TSTP Solution File: CSR039+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : CSR039+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n024.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 : Sat Jul 16 00:02:00 EDT 2022
% Result : Theorem 2.66s 2.82s
% Output : Proof 2.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CSR039+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 10 19:06:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.66/2.82 (* PROOF-FOUND *)
% 2.66/2.82 % SZS status Theorem
% 2.66/2.82 (* BEGIN-PROOF *)
% 2.66/2.82 % SZS output start Proof
% 2.66/2.82 Theorem query39 : ((mtvisible (f_contentmtofcdafromeventfn (f_urlreferentfn (f_urlfn (s_http_wwwpoweripodsearchinfobrown_ipodhtml))) (c_translation_7)))->(disjointwith (c_tptpcol_15_93775) (c_tptpcol_13_18664))).
% 2.66/2.82 Proof.
% 2.66/2.82 assert (zenon_L1_ : (~((c_tptpcol_11_93764) = (c_tptpcol_11_93764))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H9f.
% 2.66/2.82 apply zenon_H9f. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L1_ *)
% 2.66/2.82 assert (zenon_L2_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(genls (c_tptpcol_13_93766) (c_tptpcol_11_93764))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_Ha1.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_93766) = (c_tptpcol_12_93765)))/\(~(genls (c_tptpcol_13_93766) (c_tptpcol_12_93765))))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4.
% 2.66/2.82 exact (zenon_Ha4 just53).
% 2.66/2.82 cut ((genls (c_tptpcol_12_93765) (c_tptpcol_11_93764)) = (genls (c_tptpcol_13_93766) (c_tptpcol_11_93764))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Ha1.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just51.
% 2.66/2.82 cut (((c_tptpcol_11_93764) = (c_tptpcol_11_93764))); [idtac | apply NNPP; zenon_intro zenon_H9f].
% 2.66/2.82 cut (((c_tptpcol_12_93765) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_Ha3); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 2.66/2.82 apply zenon_Ha8. zenon_intro zenon_Ha9.
% 2.66/2.82 elim (classic ((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766)) = ((c_tptpcol_12_93765) = (c_tptpcol_13_93766))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Ha6.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_Haa.
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_12_93765))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_Ha5 zenon_Ha9).
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Ha7. zenon_intro just53.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_93766)). zenon_intro zenon_Hac.
% 2.66/2.82 generalize (zenon_Hac (c_tptpcol_12_93765)). zenon_intro zenon_Had.
% 2.66/2.82 generalize (zenon_Had (c_tptpcol_11_93764)). zenon_intro zenon_Hae.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_Hae); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Haf ].
% 2.66/2.82 exact (zenon_Ha4 just53).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_Haf); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb0 ].
% 2.66/2.82 exact (zenon_Hb1 just51).
% 2.66/2.82 exact (zenon_Ha1 zenon_Hb0).
% 2.66/2.82 apply zenon_H9f. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L2_ *)
% 2.66/2.82 assert (zenon_L3_ : (~((c_tptpcol_10_93700) = (c_tptpcol_10_93700))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Hb2.
% 2.66/2.82 apply zenon_Hb2. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L3_ *)
% 2.66/2.82 assert (zenon_L4_ : (~((c_tptpcol_9_93699) = (c_tptpcol_9_93699))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Hb3.
% 2.66/2.82 apply zenon_Hb3. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L4_ *)
% 2.66/2.82 assert (zenon_L5_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(genls (c_tptpcol_13_93766) (c_tptpcol_9_93699))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_Hb4.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_93766) = (c_tptpcol_10_93700)))/\(~(genls (c_tptpcol_13_93766) (c_tptpcol_10_93700))))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb6 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_93766) = (c_tptpcol_11_93764)))/\(~(genls (c_tptpcol_13_93766) (c_tptpcol_11_93764))))); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hba ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hbb. zenon_intro zenon_Ha1.
% 2.66/2.82 apply (zenon_L2_); trivial.
% 2.66/2.82 cut ((genls (c_tptpcol_11_93764) (c_tptpcol_10_93700)) = (genls (c_tptpcol_13_93766) (c_tptpcol_10_93700))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Hb7.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just49.
% 2.66/2.82 cut (((c_tptpcol_10_93700) = (c_tptpcol_10_93700))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 2.66/2.82 cut (((c_tptpcol_11_93764) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_Hba); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hbd ].
% 2.66/2.82 apply zenon_Hbe. zenon_intro zenon_Hbf.
% 2.66/2.82 elim (classic ((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766)) = ((c_tptpcol_11_93764) = (c_tptpcol_13_93766))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Hbc.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_Haa.
