) (e20))) = (op1 (j (e23)) (j (e20)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> ((op2 (e23) (e20)) = (e23)) -> (~((e10) = (e11))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> (~((e13) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H34 zenon_Hd2 zenon_H28 zenon_H42 zenon_H14c zenon_H4d zenon_Hf4 zenon_H15 zenon_H156 zenon_H74 zenon_H149 zenon_H157 zenon_H98 zenon_Hb4 zenon_Hee zenon_Hec zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.82 apply (zenon_L118_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.82 apply (zenon_L119_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.82 apply (zenon_L120_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.82 apply (zenon_L223_); trivial. % 277.60/277.82 apply (zenon_L122_); trivial. % 277.60/277.82 (* end of lemma zenon_L224_ *) % 277.60/277.82 assert (zenon_L225_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> ((h (e12)) = (e21)) -> ((j (h (e12))) = (e12)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> (~((e13) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H61 zenon_Hb zenon_H15 zenon_H28 zenon_H5d zenon_Hc zenon_Hee zenon_H103 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.82 apply (zenon_L53_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.82 apply (zenon_L54_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.82 apply (zenon_L133_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.82 apply (zenon_L51_); trivial. % 277.60/277.82 apply (zenon_L144_); trivial. % 277.60/277.82 (* end of lemma zenon_L225_ *) % 277.60/277.82 assert (zenon_L226_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_Hb4 zenon_H3b zenon_H2f zenon_Hac zenon_H3c zenon_H47 zenon_H4d zenon_H14c zenon_H42. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.82 apply (zenon_L103_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.82 apply (zenon_L61_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.82 apply (zenon_L62_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.82 apply (zenon_L63_); trivial. % 277.60/277.82 apply (zenon_L222_); trivial. % 277.60/277.82 (* end of lemma zenon_L226_ *) % 277.60/277.82 assert (zenon_L227_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_Hb4 zenon_Hd2 zenon_H28 zenon_Hf4 zenon_H14c zenon_H4d zenon_Hee zenon_H128 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.82 apply (zenon_L165_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.82 apply (zenon_L166_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.82 apply (zenon_L167_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.82 apply (zenon_L221_); trivial. % 277.60/277.82 apply (zenon_L168_); trivial. % 277.60/277.82 (* end of lemma zenon_L227_ *) % 277.60/277.82 assert (zenon_L228_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e21) (e22)) = (e23)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e21)) = (e13)) -> ((j (e22)) = (e12)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> (~((e11) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hb4 zenon_H98 zenon_He3 zenon_Hde zenon_H74 zenon_H5b zenon_H6b zenon_He2 zenon_H15 zenon_Hf4 zenon_H4d zenon_H14c zenon_H42. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.82 apply (zenon_L216_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.82 apply (zenon_L107_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.82 apply (zenon_L220_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.82 apply (zenon_L221_); trivial. % 277.60/277.82 apply (zenon_L222_); trivial. % 277.60/277.82 (* end of lemma zenon_L228_ *) % 277.60/277.82 assert (zenon_L229_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e12) = (e14))) -> ((h (e12)) = (e22)) -> ((j (h (e12))) = (e12)) -> (~((e12) = (e13))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e21) (e22)) = (e23)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> (~((e11) = (e14))) -> (~((e10) = (e12))) -> (((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). % 277.60/277.82 do 0 intro. intros zenon_H61 zenon_Hd2 zenon_H2f zenon_Hd7 zenon_Hc zenon_H28 zenon_Hb4 zenon_H98 zenon_He3 zenon_Hde zenon_H74 zenon_He2 zenon_H15 zenon_Hf4 zenon_H4d zenon_H14c zenon_H42 zenon_Hb zenon_H7f zenon_Hee zenon_H103 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.82 apply (zenon_L132_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.82 apply (zenon_L190_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.82 apply (zenon_L133_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.82 apply (zenon_L97_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.82 apply (zenon_L92_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.82 apply (zenon_L228_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.82 apply (zenon_L110_); trivial. % 277.60/277.82 apply (zenon_L93_); trivial. % 277.60/277.82 apply (zenon_L144_); trivial. % 277.60/277.82 (* end of lemma zenon_L229_ *) % 277.60/277.82 assert (zenon_L230_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_Hb4 zenon_Hb zenon_H15 zenon_H14c zenon_H4d zenon_H28 zenon_Hc zenon_Hff zenon_H2f. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.82 apply (zenon_L207_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.82 apply (zenon_L134_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.82 apply (zenon_L220_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.82 apply (zenon_L141_); trivial. % 277.60/277.82 apply (zenon_L129_); trivial. % 277.60/277.82 (* end of lemma zenon_L230_ *) % 277.60/277.82 assert (zenon_L231_ : (~((j (h (e11))) = (j (e24)))) -> ((h (e11)) = (e24)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H15b zenon_H15c. % 277.60/277.82 cut (((h (e11)) = (e24))); [idtac | apply NNPP; zenon_intro zenon_H15d]. % 277.60/277.82 congruence. % 277.60/277.82 exact (zenon_H15d zenon_H15c). % 277.60/277.82 (* end of lemma zenon_L231_ *) % 277.60/277.82 assert (zenon_L232_ : (~((e10) = (e11))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> ((j (e24)) = (e10)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H98 zenon_H4d zenon_H15c zenon_Hbc. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e10) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H98. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.82 cut (((e10) = (e10)) = ((j (h (e11))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H137. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hf. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((e10) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e10) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H138. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e10)) = ((j (h (e11))) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H137. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hbc. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((j (e24)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H15e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e24)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H15e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L231_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L232_ *) % 277.60/277.82 assert (zenon_L233_ : (~((op1 (j (e24)) (j (e20))) = (op1 (e11) (e13)))) -> ((j (e20)) = (e13)) -> ((j (e24)) = (e11)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H15f zenon_H27 zenon_Hc7. % 277.60/277.82 cut (((j (e20)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 277.60/277.82 cut (((j (e24)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H160]. % 277.60/277.82 congruence. % 277.60/277.82 exact (zenon_H160 zenon_Hc7). % 277.60/277.82 exact (zenon_H150 zenon_H27). % 277.60/277.82 (* end of lemma zenon_L233_ *) % 277.60/277.82 assert (zenon_L234_ : (~((op1 (j (e24)) (j (e20))) = (op1 (e14) (e14)))) -> ((op1 (e11) (e13)) = (e10)) -> ((j (e24)) = (e11)) -> ((j (e20)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> False). % 277.60/277.82 do 0 intro. intros zenon_H161 zenon_H149 zenon_Hc7 zenon_H27 zenon_H74. % 277.60/277.82 cut (((op1 (e11) (e13)) = (e10)) = ((op1 (j (e24)) (j (e20))) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H161. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H149. % 277.60/277.82 cut (((e10) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 277.60/277.82 cut (((op1 (e11) (e13)) = (op1 (j (e24)) (j (e20))))); [idtac | apply NNPP; zenon_intro zenon_H162]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (j (e24)) (j (e20))) = (op1 (j (e24)) (j (e20))))); [ zenon_intro zenon_H163 | zenon_intro zenon_H164 ]. % 277.60/277.82 cut (((op1 (j (e24)) (j (e20))) = (op1 (j (e24)) (j (e20)))) = ((op1 (e11) (e13)) = (op1 (j (e24)) (j (e20))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H162. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H163. % 277.60/277.82 cut (((op1 (j (e24)) (j (e20))) = (op1 (j (e24)) (j (e20))))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 277.60/277.82 cut (((op1 (j (e24)) (j (e20))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15f]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L233_); trivial. % 277.60/277.82 apply zenon_H164. apply refl_equal. % 277.60/277.82 apply zenon_H164. apply refl_equal. % 277.60/277.82 apply zenon_H75. apply sym_equal. exact zenon_H74. % 277.60/277.82 (* end of lemma zenon_L234_ *) % 277.60/277.82 assert (zenon_L235_ : ((j (op2 (e24) (e20))) = (op1 (j (e24)) (j (e20)))) -> ((j (e20)) = (e13)) -> ((j (e24)) = (e11)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> ((op2 (e24) (e20)) = (e24)) -> (~((e10) = (e11))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H165 zenon_H27 zenon_Hc7 zenon_H74 zenon_H149 zenon_H166 zenon_H98. % 277.60/277.82 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.82 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H98. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H18. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e10)) = ((e11) = (e10))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H99. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H74. % 277.60/277.82 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.82 cut (((e11) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H9a. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H18. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((e11) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e11) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H9b. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H87. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e11)) = ((op1 (e14) (e14)) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H9a. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hc7. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e24)) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H111. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H87. % 277.60/277.82 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.82 cut (((op1 (e14) (e14)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ]. % 277.60/277.82 cut (((j (e24)) = (j (e24))) = ((op1 (e14) (e14)) = (j (e24)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H10e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H10f. % 277.60/277.82 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 277.60/277.82 cut (((j (e24)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (op2 (e24) (e20))) = (op1 (j (e24)) (j (e20)))) = ((j (e24)) = (op1 (e14) (e14)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H111. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H165. % 277.60/277.82 cut (((op1 (j (e24)) (j (e20))) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H161]. % 277.60/277.82 cut (((j (op2 (e24) (e20))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (e24)) = (j (e24)))); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ]. % 277.60/277.82 cut (((j (e24)) = (j (e24))) = ((j (op2 (e24) (e20))) = (j (e24)))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H167. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H10f. % 277.60/277.82 cut (((j (e24)) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 277.60/277.82 cut (((j (e24)) = (j (op2 (e24) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H168]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((e24) = (op2 (e24) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H169]. % 277.60/277.82 congruence. % 277.60/277.82 apply zenon_H169. apply sym_equal. exact zenon_H166. % 277.60/277.82 apply zenon_H110. apply refl_equal. % 277.60/277.82 apply zenon_H110. apply refl_equal. % 277.60/277.82 apply (zenon_L234_); trivial. % 277.60/277.82 apply zenon_H110. apply refl_equal. % 277.60/277.82 apply zenon_H110. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H88. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H9. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L235_ *) % 277.60/277.82 assert (zenon_L236_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> ((j (e24)) = (e12)) -> (~((e11) = (e12))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H4d zenon_H15c zenon_Hc9 zenon_H15. % 277.60/277.82 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.82 cut (((e12) = (e12)) = ((e11) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H15. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H1f. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H144]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e12) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H144. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.82 cut (((e12) = (e12)) = ((j (h (e11))) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H145. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H1f. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((e12) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H146]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e12) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H146. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e12)) = ((j (h (e11))) = (e12))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H145. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hc9. % 277.60/277.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.82 cut (((j (e24)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H15e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e24)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H15e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L231_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 apply zenon_Ha. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L236_ *) % 277.60/277.82 assert (zenon_L237_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> ((j (e24)) = (e13)) -> (~((e11) = (e13))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H4d zenon_H15c zenon_Hca zenon_Hf4. % 277.60/277.82 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.82 cut (((e13) = (e13)) = ((e11) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_Hf4. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H29. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e13) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H12f. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.82 cut (((e13) = (e13)) = ((j (h (e11))) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H130. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H29. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((e13) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e13) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H131. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e13)) = ((j (h (e11))) = (e13))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H130. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hca. % 277.60/277.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.82 cut (((j (e24)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H15e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e24)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H15e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L231_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 apply zenon_H26. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L237_ *) % 277.60/277.82 assert (zenon_L238_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> ((j (e24)) = (e14)) -> (~((e11) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H4d zenon_H15c zenon_Hcb zenon_H42. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((e11) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H42. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (h (e11))) = (e11)) = ((e14) = (e11))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H4e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H4d. % 277.60/277.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.82 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.82 cut (((e14) = (e14)) = ((j (h (e11))) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H4f. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H30. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((e14) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((e14) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H50. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 277.60/277.82 congruence. % 277.60/277.82 cut (((j (e24)) = (e14)) = ((j (h (e11))) = (e14))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H4f. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_Hcb. % 277.60/277.82 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.82 cut (((j (e24)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H15e]. % 277.60/277.82 congruence. % 277.60/277.82 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e24)) = (j (h (e11))))). % 277.60/277.82 intro zenon_D_pnotp. % 277.60/277.82 apply zenon_H15e. % 277.60/277.82 rewrite <- zenon_D_pnotp. % 277.60/277.82 exact zenon_H51. % 277.60/277.82 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.82 cut (((j (h (e11))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 277.60/277.82 congruence. % 277.60/277.82 apply (zenon_L231_); trivial. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H52. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H14. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 apply zenon_H2d. apply refl_equal. % 277.60/277.82 (* end of lemma zenon_L238_ *) % 277.60/277.82 assert (zenon_L239_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e24) (e20)) = (e24)) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e20)) = (e13)) -> ((j (op2 (e24) (e20))) = (op1 (j (e24)) (j (e20)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> (~((e11) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hcd zenon_H98 zenon_H166 zenon_H149 zenon_H74 zenon_H27 zenon_H165 zenon_H15 zenon_Hf4 zenon_H4d zenon_H15c zenon_H42. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.82 apply (zenon_L232_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.82 apply (zenon_L235_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.82 apply (zenon_L236_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.82 apply (zenon_L237_); trivial. % 277.60/277.82 apply (zenon_L238_); trivial. % 277.60/277.82 (* end of lemma zenon_L239_ *) % 277.60/277.82 assert (zenon_L240_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (~((e11) = (e14))) -> ((h (e11)) = (e24)) -> ((j (h (e11))) = (e11)) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (op2 (e24) (e20))) = (op1 (j (e24)) (j (e20)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> ((op2 (e24) (e20)) = (e24)) -> (~((e10) = (e11))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> (~((e13) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_H34 zenon_Hd2 zenon_H28 zenon_H42 zenon_H15c zenon_H4d zenon_Hf4 zenon_H15 zenon_H165 zenon_H74 zenon_H149 zenon_H166 zenon_H98 zenon_Hcd zenon_Hee zenon_Hec zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.82 apply (zenon_L118_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.82 apply (zenon_L119_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.82 apply (zenon_L120_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.82 apply (zenon_L239_); trivial. % 277.60/277.82 apply (zenon_L122_); trivial. % 277.60/277.82 (* end of lemma zenon_L240_ *) % 277.60/277.82 assert (zenon_L241_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_Hcd zenon_H3b zenon_H2f zenon_Hc5 zenon_H3c zenon_H47 zenon_H4d zenon_H15c zenon_H42. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.82 apply (zenon_L170_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.82 apply (zenon_L75_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.82 apply (zenon_L76_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.82 apply (zenon_L77_); trivial. % 277.60/277.82 apply (zenon_L238_); trivial. % 277.60/277.82 (* end of lemma zenon_L241_ *) % 277.60/277.82 assert (zenon_L242_ : (((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). % 277.60/277.82 do 0 intro. intros zenon_Hcd zenon_Hd2 zenon_H28 zenon_Hf4 zenon_H15c zenon_H4d zenon_Hee zenon_H12c zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.82 apply (zenon_L182_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.82 apply (zenon_L183_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.82 apply (zenon_L184_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.82 apply (zenon_L237_); trivial. % 277.60/277.82 apply (zenon_L172_); trivial. % 277.60/277.82 (* end of lemma zenon_L242_ *) % 277.60/277.82 assert (zenon_L243_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e13))) -> ((op2 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e10) = (e11))) -> ((op2 (e21) (e23)) = (e24)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e21)) = (e13)) -> ((j (e23)) = (e12)) -> ((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> (~((e11) = (e14))) -> False). % 277.60/277.82 do 0 intro. intros zenon_Hcd zenon_Hd2 zenon_Hb9 zenon_H73 zenon_Hc2 zenon_H98 zenon_H10d zenon_Hde zenon_H74 zenon_H5b zenon_Hb0 zenon_H10c zenon_H15 zenon_Hf4 zenon_H4d zenon_H15c zenon_H42. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.82 apply (zenon_L135_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.82 apply (zenon_L139_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.82 apply (zenon_L236_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.82 apply (zenon_L237_); trivial. % 277.60/277.82 apply (zenon_L238_); trivial. % 277.60/277.82 (* end of lemma zenon_L243_ *) % 277.60/277.82 assert (zenon_L244_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e10) = (e12))) -> (~((e12) = (e14))) -> ((h (e12)) = (e22)) -> ((j (h (e12))) = (e12)) -> (~((e12) = (e13))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e11) = (e14))) -> ((h (e11)) = (e24)) -> ((j (h (e11))) = (e11)) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) -> ((op2 (e21) (e23)) = (e24)) -> (~((e10) = (e11))) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e24) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e13))) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e23)) -> (~((e10) = (e14))) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (((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). % 277.60/277.82 do 0 intro. intros zenon_H61 zenon_H79 zenon_H6e zenon_Hb zenon_H2f zenon_Hd7 zenon_Hc zenon_H28 zenon_Hb4 zenon_Ha0 zenon_Ha9 zenon_H42 zenon_H15c zenon_H4d zenon_Hf4 zenon_H15 zenon_H10c zenon_H10d zenon_H98 zenon_Hc2 zenon_H73 zenon_Hb9 zenon_Hcd zenon_Hd2 zenon_He2 zenon_H74 zenon_Hde zenon_He3 zenon_H3b zenon_H92 zenon_H8a zenon_H7f zenon_Hee zenon_H103 zenon_H47. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.82 apply (zenon_L99_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.82 apply (zenon_L190_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.82 apply (zenon_L133_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.82 apply (zenon_L125_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.82 apply (zenon_L92_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.82 apply (zenon_L113_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.82 apply (zenon_L107_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.82 apply (zenon_L243_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.82 apply (zenon_L115_); trivial. % 277.60/277.82 apply (zenon_L108_); trivial. % 277.60/277.82 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.82 apply (zenon_L110_); trivial. % 277.60/277.82 apply (zenon_L93_); trivial. % 277.60/277.82 apply (zenon_L144_); trivial. % 277.60/277.82 (* end of lemma zenon_L244_ *) % 277.60/277.82 assert (zenon_L245_ : (((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) (e23))) = (op1 (j (e21)) (j (e23)))) -> ((j (e21)) = (e13)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e23)) = (e24)) -> (~((e10) = (e11))) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e24) (e24)) = (e21)) -> (~((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). % 277.60/277.83 do 0 intro. intros zenon_Hb4 zenon_Hb zenon_H42 zenon_H15c zenon_H4d zenon_Hf4 zenon_H15 zenon_H10c zenon_H5b zenon_H74 zenon_Hde zenon_H10d zenon_H98 zenon_Hc2 zenon_H73 zenon_Hb9 zenon_Hd2 zenon_Hcd zenon_H28 zenon_Hc zenon_Hff zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.83 apply (zenon_L207_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.83 apply (zenon_L134_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.83 apply (zenon_L243_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.83 apply (zenon_L141_); trivial. % 277.60/277.83 apply (zenon_L129_); trivial. % 277.60/277.83 (* end of lemma zenon_L245_ *) % 277.60/277.83 assert (zenon_L246_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((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 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e10) = (e11))) -> ((op2 (e21) (e23)) = (e24)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> (~((e11) = (e14))) -> (~((e10) = (e12))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> (~((e13) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H2f zenon_Hff zenon_Hc zenon_H28 zenon_Hcd zenon_Hd2 zenon_Hb9 zenon_H73 zenon_Hc2 zenon_H98 zenon_H10d zenon_Hde zenon_H74 zenon_H10c zenon_H15 zenon_Hf4 zenon_H4d zenon_H15c zenon_H42 zenon_Hb zenon_Hb4 zenon_Hee zenon_H103 zenon_H47. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L132_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L190_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L133_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L245_); trivial. % 277.60/277.83 apply (zenon_L144_); trivial. % 277.60/277.83 (* end of lemma zenon_L246_ *) % 277.60/277.83 assert (zenon_L247_ : (~((e10) = (e12))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e24)) -> ((j (e24)) = (e10)) -> False). % 277.60/277.83 do 0 intro. intros zenon_Hb zenon_Hc zenon_H133 zenon_Hbc. % 277.60/277.83 cut (((j (h (e12))) = (e12)) = ((e10) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hb. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_Hc. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e10) = (e10))); [ zenon_intro zenon_Hf | zenon_intro zenon_H9 ]. % 277.60/277.83 cut (((e10) = (e10)) = ((j (h (e12))) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_He. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_Hf. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((e10) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H10]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.83 cut (((j (h (e12))) = (j (h (e12)))) = ((e10) = (j (h (e12))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H10. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H11. % 277.60/277.83 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.83 cut (((j (h (e12))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e24)) = (e10)) = ((j (h (e12))) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_He. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_Hbc. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (e24)) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H135]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e12))) = (j (h (e12))))); [ zenon_intro zenon_H11 | zenon_intro zenon_H12 ]. % 277.60/277.83 cut (((j (h (e12))) = (j (h (e12)))) = ((j (e24)) = (j (h (e12))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H135. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H11. % 277.60/277.83 cut (((j (h (e12))) = (j (h (e12))))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 277.60/277.83 cut (((j (h (e12))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L177_); trivial. % 277.60/277.83 apply zenon_H12. apply refl_equal. % 277.60/277.83 apply zenon_H12. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H12. apply refl_equal. % 277.60/277.83 apply zenon_H12. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L247_ *) % 277.60/277.83 assert (zenon_L248_ : (((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). % 277.60/277.83 do 0 intro. intros zenon_Hcd zenon_Hb zenon_H15 zenon_H15c zenon_H4d zenon_H28 zenon_Hc zenon_H133 zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.83 apply (zenon_L247_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.83 apply (zenon_L214_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.83 apply (zenon_L236_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.83 apply (zenon_L185_); trivial. % 277.60/277.83 apply (zenon_L178_); trivial. % 277.60/277.83 (* end of lemma zenon_L248_ *) % 277.60/277.83 assert (zenon_L249_ : ((j (h (e11))) = (e11)) -> ((h (e11)) = (e20)) -> ((j (e20)) = (e12)) -> (~((e11) = (e12))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H4d zenon_H4b zenon_H1e zenon_H15. % 277.60/277.83 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.83 cut (((e12) = (e12)) = ((e11) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H15. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1f. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H144]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e11))) = (e11)) = ((e12) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H144. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H4d. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.83 cut (((e12) = (e12)) = ((j (h (e11))) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H145. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1f. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((e12) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H146]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.83 cut (((j (h (e11))) = (j (h (e11)))) = ((e12) = (j (h (e11))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H146. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H51. % 277.60/277.83 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.83 cut (((j (h (e11))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e20)) = (e12)) = ((j (h (e11))) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H145. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1e. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((j (e20)) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e11))) = (j (h (e11))))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 277.60/277.83 cut (((j (h (e11))) = (j (h (e11)))) = ((j (e20)) = (j (h (e11))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H53. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H51. % 277.60/277.83 cut (((j (h (e11))) = (j (h (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 277.60/277.83 cut (((j (h (e11))) = (j (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L19_); trivial. % 277.60/277.83 apply zenon_H52. apply refl_equal. % 277.60/277.83 apply zenon_H52. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_H52. apply refl_equal. % 277.60/277.83 apply zenon_H52. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L249_ *) % 277.60/277.83 assert (zenon_L250_ : (((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). % 277.60/277.83 do 0 intro. intros zenon_H34 zenon_Hb zenon_H15 zenon_H4b zenon_H4d zenon_H28 zenon_Hc zenon_H7 zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.83 apply (zenon_L4_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.83 apply (zenon_L6_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.83 apply (zenon_L249_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.83 apply (zenon_L10_); trivial. % 277.60/277.83 apply (zenon_L12_); trivial. % 277.60/277.83 (* end of lemma zenon_L250_ *) % 277.60/277.83 assert (zenon_L251_ : (~((j (h (e10))) = (j (e21)))) -> ((h (e10)) = (e21)) -> False). % 277.60/277.83 do 0 intro. intros zenon_H16a zenon_H16b. % 277.60/277.83 cut (((h (e10)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H16c]. % 277.60/277.83 congruence. % 277.60/277.83 exact (zenon_H16c zenon_H16b). % 277.60/277.83 (* end of lemma zenon_L251_ *) % 277.60/277.83 assert (zenon_L252_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> ((j (e21)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H16b zenon_H59 zenon_H98. % 277.60/277.83 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.83 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H98. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H18. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e11) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H99. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.83 cut (((e11) = (e11)) = ((j (h (e10))) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16d. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H18. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((e11) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H16e]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e11) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16e. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e21)) = (e11)) = ((j (h (e10))) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16d. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H59. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((j (e21)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e21)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16f. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L251_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L252_ *) % 277.60/277.83 assert (zenon_L253_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> ((j (e21)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H16b zenon_H5a zenon_Hb. % 277.60/277.83 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.83 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hb. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1f. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e12) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H20. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.83 cut (((e12) = (e12)) = ((j (h (e10))) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H21. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1f. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((e12) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e12) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H22. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e21)) = (e12)) = ((j (h (e10))) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H21. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H5a. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((j (e21)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e21)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16f. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L251_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L253_ *) % 277.60/277.83 assert (zenon_L254_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> ((h (e10)) = (e21)) -> ((j (h (e10))) = (e10)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H98 zenon_Hb zenon_H16b zenon_H1d zenon_H28 zenon_Hc zenon_H5d zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L53_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L252_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L253_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L51_); trivial. % 277.60/277.83 apply (zenon_L28_); trivial. % 277.60/277.83 (* end of lemma zenon_L254_ *) % 277.60/277.83 assert (zenon_L255_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> ((j (e21)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H16b zenon_H5b zenon_Hd2. % 277.60/277.83 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.83 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hd2. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H29. % 277.60/277.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.83 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e13) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hd3. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.83 cut (((e13) = (e13)) = ((j (h (e10))) = (e13))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hf9. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H29. % 277.60/277.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.83 cut (((e13) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e13) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hfa. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e21)) = (e13)) = ((j (h (e10))) = (e13))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hf9. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H5b. % 277.60/277.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.83 cut (((j (e21)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e21)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16f. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L251_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L255_ *) % 277.60/277.83 assert (zenon_L256_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> ((j (e21)) = (e14)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H16b zenon_H5f zenon_H3b. % 277.60/277.83 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.83 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H3b. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H30. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e14) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H84. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.83 cut (((e14) = (e14)) = ((j (h (e10))) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H115. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H30. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((e14) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e14) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H116. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e21)) = (e14)) = ((j (h (e10))) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H115. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H5f. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((j (e21)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e21)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16f. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L251_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L256_ *) % 277.60/277.83 assert (zenon_L257_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e12) = (e14))) -> ((h (e12)) = (e22)) -> ((j (h (e12))) = (e12)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e11) = (e12))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H2f zenon_Hd7 zenon_Hc zenon_H79 zenon_H74 zenon_H73 zenon_H6e zenon_H15 zenon_H7f zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H16b zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L99_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L252_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L253_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L255_); trivial. % 277.60/277.83 apply (zenon_L256_); trivial. % 277.60/277.83 (* end of lemma zenon_L257_ *) % 277.60/277.83 assert (zenon_L258_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((h (e13)) = (e21)) -> ((j (h (e13))) = (e13)) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H103 zenon_Hee zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H16b zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L132_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L252_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L253_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L255_); trivial. % 277.60/277.83 apply (zenon_L256_); trivial. % 277.60/277.83 (* end of lemma zenon_L258_ *) % 277.60/277.83 assert (zenon_L259_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e13) = (e14))) -> ((h (e13)) = (e22)) -> ((j (h (e13))) = (e13)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H47 zenon_H118 zenon_Hee zenon_H79 zenon_H74 zenon_H73 zenon_H6e zenon_H28 zenon_Hf4 zenon_H7f zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H16b zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L153_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L252_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L253_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L255_); trivial. % 277.60/277.83 apply (zenon_L256_); trivial. % 277.60/277.83 (* end of lemma zenon_L259_ *) % 277.60/277.83 assert (zenon_L260_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e21)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H42 zenon_H2f zenon_H55 zenon_H3c zenon_H47 zenon_H1d zenon_H16b zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L23_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L24_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L25_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L26_); trivial. % 277.60/277.83 apply (zenon_L256_); trivial. % 277.60/277.83 (* end of lemma zenon_L260_ *) % 277.60/277.83 assert (zenon_L261_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((op2 (e21) (e21)) = (e22)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) -> (~((e13) = (e14))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e22)) -> (~((e12) = (e14))) -> (~((e11) = (e14))) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e21)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H6e zenon_H73 zenon_H74 zenon_H79 zenon_H47 zenon_H3c zenon_H66 zenon_H2f zenon_H42 zenon_H7f zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H16b zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L39_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L252_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L253_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L255_); trivial. % 277.60/277.83 apply (zenon_L256_); trivial. % 277.60/277.83 (* end of lemma zenon_L261_ *) % 277.60/277.83 assert (zenon_L262_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> ((h (e13)) = (e20)) -> ((j (h (e13))) = (e13)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> (~((e12) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H34 zenon_Hd2 zenon_Hf4 zenon_Hec zenon_Hee zenon_H28 zenon_Hc zenon_H7 zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.83 apply (zenon_L118_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.83 apply (zenon_L119_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.83 apply (zenon_L120_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.83 apply (zenon_L10_); trivial. % 277.60/277.83 apply (zenon_L12_); trivial. % 277.60/277.83 (* end of lemma zenon_L262_ *) % 277.60/277.83 assert (zenon_L263_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e14)) = (e20)) -> ((j (h (e14))) = (e14)) -> (~((e11) = (e14))) -> ((h (e11)) = (e23)) -> ((j (h (e11))) = (e11)) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> ((j (op2 (e23) (e20))) = (op1 (j (e23)) (j (e20)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> ((op2 (e23) (e20)) = (e23)) -> (~((e10) = (e11))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e20)) -> (~((e12) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H34 zenon_H3b zenon_H39 zenon_H3c zenon_H42 zenon_H14c zenon_H4d zenon_Hf4 zenon_H15 zenon_H156 zenon_H74 zenon_H149 zenon_H157 zenon_H98 zenon_Hb4 zenon_Hc zenon_H7 zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.83 apply (zenon_L15_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.83 apply (zenon_L16_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.83 apply (zenon_L17_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.83 apply (zenon_L223_); trivial. % 277.60/277.83 apply (zenon_L12_); trivial. % 277.60/277.83 (* end of lemma zenon_L263_ *) % 277.60/277.83 assert (zenon_L264_ : (((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). % 277.60/277.83 do 0 intro. intros zenon_H34 zenon_H3b zenon_H42 zenon_H39 zenon_H3c zenon_H47 zenon_Hc zenon_H7 zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.83 apply (zenon_L15_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.83 apply (zenon_L16_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.83 apply (zenon_L17_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.83 apply (zenon_L18_); trivial. % 277.60/277.83 apply (zenon_L12_); trivial. % 277.60/277.83 (* end of lemma zenon_L264_ *) % 277.60/277.83 assert (zenon_L265_ : (~((j (h (e10))) = (j (e22)))) -> ((h (e10)) = (e22)) -> False). % 277.60/277.83 do 0 intro. intros zenon_H170 zenon_H171. % 277.60/277.83 cut (((h (e10)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H172]. % 277.60/277.83 congruence. % 277.60/277.83 exact (zenon_H172 zenon_H171). % 277.60/277.83 (* end of lemma zenon_L265_ *) % 277.60/277.83 assert (zenon_L266_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> ((j (e22)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H171 zenon_H6a zenon_H98. % 277.60/277.83 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.83 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H98. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H18. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e11) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H99. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.83 cut (((e11) = (e11)) = ((j (h (e10))) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16d. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H18. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((e11) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H16e]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e11) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16e. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e22)) = (e11)) = ((j (h (e10))) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16d. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H6a. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((j (e22)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e22)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H173. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H170]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L265_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L266_ *) % 277.60/277.83 assert (zenon_L267_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> ((j (e22)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H171 zenon_H6b zenon_Hb. % 277.60/277.83 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.83 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hb. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1f. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e12) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H20. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.83 cut (((e12) = (e12)) = ((j (h (e10))) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H21. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1f. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((e12) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e12) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H22. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e22)) = (e12)) = ((j (h (e10))) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H21. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H6b. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((j (e22)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e22)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H173. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H170]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L265_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L267_ *) % 277.60/277.83 assert (zenon_L268_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> ((j (e22)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H171 zenon_H6c zenon_Hd2. % 277.60/277.83 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.83 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hd2. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H29. % 277.60/277.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.83 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e13) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hd3. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.83 cut (((e13) = (e13)) = ((j (h (e10))) = (e13))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hf9. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H29. % 277.60/277.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.83 cut (((e13) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e13) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hfa. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e22)) = (e13)) = ((j (h (e10))) = (e13))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hf9. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H6c. % 277.60/277.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.83 cut (((j (e22)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e22)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H173. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H170]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L265_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L268_ *) % 277.60/277.83 assert (zenon_L269_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> ((j (e22)) = (e14)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H171 zenon_H83 zenon_H3b. % 277.60/277.83 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.83 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H3b. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H30. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e14) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H84. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.83 cut (((e14) = (e14)) = ((j (h (e10))) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H115. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H30. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((e14) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e14) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H116. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e22)) = (e14)) = ((j (h (e10))) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H115. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H83. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((j (e22)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e22)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H173. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e22)))); [idtac | apply NNPP; zenon_intro zenon_H170]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L265_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L269_ *) % 277.60/277.83 assert (zenon_L270_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((j (e21)) = (e11)) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H7f zenon_H59 zenon_H8a zenon_H73 zenon_H74 zenon_H92 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H171 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L44_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_L266_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L267_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_L268_); trivial. % 277.60/277.83 apply (zenon_L269_); trivial. % 277.60/277.83 (* end of lemma zenon_L270_ *) % 277.60/277.83 assert (zenon_L271_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((j (e21)) = (e12)) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H7f zenon_H5a zenon_H8a zenon_H73 zenon_H74 zenon_H92 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H171 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L154_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_L266_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L267_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_L268_); trivial. % 277.60/277.83 apply (zenon_L269_); trivial. % 277.60/277.83 (* end of lemma zenon_L271_ *) % 277.60/277.83 assert (zenon_L272_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e22)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e22) (e22)) = (e21)) -> (((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). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H3b zenon_H171 zenon_H1d zenon_Hd2 zenon_Hb zenon_H98 zenon_H92 zenon_H74 zenon_H73 zenon_H8a zenon_H7f zenon_H28 zenon_Hc zenon_H5d zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L53_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L270_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L271_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L51_); trivial. % 277.60/277.83 apply (zenon_L28_); trivial. % 277.60/277.83 (* end of lemma zenon_L272_ *) % 277.60/277.83 assert (zenon_L273_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((h (e10)) = (e22)) -> ((j (h (e10))) = (e10)) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e22)) -> (~((e12) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H7f zenon_H15 zenon_Hb zenon_H171 zenon_H1d zenon_H28 zenon_Hc zenon_Hd7 zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L97_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_L92_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L267_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_L110_); trivial. % 277.60/277.83 apply (zenon_L93_); trivial. % 277.60/277.83 (* end of lemma zenon_L273_ *) % 277.60/277.83 assert (zenon_L274_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((j (e21)) = (e13)) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H7f zenon_H5b zenon_H8a zenon_H73 zenon_H74 zenon_H92 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H171 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L125_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_L266_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L267_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_L268_); trivial. % 277.60/277.83 apply (zenon_L269_); trivial. % 277.60/277.83 (* end of lemma zenon_L274_ *) % 277.60/277.83 assert (zenon_L275_ : (((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). % 277.60/277.83 do 0 intro. intros zenon_H7f zenon_Hf4 zenon_H28 zenon_Hd2 zenon_H171 zenon_H1d zenon_Hee zenon_H118 zenon_H47. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L149_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_L150_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L151_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_L268_); trivial. % 277.60/277.83 apply (zenon_L152_); trivial. % 277.60/277.83 (* end of lemma zenon_L275_ *) % 277.60/277.83 assert (zenon_L276_ : (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((j (e21)) = (e14)) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H7f zenon_H5f zenon_H8a zenon_H73 zenon_H74 zenon_H92 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H171 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L83_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_L266_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L267_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_L268_); trivial. % 277.60/277.83 apply (zenon_L269_); trivial. % 277.60/277.83 (* end of lemma zenon_L276_ *) % 277.60/277.83 assert (zenon_L277_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (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)))))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H42 zenon_H2f zenon_H55 zenon_H3c zenon_H47 zenon_H7f zenon_H8a zenon_H73 zenon_H74 zenon_H92 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H171 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L23_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L24_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L25_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L26_); trivial. % 277.60/277.83 apply (zenon_L276_); trivial. % 277.60/277.83 (* end of lemma zenon_L277_ *) % 277.60/277.83 assert (zenon_L278_ : (((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). % 277.60/277.83 do 0 intro. intros zenon_H7f zenon_H42 zenon_H2f zenon_H66 zenon_H3c zenon_H47 zenon_H1d zenon_H171 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L31_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_L32_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L33_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_L34_); trivial. % 277.60/277.83 apply (zenon_L269_); trivial. % 277.60/277.83 (* end of lemma zenon_L278_ *) % 277.60/277.83 assert (zenon_L279_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((h (e13)) = (e21)) -> ((j (h (e13))) = (e13)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e12) = (e14))) -> ((h (e14)) = (e23)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> ((op1 (e13) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e23)) -> (((j (e22)) = (e10))\/(((j (e22)) = (e11))\/(((j (e22)) = (e12))\/(((j (e22)) = (e13))\/((j (e22)) = (e14)))))) -> ((op2 (e22) (e22)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e22)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H103 zenon_Hee zenon_Hb4 zenon_H2f zenon_Hac zenon_H3c zenon_H47 zenon_He2 zenon_Hde zenon_He3 zenon_H7f zenon_H8a zenon_H73 zenon_H74 zenon_H92 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H171 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L132_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L270_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L271_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L125_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_L266_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L109_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_L268_); trivial. % 277.60/277.83 apply (zenon_L269_); trivial. % 277.60/277.83 apply (zenon_L276_); trivial. % 277.60/277.83 (* end of lemma zenon_L279_ *) % 277.60/277.83 assert (zenon_L280_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e12) = (e13))) -> (~((e10) = (e14))) -> ((h (e10)) = (e22)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e10) = (e11))) -> ((op2 (e21) (e22)) = (e23)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e23)) -> (~((e11) = (e14))) -> ((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e22) (e22)) = (e21)) -> (((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). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H28 zenon_H3b zenon_H171 zenon_H1d zenon_Hd2 zenon_Hb4 zenon_H98 zenon_He3 zenon_Hde zenon_H74 zenon_He2 zenon_H15 zenon_Hf4 zenon_H4d zenon_H14c zenon_H42 zenon_H92 zenon_H73 zenon_H8a zenon_H7f zenon_Hee zenon_H103 zenon_H47. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L132_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L190_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L133_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L125_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_L266_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L228_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_L268_); trivial. % 277.60/277.83 apply (zenon_L269_); trivial. % 277.60/277.83 apply (zenon_L144_); trivial. % 277.60/277.83 (* end of lemma zenon_L280_ *) % 277.60/277.83 assert (zenon_L281_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e10) = (e14))) -> (~((e11) = (e13))) -> (~((e12) = (e14))) -> ((h (e14)) = (e20)) -> ((j (h (e14))) = (e14)) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> (~((e13) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H34 zenon_H3b zenon_Hf4 zenon_H2f zenon_H39 zenon_H3c zenon_Hee zenon_Hec zenon_H47. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.83 apply (zenon_L15_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.83 apply (zenon_L119_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.83 apply (zenon_L17_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.83 apply (zenon_L18_); trivial. % 277.60/277.83 apply (zenon_L122_); trivial. % 277.60/277.83 (* end of lemma zenon_L281_ *) % 277.60/277.83 assert (zenon_L282_ : ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((j (e24)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e24) (e24)) = (e21)) -> ((j (e21)) = (e14)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_Hc2 zenon_Hbc zenon_H74 zenon_H73 zenon_Hb9 zenon_H5f zenon_H3b. % 277.60/277.83 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.83 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H3b. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H30. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((op1 (e14) (e14)) = (e10)) = ((e14) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H84. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H74. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.83 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H85. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H30. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.83 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H86. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H87. % 277.60/277.83 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.83 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e21)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H85. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H5f. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.83 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H96. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H87. % 277.60/277.83 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.83 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L72_); trivial. % 277.60/277.83 apply zenon_H88. apply refl_equal. % 277.60/277.83 apply zenon_H88. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H88. apply refl_equal. % 277.60/277.83 apply zenon_H88. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L282_ *) % 277.60/277.83 assert (zenon_L283_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> ((j (e21)) = (e14)) -> ((op2 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e10) = (e11))) -> ((op2 (e24) (e20)) = (e24)) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e20)) = (e13)) -> ((j (op2 (e24) (e20))) = (op1 (j (e24)) (j (e20)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> (~((e11) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_Hcd zenon_H3b zenon_H5f zenon_Hb9 zenon_H73 zenon_Hc2 zenon_H98 zenon_H166 zenon_H149 zenon_H74 zenon_H27 zenon_H165 zenon_H15 zenon_Hf4 zenon_H4d zenon_H15c zenon_H42. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.83 apply (zenon_L282_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.83 apply (zenon_L235_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.83 apply (zenon_L236_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.83 apply (zenon_L237_); trivial. % 277.60/277.83 apply (zenon_L238_); trivial. % 277.60/277.83 (* end of lemma zenon_L283_ *) % 277.60/277.83 assert (zenon_L284_ : (((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 (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e10) = (e14))) -> ((op2 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e10) = (e11))) -> ((op2 (e24) (e20)) = (e24)) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (e20)) = (e13)) -> ((j (op2 (e24) (e20))) = (op1 (j (e24)) (j (e20)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> ((j (h (e11))) = (e11)) -> ((h (e11)) = (e24)) -> (~((e11) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H2f zenon_H55 zenon_H3c zenon_H47 zenon_Hcd zenon_H3b zenon_Hb9 zenon_H73 zenon_Hc2 zenon_H98 zenon_H166 zenon_H149 zenon_H74 zenon_H27 zenon_H165 zenon_H15 zenon_Hf4 zenon_H4d zenon_H15c zenon_H42. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L23_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L24_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L25_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L26_); trivial. % 277.60/277.83 apply (zenon_L283_); trivial. % 277.60/277.83 (* end of lemma zenon_L284_ *) % 277.60/277.83 assert (zenon_L285_ : (~((j (h (e10))) = (j (e23)))) -> ((h (e10)) = (e23)) -> False). % 277.60/277.83 do 0 intro. intros zenon_H174 zenon_H175. % 277.60/277.83 cut (((h (e10)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H176]. % 277.60/277.83 congruence. % 277.60/277.83 exact (zenon_H176 zenon_H175). % 277.60/277.83 (* end of lemma zenon_L285_ *) % 277.60/277.83 assert (zenon_L286_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> ((j (e23)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H175 zenon_Hae zenon_H98. % 277.60/277.83 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.83 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H98. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H18. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e11) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H99. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.83 cut (((e11) = (e11)) = ((j (h (e10))) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16d. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H18. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((e11) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H16e]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e11) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16e. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e23)) = (e11)) = ((j (h (e10))) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16d. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_Hae. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((j (e23)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H177]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e23)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H177. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L285_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L286_ *) % 277.60/277.83 assert (zenon_L287_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> ((j (e23)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H175 zenon_Hb0 zenon_Hb. % 277.60/277.83 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.83 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hb. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1f. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e12) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H20. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.83 cut (((e12) = (e12)) = ((j (h (e10))) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H21. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1f. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((e12) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e12) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H22. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e23)) = (e12)) = ((j (h (e10))) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H21. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_Hb0. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((j (e23)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H177]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e23)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H177. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L285_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L287_ *) % 277.60/277.83 assert (zenon_L288_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> ((j (e23)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H175 zenon_Hb1 zenon_Hd2. % 277.60/277.83 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.83 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hd2. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H29. % 277.60/277.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.83 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e13) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hd3. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.83 cut (((e13) = (e13)) = ((j (h (e10))) = (e13))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hf9. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H29. % 277.60/277.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.83 cut (((e13) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e13) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hfa. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e23)) = (e13)) = ((j (h (e10))) = (e13))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hf9. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_Hb1. % 277.60/277.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.83 cut (((j (e23)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H177]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e23)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H177. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L285_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L288_ *) % 277.60/277.83 assert (zenon_L289_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> ((j (e23)) = (e14)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H175 zenon_Hb2 zenon_H3b. % 277.60/277.83 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.83 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H3b. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H30. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e14) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H84. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.83 cut (((e14) = (e14)) = ((j (h (e10))) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H115. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H30. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((e14) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e14) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H116. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e23)) = (e14)) = ((j (h (e10))) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H115. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_Hb2. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((j (e23)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H177]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e23)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H177. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e23)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L285_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L289_ *) % 277.60/277.83 assert (zenon_L290_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (e21)) = (e11)) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_Hb4 zenon_H59 zenon_Ha0 zenon_H73 zenon_H74 zenon_Ha9 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H175 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.83 apply (zenon_L100_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.83 apply (zenon_L286_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.83 apply (zenon_L287_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.83 apply (zenon_L288_); trivial. % 277.60/277.83 apply (zenon_L289_); trivial. % 277.60/277.83 (* end of lemma zenon_L290_ *) % 277.60/277.83 assert (zenon_L291_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (e21)) = (e12)) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_Hb4 zenon_H5a zenon_Ha0 zenon_H73 zenon_H74 zenon_Ha9 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H175 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.83 apply (zenon_L59_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.83 apply (zenon_L286_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.83 apply (zenon_L287_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.83 apply (zenon_L288_); trivial. % 277.60/277.83 apply (zenon_L289_); trivial. % 277.60/277.83 (* end of lemma zenon_L291_ *) % 277.60/277.83 assert (zenon_L292_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e23)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e23) (e23)) = (e21)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H3b zenon_H175 zenon_H1d zenon_Hd2 zenon_Hb zenon_H98 zenon_Ha9 zenon_H74 zenon_H73 zenon_Ha0 zenon_Hb4 zenon_H28 zenon_Hc zenon_H5d zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L53_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L290_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L291_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L51_); trivial. % 277.60/277.83 apply (zenon_L28_); trivial. % 277.60/277.83 (* end of lemma zenon_L292_ *) % 277.60/277.83 assert (zenon_L293_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (e21)) = (e13)) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_Hb4 zenon_H5b zenon_Ha0 zenon_H73 zenon_H74 zenon_Ha9 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H175 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.83 apply (zenon_L113_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.83 apply (zenon_L286_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.83 apply (zenon_L287_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.83 apply (zenon_L288_); trivial. % 277.60/277.83 apply (zenon_L289_); trivial. % 277.60/277.83 (* end of lemma zenon_L293_ *) % 277.60/277.83 assert (zenon_L294_ : ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((j (e23)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e23) (e23)) = (e21)) -> ((j (e21)) = (e14)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_Ha9 zenon_Ha3 zenon_H74 zenon_H73 zenon_Ha0 zenon_H5f zenon_H3b. % 277.60/277.83 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.83 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H3b. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H30. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((op1 (e14) (e14)) = (e10)) = ((e14) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H84. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H74. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.83 cut (((e14) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H85. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H30. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((e14) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.83 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((e14) = (op1 (e14) (e14)))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H86. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H87. % 277.60/277.83 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.83 cut (((op1 (e14) (e14)) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e21)) = (e14)) = ((op1 (e14) (e14)) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H85. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H5f. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((j (e21)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((op1 (e14) (e14)) = (op1 (e14) (e14)))); [ zenon_intro zenon_H87 | zenon_intro zenon_H88 ]. % 277.60/277.83 cut (((op1 (e14) (e14)) = (op1 (e14) (e14))) = ((j (e21)) = (op1 (e14) (e14)))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H96. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H87. % 277.60/277.83 cut (((op1 (e14) (e14)) = (op1 (e14) (e14)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 277.60/277.83 cut (((op1 (e14) (e14)) = (j (e21)))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L58_); trivial. % 277.60/277.83 apply zenon_H88. apply refl_equal. % 277.60/277.83 apply zenon_H88. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H88. apply refl_equal. % 277.60/277.83 apply zenon_H88. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L294_ *) % 277.60/277.83 assert (zenon_L295_ : (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (e21)) = (e14)) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_Hb4 zenon_H5f zenon_Ha0 zenon_H73 zenon_H74 zenon_Ha9 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H175 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.83 apply (zenon_L294_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.83 apply (zenon_L286_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.83 apply (zenon_L287_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.83 apply (zenon_L288_); trivial. % 277.60/277.83 apply (zenon_L289_); trivial. % 277.60/277.83 (* end of lemma zenon_L295_ *) % 277.60/277.83 assert (zenon_L296_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((h (e13)) = (e21)) -> ((j (h (e13))) = (e13)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H103 zenon_Hee zenon_Hb4 zenon_Ha0 zenon_H73 zenon_H74 zenon_Ha9 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H175 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L132_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L290_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L291_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L293_); trivial. % 277.60/277.83 apply (zenon_L295_); trivial. % 277.60/277.83 (* end of lemma zenon_L296_ *) % 277.60/277.83 assert (zenon_L297_ : (((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). % 277.60/277.83 do 0 intro. intros zenon_Hb4 zenon_Hf4 zenon_H28 zenon_Hd2 zenon_H175 zenon_H1d zenon_Hee zenon_H128 zenon_H47. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.83 apply (zenon_L165_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.83 apply (zenon_L166_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.83 apply (zenon_L167_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.83 apply (zenon_L288_); trivial. % 277.60/277.83 apply (zenon_L168_); trivial. % 277.60/277.83 (* end of lemma zenon_L297_ *) % 277.60/277.83 assert (zenon_L298_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e21)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e23)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H42 zenon_H2f zenon_H55 zenon_H3c zenon_H47 zenon_Hb4 zenon_Ha0 zenon_H73 zenon_H74 zenon_Ha9 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H175 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L23_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L24_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L25_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L26_); trivial. % 277.60/277.83 apply (zenon_L295_); trivial. % 277.60/277.83 (* end of lemma zenon_L298_ *) % 277.60/277.83 assert (zenon_L299_ : (((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). % 277.60/277.83 do 0 intro. intros zenon_Hb4 zenon_H42 zenon_H2f zenon_Hac zenon_H3c zenon_H47 zenon_H1d zenon_H175 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.83 apply (zenon_L103_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.83 apply (zenon_L61_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.83 apply (zenon_L62_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.83 apply (zenon_L63_); trivial. % 277.60/277.83 apply (zenon_L289_); trivial. % 277.60/277.83 (* end of lemma zenon_L299_ *) % 277.60/277.83 assert (zenon_L300_ : (((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). % 277.60/277.83 do 0 intro. intros zenon_Hb4 zenon_H15 zenon_Hb zenon_H175 zenon_H1d zenon_H28 zenon_Hc zenon_Hff zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.83 apply (zenon_L207_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.83 apply (zenon_L134_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.83 apply (zenon_L287_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.83 apply (zenon_L141_); trivial. % 277.60/277.83 apply (zenon_L129_); trivial. % 277.60/277.83 (* end of lemma zenon_L300_ *) % 277.60/277.83 assert (zenon_L301_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e10) = (e14))) -> ((h (e10)) = (e23)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> ((j (op2 (e23) (e20))) = (op1 (j (e23)) (j (e20)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> ((op2 (e23) (e20)) = (e23)) -> (~((e10) = (e11))) -> ((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e23) (e23)) = (e21)) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e21)) -> (~((e12) = (e14))) -> (~((e11) = (e14))) -> (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> (~((e13) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H34 zenon_Hf4 zenon_H28 zenon_H3b zenon_H175 zenon_H1d zenon_Hd2 zenon_Hb zenon_H156 zenon_H74 zenon_H149 zenon_H157 zenon_H98 zenon_Ha9 zenon_H73 zenon_Ha0 zenon_Hb4 zenon_H3c zenon_H55 zenon_H2f zenon_H42 zenon_H61 zenon_Hee zenon_Hec zenon_H47. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.83 apply (zenon_L118_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.83 apply (zenon_L119_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.83 apply (zenon_L120_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L23_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L24_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L25_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L26_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.83 apply (zenon_L294_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.83 apply (zenon_L219_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.83 apply (zenon_L287_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.83 apply (zenon_L288_); trivial. % 277.60/277.83 apply (zenon_L289_); trivial. % 277.60/277.83 apply (zenon_L122_); trivial. % 277.60/277.83 (* end of lemma zenon_L301_ *) % 277.60/277.83 assert (zenon_L302_ : (((j (e20)) = (e10))\/(((j (e20)) = (e11))\/(((j (e20)) = (e12))\/(((j (e20)) = (e13))\/((j (e20)) = (e14)))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e10) = (e14))) -> ((h (e10)) = (e23)) -> ((j (h (e10))) = (e10)) -> ((j (h (e14))) = (e14)) -> ((h (e14)) = (e23)) -> (~((e12) = (e14))) -> ((j (op2 (e23) (e20))) = (op1 (j (e23)) (j (e20)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> ((op2 (e23) (e20)) = (e23)) -> (~((e10) = (e11))) -> (((j (e23)) = (e10))\/(((j (e23)) = (e11))\/(((j (e23)) = (e12))\/(((j (e23)) = (e13))\/((j (e23)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e20)) -> (~((e13) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H34 zenon_Hd2 zenon_Hf4 zenon_H28 zenon_H3b zenon_H175 zenon_H1d zenon_H3c zenon_Hac zenon_H2f zenon_H156 zenon_H74 zenon_H149 zenon_H157 zenon_H98 zenon_Hb4 zenon_Hee zenon_Hec zenon_H47. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.83 apply (zenon_L118_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.83 apply (zenon_L119_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.83 apply (zenon_L120_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.83 apply (zenon_L103_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.83 apply (zenon_L219_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.83 apply (zenon_L62_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.83 apply (zenon_L63_); trivial. % 277.60/277.83 apply (zenon_L289_); trivial. % 277.60/277.83 apply (zenon_L122_); trivial. % 277.60/277.83 (* end of lemma zenon_L302_ *) % 277.60/277.83 assert (zenon_L303_ : (~((j (h (e10))) = (j (e24)))) -> ((h (e10)) = (e24)) -> False). % 277.60/277.83 do 0 intro. intros zenon_H178 zenon_H179. % 277.60/277.83 cut (((h (e10)) = (e24))); [idtac | apply NNPP; zenon_intro zenon_H17a]. % 277.60/277.83 congruence. % 277.60/277.83 exact (zenon_H17a zenon_H179). % 277.60/277.83 (* end of lemma zenon_L303_ *) % 277.60/277.83 assert (zenon_L304_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> ((j (e24)) = (e11)) -> (~((e10) = (e11))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H179 zenon_Hc7 zenon_H98. % 277.60/277.83 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.83 cut (((e11) = (e11)) = ((e10) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H98. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H18. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e11) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H99. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H18 | zenon_intro zenon_H14 ]. % 277.60/277.83 cut (((e11) = (e11)) = ((j (h (e10))) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16d. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H18. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((e11) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H16e]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e11) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16e. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e24)) = (e11)) = ((j (h (e10))) = (e11))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H16d. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_Hc7. % 277.60/277.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 277.60/277.83 cut (((j (e24)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H17b]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e24)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H17b. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L303_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 apply zenon_H14. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L304_ *) % 277.60/277.83 assert (zenon_L305_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> ((j (e24)) = (e12)) -> (~((e10) = (e12))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H179 zenon_Hc9 zenon_Hb. % 277.60/277.83 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.83 cut (((e12) = (e12)) = ((e10) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hb. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1f. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H20]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e12) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H20. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha ]. % 277.60/277.83 cut (((e12) = (e12)) = ((j (h (e10))) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H21. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1f. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((e12) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e12) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H22. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e24)) = (e12)) = ((j (h (e10))) = (e12))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H21. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_Hc9. % 277.60/277.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 277.60/277.83 cut (((j (e24)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H17b]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e24)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H17b. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L303_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 apply zenon_Ha. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L305_ *) % 277.60/277.83 assert (zenon_L306_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> ((j (e24)) = (e13)) -> (~((e10) = (e13))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H179 zenon_Hca zenon_Hd2. % 277.60/277.83 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.83 cut (((e13) = (e13)) = ((e10) = (e13))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hd2. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H29. % 277.60/277.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.83 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e13) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hd3. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H29 | zenon_intro zenon_H26 ]. % 277.60/277.83 cut (((e13) = (e13)) = ((j (h (e10))) = (e13))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hf9. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H29. % 277.60/277.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.83 cut (((e13) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e13) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hfa. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e24)) = (e13)) = ((j (h (e10))) = (e13))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_Hf9. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_Hca. % 277.60/277.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 277.60/277.83 cut (((j (e24)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H17b]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e24)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H17b. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L303_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 apply zenon_H26. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L306_ *) % 277.60/277.83 assert (zenon_L307_ : ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> ((j (e24)) = (e14)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H1d zenon_H179 zenon_Hcb zenon_H3b. % 277.60/277.83 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.83 cut (((e14) = (e14)) = ((e10) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H3b. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H30. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((e14) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (h (e10))) = (e10)) = ((e14) = (e10))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H84. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H1d. % 277.60/277.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 277.60/277.83 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((e14) = (e14))); [ zenon_intro zenon_H30 | zenon_intro zenon_H2d ]. % 277.60/277.83 cut (((e14) = (e14)) = ((j (h (e10))) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H115. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H30. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((e14) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((e14) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H116. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 277.60/277.83 congruence. % 277.60/277.83 cut (((j (e24)) = (e14)) = ((j (h (e10))) = (e14))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H115. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_Hcb. % 277.60/277.83 cut (((e14) = (e14))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 277.60/277.83 cut (((j (e24)) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H17b]. % 277.60/277.83 congruence. % 277.60/277.83 elim (classic ((j (h (e10))) = (j (h (e10))))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10)))) = ((j (e24)) = (j (h (e10))))). % 277.60/277.83 intro zenon_D_pnotp. % 277.60/277.83 apply zenon_H17b. % 277.60/277.83 rewrite <- zenon_D_pnotp. % 277.60/277.83 exact zenon_H23. % 277.60/277.83 cut (((j (h (e10))) = (j (h (e10))))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 277.60/277.83 cut (((j (h (e10))) = (j (e24)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 277.60/277.83 congruence. % 277.60/277.83 apply (zenon_L303_); trivial. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H24. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H9. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 apply zenon_H2d. apply refl_equal. % 277.60/277.83 (* end of lemma zenon_L307_ *) % 277.60/277.83 assert (zenon_L308_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (e21)) = (e11)) -> ((op2 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_Hcd zenon_H59 zenon_Hb9 zenon_H73 zenon_H74 zenon_Hc2 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H179 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.83 apply (zenon_L73_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.83 apply (zenon_L304_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.83 apply (zenon_L305_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.83 apply (zenon_L306_); trivial. % 277.60/277.83 apply (zenon_L307_); trivial. % 277.60/277.83 (* end of lemma zenon_L308_ *) % 277.60/277.83 assert (zenon_L309_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (e21)) = (e12)) -> ((op2 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_Hcd zenon_H5a zenon_Hb9 zenon_H73 zenon_H74 zenon_Hc2 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H179 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.83 apply (zenon_L81_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.83 apply (zenon_L304_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.83 apply (zenon_L305_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.83 apply (zenon_L306_); trivial. % 277.60/277.83 apply (zenon_L307_); trivial. % 277.60/277.83 (* end of lemma zenon_L309_ *) % 277.60/277.83 assert (zenon_L310_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e10) = (e14))) -> ((h (e10)) = (e24)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e24) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> (~((e12) = (e13))) -> ((j (h (e12))) = (e12)) -> ((h (e12)) = (e21)) -> (~((e12) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H3b zenon_H179 zenon_H1d zenon_Hd2 zenon_Hb zenon_H98 zenon_Hc2 zenon_H74 zenon_H73 zenon_Hb9 zenon_Hcd zenon_H28 zenon_Hc zenon_H5d zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L53_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L308_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L309_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L51_); trivial. % 277.60/277.83 apply (zenon_L28_); trivial. % 277.60/277.83 (* end of lemma zenon_L310_ *) % 277.60/277.83 assert (zenon_L311_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (e21)) = (e13)) -> ((op2 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_Hcd zenon_H5b zenon_Hb9 zenon_H73 zenon_H74 zenon_Hc2 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H179 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.83 apply (zenon_L135_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.83 apply (zenon_L304_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.83 apply (zenon_L305_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.83 apply (zenon_L306_); trivial. % 277.60/277.83 apply (zenon_L307_); trivial. % 277.60/277.83 (* end of lemma zenon_L311_ *) % 277.60/277.83 assert (zenon_L312_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((e10) = (e14))) -> ((h (e10)) = (e24)) -> ((j (h (e10))) = (e10)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> ((op1 (e14) (e14)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e24) (e24)) = (e21)) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (h (e13))) = (e13)) -> ((h (e13)) = (e21)) -> (~((e13) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_Hf4 zenon_H28 zenon_H3b zenon_H179 zenon_H1d zenon_Hd2 zenon_Hb zenon_H98 zenon_Hc2 zenon_H74 zenon_H73 zenon_Hb9 zenon_Hcd zenon_Hee zenon_H103 zenon_H47. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L132_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L190_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L133_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L311_); trivial. % 277.60/277.83 apply (zenon_L144_); trivial. % 277.60/277.83 (* end of lemma zenon_L312_ *) % 277.60/277.83 assert (zenon_L313_ : (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((j (e21)) = (e14)) -> ((op2 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_Hcd zenon_H5f zenon_Hb9 zenon_H73 zenon_H74 zenon_Hc2 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H179 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.83 apply (zenon_L282_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.83 apply (zenon_L304_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.83 apply (zenon_L305_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.83 apply (zenon_L306_); trivial. % 277.60/277.83 apply (zenon_L307_); trivial. % 277.60/277.83 (* end of lemma zenon_L313_ *) % 277.60/277.83 assert (zenon_L314_ : (((j (e21)) = (e10))\/(((j (e21)) = (e11))\/(((j (e21)) = (e12))\/(((j (e21)) = (e13))\/((j (e21)) = (e14)))))) -> (~((e11) = (e14))) -> (~((e12) = (e14))) -> ((h (e14)) = (e21)) -> ((j (h (e14))) = (e14)) -> (~((e13) = (e14))) -> (((j (e24)) = (e10))\/(((j (e24)) = (e11))\/(((j (e24)) = (e12))\/(((j (e24)) = (e13))\/((j (e24)) = (e14)))))) -> ((op2 (e24) (e24)) = (e21)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e14) (e14)) = (e10)) -> ((j (op2 (e24) (e24))) = (op1 (j (e24)) (j (e24)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((j (h (e10))) = (e10)) -> ((h (e10)) = (e24)) -> (~((e10) = (e14))) -> False). % 277.60/277.83 do 0 intro. intros zenon_H61 zenon_H42 zenon_H2f zenon_H55 zenon_H3c zenon_H47 zenon_Hcd zenon_Hb9 zenon_H73 zenon_H74 zenon_Hc2 zenon_H98 zenon_Hb zenon_Hd2 zenon_H1d zenon_H179 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L23_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L24_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L25_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L26_); trivial. % 277.60/277.83 apply (zenon_L313_); trivial. % 277.60/277.83 (* end of lemma zenon_L314_ *) % 277.60/277.83 assert (zenon_L315_ : (((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). % 277.60/277.83 do 0 intro. intros zenon_Hcd zenon_H42 zenon_H2f zenon_Hc5 zenon_H3c zenon_H47 zenon_H1d zenon_H179 zenon_H3b. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.83 apply (zenon_L170_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.83 apply (zenon_L75_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.83 apply (zenon_L76_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.83 apply (zenon_L77_); trivial. % 277.60/277.83 apply (zenon_L307_); trivial. % 277.60/277.83 (* end of lemma zenon_L315_ *) % 277.60/277.83 assert (zenon_L316_ : (((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). % 277.60/277.83 do 0 intro. intros zenon_Hcd zenon_Hf4 zenon_H28 zenon_Hd2 zenon_H179 zenon_H1d zenon_Hee zenon_H12c zenon_H47. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.83 apply (zenon_L182_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.83 apply (zenon_L183_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.83 apply (zenon_L184_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.83 apply (zenon_L306_); trivial. % 277.60/277.83 apply (zenon_L172_); trivial. % 277.60/277.83 (* end of lemma zenon_L316_ *) % 277.60/277.83 assert (zenon_L317_ : (((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). % 277.60/277.83 do 0 intro. intros zenon_Hcd zenon_H15 zenon_Hb zenon_H179 zenon_H1d zenon_H28 zenon_Hc zenon_H133 zenon_H2f. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.83 apply (zenon_L247_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.83 apply (zenon_L214_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.83 apply (zenon_L305_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.83 apply (zenon_L185_); trivial. % 277.60/277.83 apply (zenon_L178_); trivial. % 277.60/277.83 (* end of lemma zenon_L317_ *) % 277.60/277.83 apply NNPP. intro zenon_G. % 277.60/277.83 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H98. zenon_intro zenon_H17c. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_Hb. zenon_intro zenon_H17d. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_Hd2. zenon_intro zenon_H17e. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H3b. zenon_intro zenon_H17f. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H15. zenon_intro zenon_H180. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_Hf4. zenon_intro zenon_H181. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H42. zenon_intro zenon_H182. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H28. zenon_intro zenon_H183. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H2f. zenon_intro zenon_H47. % 277.60/277.83 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H73. zenon_intro zenon_H184. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H186. zenon_intro zenon_H185. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H18a. zenon_intro zenon_H189. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18c. zenon_intro zenon_H18b. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H18e. zenon_intro zenon_H18d. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H190. zenon_intro zenon_H18f. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H192. zenon_intro zenon_H191. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H149. zenon_intro zenon_H193. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H195. zenon_intro zenon_H194. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Hde. zenon_intro zenon_H1a4. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H1a8. zenon_intro zenon_H1a7. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H1aa. zenon_intro zenon_H1a9. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H1ac. zenon_intro zenon_H1ab. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H1ae. zenon_intro zenon_H1ad. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H1af. zenon_intro zenon_H74. % 277.60/277.83 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H1b1. zenon_intro zenon_H1b0. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b3. zenon_intro zenon_H1b2. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H1b5. zenon_intro zenon_H1b4. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1b7. zenon_intro zenon_H1b6. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H1b9. zenon_intro zenon_H1b8. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1bb. zenon_intro zenon_H1ba. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H6e. zenon_intro zenon_H1bc. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_He3. zenon_intro zenon_H1bd. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H10d. zenon_intro zenon_H1be. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1c2. zenon_intro zenon_H1c1. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H11c. zenon_intro zenon_H1c3. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H8a. zenon_intro zenon_H1c4. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1c8. zenon_intro zenon_H1c7. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H157. zenon_intro zenon_H1c9. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1cb. zenon_intro zenon_H1ca. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H1cd. zenon_intro zenon_H1cc. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_Ha0. zenon_intro zenon_H1ce. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d0. zenon_intro zenon_H1cf. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H166. zenon_intro zenon_H1d1. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1d3. zenon_intro zenon_H1d2. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H1d5. zenon_intro zenon_H1d4. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_Hb9. % 277.60/277.83 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 277.60/277.83 apply zenon_H1d7. zenon_intro zenon_H1d9. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1db. zenon_intro zenon_H1da. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_H1dd. zenon_intro zenon_H1dc. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1df. zenon_intro zenon_H1de. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1e1. zenon_intro zenon_H1e0. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1e3. zenon_intro zenon_H1e2. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1e5. zenon_intro zenon_H1e4. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H1e7. zenon_intro zenon_H1e6. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1e9. zenon_intro zenon_H1e8. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H1eb. zenon_intro zenon_H1ea. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1ed. zenon_intro zenon_H1ec. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1ef. zenon_intro zenon_H1ee. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1f3. zenon_intro zenon_H1f2. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H201. zenon_intro zenon_H200. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H203. zenon_intro zenon_H202. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H205. zenon_intro zenon_H204. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H207. zenon_intro zenon_H206. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H209. zenon_intro zenon_H208. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H20d. zenon_intro zenon_H20c. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H20f. zenon_intro zenon_H20e. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H211. zenon_intro zenon_H210. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H213. zenon_intro zenon_H212. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H215. zenon_intro zenon_H214. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H217. zenon_intro zenon_H216. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H79. zenon_intro zenon_H218. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He2. zenon_intro zenon_H219. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H10c. zenon_intro zenon_H21a. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H125. zenon_intro zenon_H21f. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H92. zenon_intro zenon_H220. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H222. zenon_intro zenon_H221. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H224. zenon_intro zenon_H223. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H156. zenon_intro zenon_H225. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H227. zenon_intro zenon_H226. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H229. zenon_intro zenon_H228. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_Ha9. zenon_intro zenon_H22a. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22c. zenon_intro zenon_H22b. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H165. zenon_intro zenon_H22d. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H231. zenon_intro zenon_H230. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H233. zenon_intro zenon_H232. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Hc2. zenon_intro zenon_H234. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H236. zenon_intro zenon_H235. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H238. zenon_intro zenon_H237. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H23a. zenon_intro zenon_H239. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H23c. zenon_intro zenon_H23b. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H23e. zenon_intro zenon_H23d. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H1d. zenon_intro zenon_H23f. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H4d. zenon_intro zenon_H240. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_Hc. zenon_intro zenon_H241. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_Hee. zenon_intro zenon_H3c. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H243. zenon_intro zenon_H242. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H245. zenon_intro zenon_H244. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H247. zenon_intro zenon_H246. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H249. zenon_intro zenon_H248. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H13c. zenon_intro zenon_H24a. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H34. zenon_intro zenon_H24b. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H61. zenon_intro zenon_H24c. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H7f. zenon_intro zenon_H24d. % 277.60/277.83 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hb4. zenon_intro zenon_Hcd. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1b | zenon_intro zenon_H24e ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H4b | zenon_intro zenon_H24f ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.83 apply (zenon_L13_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L21_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L29_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L52_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L68_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L53_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L80_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L82_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L51_); trivial. % 277.60/277.83 apply (zenon_L90_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L21_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L95_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L96_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L112_); trivial. % 277.60/277.83 apply (zenon_L116_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.83 apply (zenon_L123_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L21_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L124_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L127_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L130_); trivial. % 277.60/277.83 apply (zenon_L145_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L124_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L127_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L130_); trivial. % 277.60/277.83 apply (zenon_L163_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.83 apply (zenon_L169_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L21_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L124_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L127_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L130_); trivial. % 277.60/277.83 apply (zenon_L173_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.83 apply (zenon_L175_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L124_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L127_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L132_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L102_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L67_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L176_); trivial. % 277.60/277.83 apply (zenon_L90_); trivial. % 277.60/277.83 apply (zenon_L179_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L21_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L124_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L180_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L153_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L102_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L67_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L176_); trivial. % 277.60/277.83 apply (zenon_L162_); trivial. % 277.60/277.83 apply (zenon_L179_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L124_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L127_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L181_); trivial. % 277.60/277.83 apply (zenon_L179_); trivial. % 277.60/277.83 apply (zenon_L186_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H136 | zenon_intro zenon_H256 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.83 apply (zenon_L13_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L29_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L52_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L188_); trivial. % 277.60/277.83 apply (zenon_L189_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.83 apply (zenon_L123_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L95_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L96_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L191_); trivial. % 277.60/277.83 apply (zenon_L116_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.83 apply (zenon_L192_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L193_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L127_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L181_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L187_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L80_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L82_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L194_); trivial. % 277.60/277.83 apply (zenon_L90_); trivial. % 277.60/277.83 apply (zenon_L195_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.83 apply (zenon_L123_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L193_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L127_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L188_); trivial. % 277.60/277.83 apply (zenon_L145_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L193_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L127_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L130_); trivial. % 277.60/277.83 apply (zenon_L163_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.83 apply (zenon_L169_); trivial. % 277.60/277.83 apply (zenon_L195_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L193_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L127_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L188_); trivial. % 277.60/277.83 apply (zenon_L179_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H141 | zenon_intro zenon_H257 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.83 apply (zenon_L13_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L29_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L52_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L202_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L53_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L54_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L82_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L51_); trivial. % 277.60/277.83 apply (zenon_L203_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.83 apply (zenon_L204_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.83 apply (zenon_L123_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L205_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L206_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L130_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L132_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L190_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L133_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L125_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.83 apply (zenon_L207_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.83 apply (zenon_L134_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.83 apply (zenon_L135_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.83 apply (zenon_L139_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.83 apply (zenon_L210_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.83 apply (zenon_L77_); trivial. % 277.60/277.83 apply (zenon_L140_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.83 apply (zenon_L141_); trivial. % 277.60/277.83 apply (zenon_L129_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L211_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_L199_); trivial. % 277.60/277.83 apply (zenon_L126_); trivial. % 277.60/277.83 apply (zenon_L203_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.83 apply (zenon_L212_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.83 apply (zenon_L169_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L213_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L206_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L130_); trivial. % 277.60/277.83 apply (zenon_L173_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.83 apply (zenon_L123_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L201_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L190_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L133_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L197_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.83 apply (zenon_L135_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.83 apply (zenon_L214_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.83 apply (zenon_L210_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.83 apply (zenon_L185_); trivial. % 277.60/277.83 apply (zenon_L178_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L198_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_L199_); trivial. % 277.60/277.83 apply (zenon_L200_); trivial. % 277.60/277.83 apply (zenon_L144_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.83 apply (zenon_L212_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L213_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L206_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L181_); trivial. % 277.60/277.83 apply (zenon_L179_); trivial. % 277.60/277.83 apply (zenon_L186_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H14c | zenon_intro zenon_H15c ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.83 apply (zenon_L13_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.83 apply (zenon_L224_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.83 apply (zenon_L225_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L29_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L52_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L226_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L153_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L54_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L161_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L51_); trivial. % 277.60/277.83 apply (zenon_L162_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.83 apply (zenon_L227_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L29_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L52_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L226_); trivial. % 277.60/277.83 apply (zenon_L173_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.83 apply (zenon_L224_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.83 apply (zenon_L229_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.83 apply (zenon_L192_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.83 apply (zenon_L227_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L95_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L96_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L226_); trivial. % 277.60/277.83 apply (zenon_L173_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.83 apply (zenon_L230_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.83 apply (zenon_L224_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_L205_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L39_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L48_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L50_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L31_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_L32_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L228_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_L34_); trivial. % 277.60/277.83 apply (zenon_L126_); trivial. % 277.60/277.83 apply (zenon_L144_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L226_); trivial. % 277.60/277.83 apply (zenon_L179_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.83 apply (zenon_L147_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L23_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L24_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_L25_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.83 apply (zenon_L26_); trivial. % 277.60/277.83 apply (zenon_L162_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.83 apply (zenon_L180_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.83 apply (zenon_L226_); trivial. % 277.60/277.83 apply (zenon_L179_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.83 apply (zenon_L227_); trivial. % 277.60/277.83 apply (zenon_L186_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.83 apply (zenon_L13_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.83 apply (zenon_L240_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.83 apply (zenon_L225_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.83 apply (zenon_L53_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.83 apply (zenon_L54_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.83 apply (zenon_L154_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.83 apply (zenon_L150_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.83 apply (zenon_L151_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.83 apply (zenon_L81_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.83 apply (zenon_L159_); trivial. % 277.60/277.83 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.84 apply (zenon_L236_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.84 apply (zenon_L237_); trivial. % 277.60/277.84 apply (zenon_L238_); trivial. % 277.60/277.84 apply (zenon_L49_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.84 apply (zenon_L51_); trivial. % 277.60/277.84 apply (zenon_L162_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L147_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L29_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L52_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L181_); trivial. % 277.60/277.84 apply (zenon_L241_); trivial. % 277.60/277.84 apply (zenon_L242_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L240_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L244_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L192_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L147_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L95_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L96_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L181_); trivial. % 277.60/277.84 apply (zenon_L241_); trivial. % 277.60/277.84 apply (zenon_L242_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L240_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L246_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L147_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.84 apply (zenon_L153_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.84 apply (zenon_L24_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.84 apply (zenon_L25_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.84 apply (zenon_L245_); trivial. % 277.60/277.84 apply (zenon_L162_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L180_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L130_); trivial. % 277.60/277.84 apply (zenon_L241_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L169_); trivial. % 277.60/277.84 apply (zenon_L242_); trivial. % 277.60/277.84 apply (zenon_L248_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H16b | zenon_intro zenon_H258 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H4b | zenon_intro zenon_H24f ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.84 apply (zenon_L250_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.84 apply (zenon_L254_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_L257_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L175_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L258_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L259_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L169_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L21_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L260_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L261_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L130_); trivial. % 277.60/277.84 apply (zenon_L173_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L175_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L258_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L259_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L21_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L260_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L261_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L181_); trivial. % 277.60/277.84 apply (zenon_L179_); trivial. % 277.60/277.84 apply (zenon_L186_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H136 | zenon_intro zenon_H256 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.84 apply (zenon_L187_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.84 apply (zenon_L252_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.84 apply (zenon_L253_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.84 apply (zenon_L255_); trivial. % 277.60/277.84 apply (zenon_L256_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H141 | zenon_intro zenon_H257 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.84 apply (zenon_L201_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.84 apply (zenon_L252_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.84 apply (zenon_L253_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.84 apply (zenon_L255_); trivial. % 277.60/277.84 apply (zenon_L256_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H14c | zenon_intro zenon_H15c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L262_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L258_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L259_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L227_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L263_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L260_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L261_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L226_); trivial. % 277.60/277.84 apply (zenon_L173_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.84 apply (zenon_L254_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_L257_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_L230_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L224_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L258_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L259_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L227_); trivial. % 277.60/277.84 apply (zenon_L186_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L262_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L258_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L259_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L264_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L260_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L261_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L181_); trivial. % 277.60/277.84 apply (zenon_L241_); trivial. % 277.60/277.84 apply (zenon_L242_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.84 apply (zenon_L254_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L240_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L244_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L192_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.84 apply (zenon_L99_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.84 apply (zenon_L252_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.84 apply (zenon_L253_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.84 apply (zenon_L194_); trivial. % 277.60/277.84 apply (zenon_L256_); trivial. % 277.60/277.84 apply (zenon_L242_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L240_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L246_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.84 apply (zenon_L153_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.84 apply (zenon_L252_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.84 apply (zenon_L253_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.84 apply (zenon_L245_); trivial. % 277.60/277.84 apply (zenon_L256_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L169_); trivial. % 277.60/277.84 apply (zenon_L242_); trivial. % 277.60/277.84 apply (zenon_L248_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H171 | zenon_intro zenon_H259 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H4b | zenon_intro zenon_H24f ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.84 apply (zenon_L250_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.84 apply (zenon_L272_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_L273_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L175_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.84 apply (zenon_L132_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.84 apply (zenon_L190_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.84 apply (zenon_L133_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.84 apply (zenon_L274_); trivial. % 277.60/277.84 apply (zenon_L144_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L275_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L169_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L21_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L277_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L278_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L130_); trivial. % 277.60/277.84 apply (zenon_L173_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L175_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L21_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L277_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L278_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L279_); trivial. % 277.60/277.84 apply (zenon_L179_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L275_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L21_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L277_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L278_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L181_); trivial. % 277.60/277.84 apply (zenon_L179_); trivial. % 277.60/277.84 apply (zenon_L186_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H136 | zenon_intro zenon_H256 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.84 apply (zenon_L187_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.84 apply (zenon_L270_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.84 apply (zenon_L271_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.84 apply (zenon_L274_); trivial. % 277.60/277.84 apply (zenon_L276_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H141 | zenon_intro zenon_H257 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.84 apply (zenon_L197_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.84 apply (zenon_L266_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.84 apply (zenon_L267_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.84 apply (zenon_L268_); trivial. % 277.60/277.84 apply (zenon_L269_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H14c | zenon_intro zenon_H15c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L224_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L280_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L275_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L227_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L264_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L277_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L278_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L226_); trivial. % 277.60/277.84 apply (zenon_L173_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.84 apply (zenon_L272_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_L273_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_L230_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L224_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L280_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L275_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L227_); trivial. % 277.60/277.84 apply (zenon_L186_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L262_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L264_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L277_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L278_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L279_); trivial. % 277.60/277.84 apply (zenon_L241_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L275_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L264_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L277_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L278_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L181_); trivial. % 277.60/277.84 apply (zenon_L241_); trivial. % 277.60/277.84 apply (zenon_L242_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.84 apply (zenon_L272_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_L273_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L281_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 277.60/277.84 apply (zenon_L118_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H16 | zenon_intro zenon_H36 ]. % 277.60/277.84 apply (zenon_L119_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1e | zenon_intro zenon_H37 ]. % 277.60/277.84 apply (zenon_L120_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H27 | zenon_intro zenon_H2e ]. % 277.60/277.84 apply (zenon_L284_); trivial. % 277.60/277.84 apply (zenon_L122_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L278_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L130_); trivial. % 277.60/277.84 apply (zenon_L241_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L246_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L275_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L169_); trivial. % 277.60/277.84 apply (zenon_L242_); trivial. % 277.60/277.84 apply (zenon_L248_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H175 | zenon_intro zenon_H179 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H4b | zenon_intro zenon_H24f ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.84 apply (zenon_L250_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.84 apply (zenon_L292_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L175_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L296_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L192_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L297_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L21_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L298_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L96_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L299_); trivial. % 277.60/277.84 apply (zenon_L173_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_L300_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L175_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L296_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L21_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L298_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L180_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L299_); trivial. % 277.60/277.84 apply (zenon_L179_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L297_); trivial. % 277.60/277.84 apply (zenon_L186_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H136 | zenon_intro zenon_H256 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.84 apply (zenon_L187_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.84 apply (zenon_L290_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.84 apply (zenon_L291_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.84 apply (zenon_L293_); trivial. % 277.60/277.84 apply (zenon_L295_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H141 | zenon_intro zenon_H257 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L262_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L296_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L212_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L297_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L264_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L298_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L206_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L299_); trivial. % 277.60/277.84 apply (zenon_L173_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.84 apply (zenon_L292_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_L204_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_L300_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L281_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L301_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L206_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L302_); trivial. % 277.60/277.84 apply (zenon_L179_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L296_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L212_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L297_); trivial. % 277.60/277.84 apply (zenon_L186_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H14c | zenon_intro zenon_H15c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.84 apply (zenon_L216_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.84 apply (zenon_L286_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.84 apply (zenon_L287_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.84 apply (zenon_L288_); trivial. % 277.60/277.84 apply (zenon_L289_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L262_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L296_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L264_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L298_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L180_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L299_); trivial. % 277.60/277.84 apply (zenon_L241_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L297_); trivial. % 277.60/277.84 apply (zenon_L242_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.84 apply (zenon_L292_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L281_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L301_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L96_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L302_); trivial. % 277.60/277.84 apply (zenon_L241_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.84 apply (zenon_L132_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.84 apply (zenon_L190_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.84 apply (zenon_L133_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H68 | zenon_intro zenon_H80 ]. % 277.60/277.84 apply (zenon_L97_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6a | zenon_intro zenon_H81 ]. % 277.60/277.84 apply (zenon_L92_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6b | zenon_intro zenon_H82 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 277.60/277.84 apply (zenon_L113_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb6 ]. % 277.60/277.84 apply (zenon_L107_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb7 ]. % 277.60/277.84 apply (zenon_L287_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 277.60/277.84 apply (zenon_L288_); trivial. % 277.60/277.84 apply (zenon_L108_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H6c | zenon_intro zenon_H83 ]. % 277.60/277.84 apply (zenon_L110_); trivial. % 277.60/277.84 apply (zenon_L93_); trivial. % 277.60/277.84 apply (zenon_L144_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L192_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L297_); trivial. % 277.60/277.84 apply (zenon_L242_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_L300_); trivial. % 277.60/277.84 apply (zenon_L248_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H4b | zenon_intro zenon_H24f ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.84 apply (zenon_L250_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.84 apply (zenon_L310_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L175_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L312_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L192_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L21_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L314_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L96_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L181_); trivial. % 277.60/277.84 apply (zenon_L315_); trivial. % 277.60/277.84 apply (zenon_L316_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L175_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L312_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L21_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L314_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L180_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L130_); trivial. % 277.60/277.84 apply (zenon_L315_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L169_); trivial. % 277.60/277.84 apply (zenon_L316_); trivial. % 277.60/277.84 apply (zenon_L317_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H136 | zenon_intro zenon_H256 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 277.60/277.84 apply (zenon_L187_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H59 | zenon_intro zenon_H63 ]. % 277.60/277.84 apply (zenon_L308_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5a | zenon_intro zenon_H64 ]. % 277.60/277.84 apply (zenon_L309_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5b | zenon_intro zenon_H5f ]. % 277.60/277.84 apply (zenon_L311_); trivial. % 277.60/277.84 apply (zenon_L313_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H141 | zenon_intro zenon_H257 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L262_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L312_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L212_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L264_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L314_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L206_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L181_); trivial. % 277.60/277.84 apply (zenon_L315_); trivial. % 277.60/277.84 apply (zenon_L316_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.84 apply (zenon_L310_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_L204_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L281_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L314_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L206_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L130_); trivial. % 277.60/277.84 apply (zenon_L315_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L312_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L212_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L169_); trivial. % 277.60/277.84 apply (zenon_L316_); trivial. % 277.60/277.84 apply (zenon_L317_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H14c | zenon_intro zenon_H15c ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H7 | zenon_intro zenon_H250 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L224_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L312_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H39 | zenon_intro zenon_H13d ]. % 277.60/277.84 apply (zenon_L263_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H55 | zenon_intro zenon_H13e ]. % 277.60/277.84 apply (zenon_L314_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H66 | zenon_intro zenon_H13f ]. % 277.60/277.84 apply (zenon_L180_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc5 ]. % 277.60/277.84 apply (zenon_L226_); trivial. % 277.60/277.84 apply (zenon_L315_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L227_); trivial. % 277.60/277.84 apply (zenon_L316_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H5d | zenon_intro zenon_H251 ]. % 277.60/277.84 apply (zenon_L310_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H252 ]. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_Hec | zenon_intro zenon_H253 ]. % 277.60/277.84 apply (zenon_L224_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H103 | zenon_intro zenon_H254 ]. % 277.60/277.84 apply (zenon_L229_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H118 | zenon_intro zenon_H255 ]. % 277.60/277.84 apply (zenon_L192_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H128 | zenon_intro zenon_H12c ]. % 277.60/277.84 apply (zenon_L227_); trivial. % 277.60/277.84 apply (zenon_L316_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 277.60/277.84 apply (zenon_L230_); trivial. % 277.60/277.84 apply (zenon_L317_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hce ]. % 277.60/277.84 apply (zenon_L232_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hcf ]. % 277.60/277.84 apply (zenon_L304_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd0 ]. % 277.60/277.84 apply (zenon_L236_); trivial. % 277.60/277.84 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 277.60/277.84 apply (zenon_L237_); trivial. % 277.60/277.84 apply (zenon_L238_); trivial. % 277.60/277.84 Qed. % 277.60/277.84 % SZS output end Proof % 277.60/277.84 (* END-PROOF *) % 277.60/277.84 nodes searched: 4549972 % 277.60/277.84 max branch formulas: 5816 % 277.60/277.84 proof nodes created: 3848 % 277.60/277.84 formulas created: 8734461 % 277.60/277.84 %------------------------------------------------------------------------------