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_11_93764))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_Hbb zenon_Hbf).
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hbd. zenon_intro zenon_Hb0.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_93766)). zenon_intro zenon_Hac.
% 2.66/2.82 generalize (zenon_Hac (c_tptpcol_11_93764)). zenon_intro zenon_Hc0.
% 2.66/2.82 generalize (zenon_Hc0 (c_tptpcol_10_93700)). zenon_intro zenon_Hc1.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hc2 ].
% 2.66/2.82 exact (zenon_Ha1 zenon_Hb0).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 2.66/2.82 exact (zenon_Hc4 just49).
% 2.66/2.82 exact (zenon_Hb7 zenon_Hc3).
% 2.66/2.82 apply zenon_Hb2. apply refl_equal.
% 2.66/2.82 cut ((genls (c_tptpcol_10_93700) (c_tptpcol_9_93699)) = (genls (c_tptpcol_13_93766) (c_tptpcol_9_93699))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Hb4.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just47.
% 2.66/2.82 cut (((c_tptpcol_9_93699) = (c_tptpcol_9_93699))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 2.66/2.82 cut (((c_tptpcol_10_93700) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_Hb6); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc6 ].
% 2.66/2.82 apply zenon_Hc7. zenon_intro zenon_Hc8.
% 2.66/2.82 elim (classic ((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766)) = ((c_tptpcol_10_93700) = (c_tptpcol_13_93766))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Hc5.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_Haa.
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_10_93700))); [idtac | apply NNPP; zenon_intro zenon_Hb8].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_Hb8 zenon_Hc8).
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hc6. zenon_intro zenon_Hc3.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_93766)). zenon_intro zenon_Hac.
% 2.66/2.82 generalize (zenon_Hac (c_tptpcol_10_93700)). zenon_intro zenon_Hc9.
% 2.66/2.82 generalize (zenon_Hc9 (c_tptpcol_9_93699)). zenon_intro zenon_Hca.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_Hca); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hcb ].
% 2.66/2.82 exact (zenon_Hb7 zenon_Hc3).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_Hcb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcc ].
% 2.66/2.82 exact (zenon_Hcd just47).
% 2.66/2.82 exact (zenon_Hb4 zenon_Hcc).
% 2.66/2.82 apply zenon_Hb3. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L5_ *)
% 2.66/2.82 assert (zenon_L6_ : (~((c_tptpcol_8_93698) = (c_tptpcol_8_93698))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Hce.
% 2.66/2.82 apply zenon_Hce. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L6_ *)
% 2.66/2.82 assert (zenon_L7_ : (~((c_tptpcol_7_93186) = (c_tptpcol_7_93186))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Hcf.
% 2.66/2.82 apply zenon_Hcf. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L7_ *)
% 2.66/2.82 assert (zenon_L8_ : (~((c_tptpcol_6_92162) = (c_tptpcol_6_92162))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Hd0.
% 2.66/2.82 apply zenon_Hd0. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L8_ *)
% 2.66/2.82 assert (zenon_L9_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(genls (c_tptpcol_13_93766) (c_tptpcol_6_92162))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_Hd1.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_93766) = (c_tptpcol_7_93186)))/\(~(genls (c_tptpcol_13_93766) (c_tptpcol_7_93186))))); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd3 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hd5. zenon_intro zenon_Hd4.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_93766) = (c_tptpcol_8_93698)))/\(~(genls (c_tptpcol_13_93766) (c_tptpcol_8_93698))))); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hd7 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_93766) = (c_tptpcol_9_93699)))/\(~(genls (c_tptpcol_13_93766) (c_tptpcol_9_93699))))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hb4.
% 2.66/2.82 apply (zenon_L5_); trivial.
% 2.66/2.82 cut ((genls (c_tptpcol_9_93699) (c_tptpcol_8_93698)) = (genls (c_tptpcol_13_93766) (c_tptpcol_8_93698))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Hd8.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just45.
% 2.66/2.82 cut (((c_tptpcol_8_93698) = (c_tptpcol_8_93698))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 2.66/2.82 cut (((c_tptpcol_9_93699) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_Hdb); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hde ].
% 2.66/2.82 apply zenon_Hdf. zenon_intro zenon_He0.
% 2.66/2.82 elim (classic ((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766)) = ((c_tptpcol_9_93699) = (c_tptpcol_13_93766))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Hdd.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_Haa.
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_9_93699))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_Hdc zenon_He0).
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hde. zenon_intro zenon_Hcc.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_93766)). zenon_intro zenon_Hac.
% 2.66/2.82 generalize (zenon_Hac (c_tptpcol_9_93699)). zenon_intro zenon_He1.
% 2.66/2.82 generalize (zenon_He1 (c_tptpcol_8_93698)). zenon_intro zenon_He2.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_He2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He3 ].
% 2.66/2.82 exact (zenon_Hb4 zenon_Hcc).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_He3); [ zenon_intro zenon_He5 | zenon_intro zenon_He4 ].
% 2.66/2.82 exact (zenon_He5 just45).
% 2.66/2.82 exact (zenon_Hd8 zenon_He4).
% 2.66/2.82 apply zenon_Hce. apply refl_equal.
% 2.66/2.82 cut ((genls (c_tptpcol_8_93698) (c_tptpcol_7_93186)) = (genls (c_tptpcol_13_93766) (c_tptpcol_7_93186))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Hd4.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just43.
% 2.66/2.82 cut (((c_tptpcol_7_93186) = (c_tptpcol_7_93186))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 2.66/2.82 cut (((c_tptpcol_8_93698) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_Hd7); [ zenon_intro zenon_He8 | zenon_intro zenon_He7 ].
% 2.66/2.82 apply zenon_He8. zenon_intro zenon_He9.
% 2.66/2.82 elim (classic ((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766)) = ((c_tptpcol_8_93698) = (c_tptpcol_13_93766))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_He6.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_Haa.
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_8_93698))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_Hd9 zenon_He9).
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_He7. zenon_intro zenon_He4.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_93766)). zenon_intro zenon_Hac.
% 2.66/2.82 generalize (zenon_Hac (c_tptpcol_8_93698)). zenon_intro zenon_Hea.
% 2.66/2.82 generalize (zenon_Hea (c_tptpcol_7_93186)). zenon_intro zenon_Heb.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_Heb); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hec ].
% 2.66/2.82 exact (zenon_Hd8 zenon_He4).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_Hec); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ].
% 2.66/2.82 exact (zenon_Hee just43).
% 2.66/2.82 exact (zenon_Hd4 zenon_Hed).
% 2.66/2.82 apply zenon_Hcf. apply refl_equal.
% 2.66/2.82 cut ((genls (c_tptpcol_7_93186) (c_tptpcol_6_92162)) = (genls (c_tptpcol_13_93766) (c_tptpcol_6_92162))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Hd1.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just41.
% 2.66/2.82 cut (((c_tptpcol_6_92162) = (c_tptpcol_6_92162))); [idtac | apply NNPP; zenon_intro zenon_Hd0].
% 2.66/2.82 cut (((c_tptpcol_7_93186) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_Hd3); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf0 ].
% 2.66/2.82 apply zenon_Hf1. zenon_intro zenon_Hf2.
% 2.66/2.82 elim (classic ((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766)) = ((c_tptpcol_7_93186) = (c_tptpcol_13_93766))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Hef.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_Haa.
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_7_93186))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_Hd5 zenon_Hf2).
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hf0. zenon_intro zenon_Hed.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_93766)). zenon_intro zenon_Hac.
% 2.66/2.82 generalize (zenon_Hac (c_tptpcol_7_93186)). zenon_intro zenon_Hf3.
% 2.66/2.82 generalize (zenon_Hf3 (c_tptpcol_6_92162)). zenon_intro zenon_Hf4.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hf5 ].
% 2.66/2.82 exact (zenon_Hd4 zenon_Hed).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf6 ].
% 2.66/2.82 exact (zenon_Hf7 just41).
% 2.66/2.82 exact (zenon_Hd1 zenon_Hf6).
% 2.66/2.82 apply zenon_Hd0. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L9_ *)
% 2.66/2.82 assert (zenon_L10_ : (~((c_tptpcol_5_90114) = (c_tptpcol_5_90114))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Hf8.
% 2.66/2.82 apply zenon_Hf8. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L10_ *)
% 2.66/2.82 assert (zenon_L11_ : (~((c_tptpcol_4_90113) = (c_tptpcol_4_90113))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Hf9.
% 2.66/2.82 apply zenon_Hf9. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L11_ *)
% 2.66/2.82 assert (zenon_L12_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(genls (c_tptpcol_13_93766) (c_tptpcol_4_90113))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_Hfa.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_93766) = (c_tptpcol_5_90114)))/\(~(genls (c_tptpcol_13_93766) (c_tptpcol_5_90114))))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hfe. zenon_intro zenon_Hfd.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_93766) = (c_tptpcol_6_92162)))/\(~(genls (c_tptpcol_13_93766) (c_tptpcol_6_92162))))); [ zenon_intro zenon_Hff | zenon_intro zenon_H100 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H101. zenon_intro zenon_Hd1.
% 2.66/2.82 apply (zenon_L9_); trivial.
% 2.66/2.82 cut ((genls (c_tptpcol_6_92162) (c_tptpcol_5_90114)) = (genls (c_tptpcol_13_93766) (c_tptpcol_5_90114))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Hfd.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just39.
% 2.66/2.82 cut (((c_tptpcol_5_90114) = (c_tptpcol_5_90114))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 2.66/2.82 cut (((c_tptpcol_6_92162) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H100); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 2.66/2.82 apply zenon_H104. zenon_intro zenon_H105.
% 2.66/2.82 elim (classic ((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766)) = ((c_tptpcol_6_92162) = (c_tptpcol_13_93766))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H102.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_Haa.
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_6_92162))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H101 zenon_H105).
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_H103. zenon_intro zenon_Hf6.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_93766)). zenon_intro zenon_Hac.
% 2.66/2.82 generalize (zenon_Hac (c_tptpcol_6_92162)). zenon_intro zenon_H106.
% 2.66/2.82 generalize (zenon_H106 (c_tptpcol_5_90114)). zenon_intro zenon_H107.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H107); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H108 ].
% 2.66/2.82 exact (zenon_Hd1 zenon_Hf6).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H108); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ].
% 2.66/2.82 exact (zenon_H10a just39).
% 2.66/2.82 exact (zenon_Hfd zenon_H109).
% 2.66/2.82 apply zenon_Hf8. apply refl_equal.
% 2.66/2.82 cut ((genls (c_tptpcol_5_90114) (c_tptpcol_4_90113)) = (genls (c_tptpcol_13_93766) (c_tptpcol_4_90113))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_Hfa.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just37.
% 2.66/2.82 cut (((c_tptpcol_4_90113) = (c_tptpcol_4_90113))); [idtac | apply NNPP; zenon_intro zenon_Hf9].
% 2.66/2.82 cut (((c_tptpcol_5_90114) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_H10b].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_Hfc); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ].
% 2.66/2.82 apply zenon_H10d. zenon_intro zenon_H10e.
% 2.66/2.82 elim (classic ((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766)) = ((c_tptpcol_5_90114) = (c_tptpcol_13_93766))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H10b.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_Haa.
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_5_90114))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_Hfe zenon_H10e).
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_H10c. zenon_intro zenon_H109.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_93766)). zenon_intro zenon_Hac.
% 2.66/2.82 generalize (zenon_Hac (c_tptpcol_5_90114)). zenon_intro zenon_H10f.
% 2.66/2.82 generalize (zenon_H10f (c_tptpcol_4_90113)). zenon_intro zenon_H110.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H110); [ zenon_intro zenon_Hfd | zenon_intro zenon_H111 ].
% 2.66/2.82 exact (zenon_Hfd zenon_H109).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H111); [ zenon_intro zenon_H113 | zenon_intro zenon_H112 ].
% 2.66/2.82 exact (zenon_H113 just37).
% 2.66/2.82 exact (zenon_Hfa zenon_H112).
% 2.66/2.82 apply zenon_Hf9. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L12_ *)
% 2.66/2.82 assert (zenon_L13_ : (~((c_tptpcol_3_81921) = (c_tptpcol_3_81921))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H114.
% 2.66/2.82 apply zenon_H114. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L13_ *)
% 2.66/2.82 assert (zenon_L14_ : (~((c_tptpcol_2_65537) = (c_tptpcol_2_65537))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H115.
% 2.66/2.82 apply zenon_H115. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L14_ *)
% 2.66/2.82 assert (zenon_L15_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(genls (c_tptpcol_13_93766) (c_tptpcol_2_65537))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_H116.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_93766) = (c_tptpcol_3_81921)))/\(~(genls (c_tptpcol_13_93766) (c_tptpcol_3_81921))))); [ zenon_intro zenon_H117 | zenon_intro zenon_H118 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H11a. zenon_intro zenon_H119.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_93766) = (c_tptpcol_4_90113)))/\(~(genls (c_tptpcol_13_93766) (c_tptpcol_4_90113))))); [ zenon_intro zenon_H11b | zenon_intro zenon_H11c ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H11d. zenon_intro zenon_Hfa.
% 2.66/2.82 apply (zenon_L12_); trivial.
% 2.66/2.82 cut ((genls (c_tptpcol_4_90113) (c_tptpcol_3_81921)) = (genls (c_tptpcol_13_93766) (c_tptpcol_3_81921))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H119.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just35.
% 2.66/2.82 cut (((c_tptpcol_3_81921) = (c_tptpcol_3_81921))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 2.66/2.82 cut (((c_tptpcol_4_90113) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_H11e].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H11c); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ].
% 2.66/2.82 apply zenon_H120. zenon_intro zenon_H121.
% 2.66/2.82 elim (classic ((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766)) = ((c_tptpcol_4_90113) = (c_tptpcol_13_93766))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H11e.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_Haa.
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_4_90113))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H11d zenon_H121).
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_H11f. zenon_intro zenon_H112.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_93766)). zenon_intro zenon_Hac.
% 2.66/2.82 generalize (zenon_Hac (c_tptpcol_4_90113)). zenon_intro zenon_H122.
% 2.66/2.82 generalize (zenon_H122 (c_tptpcol_3_81921)). zenon_intro zenon_H123.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H123); [ zenon_intro zenon_Hfa | zenon_intro zenon_H124 ].
% 2.66/2.82 exact (zenon_Hfa zenon_H112).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_H126 | zenon_intro zenon_H125 ].
% 2.66/2.82 exact (zenon_H126 just35).
% 2.66/2.82 exact (zenon_H119 zenon_H125).
% 2.66/2.82 apply zenon_H114. apply refl_equal.
% 2.66/2.82 cut ((genls (c_tptpcol_3_81921) (c_tptpcol_2_65537)) = (genls (c_tptpcol_13_93766) (c_tptpcol_2_65537))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H116.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just33.
% 2.66/2.82 cut (((c_tptpcol_2_65537) = (c_tptpcol_2_65537))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 2.66/2.82 cut (((c_tptpcol_3_81921) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H118); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ].
% 2.66/2.82 apply zenon_H129. zenon_intro zenon_H12a.
% 2.66/2.82 elim (classic ((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766)) = ((c_tptpcol_3_81921) = (c_tptpcol_13_93766))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H127.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_Haa.
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_3_81921))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H11a zenon_H12a).
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_H128. zenon_intro zenon_H125.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_93766)). zenon_intro zenon_Hac.
% 2.66/2.82 generalize (zenon_Hac (c_tptpcol_3_81921)). zenon_intro zenon_H12b.
% 2.66/2.82 generalize (zenon_H12b (c_tptpcol_2_65537)). zenon_intro zenon_H12c.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H12c); [ zenon_intro zenon_H119 | zenon_intro zenon_H12d ].
% 2.66/2.82 exact (zenon_H119 zenon_H125).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H12d); [ zenon_intro zenon_H12f | zenon_intro zenon_H12e ].
% 2.66/2.82 exact (zenon_H12f just33).
% 2.66/2.82 exact (zenon_H116 zenon_H12e).
% 2.66/2.82 apply zenon_H115. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L15_ *)
% 2.66/2.82 assert (zenon_L16_ : (~((c_tptpcol_1_65536) = (c_tptpcol_1_65536))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H130.
% 2.66/2.82 apply zenon_H130. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L16_ *)
% 2.66/2.82 assert (zenon_L17_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(genls (c_tptpcol_13_93766) (c_tptpcol_1_65536))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_H131.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_93766) = (c_tptpcol_2_65537)))/\(~(genls (c_tptpcol_13_93766) (c_tptpcol_2_65537))))); [ zenon_intro zenon_H132 | zenon_intro zenon_H133 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H134. zenon_intro zenon_H116.
% 2.66/2.82 apply (zenon_L15_); trivial.
% 2.66/2.82 cut ((genls (c_tptpcol_2_65537) (c_tptpcol_1_65536)) = (genls (c_tptpcol_13_93766) (c_tptpcol_1_65536))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H131.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just31.
% 2.66/2.82 cut (((c_tptpcol_1_65536) = (c_tptpcol_1_65536))); [idtac | apply NNPP; zenon_intro zenon_H130].
% 2.66/2.82 cut (((c_tptpcol_2_65537) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H133); [ zenon_intro zenon_H137 | zenon_intro zenon_H136 ].
% 2.66/2.82 apply zenon_H137. zenon_intro zenon_H138.
% 2.66/2.82 elim (classic ((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766)) = ((c_tptpcol_2_65537) = (c_tptpcol_13_93766))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H135.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_Haa.
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_2_65537))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H134 zenon_H138).
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 apply zenon_H136. zenon_intro zenon_H12e.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_93766)). zenon_intro zenon_Hac.
% 2.66/2.82 generalize (zenon_Hac (c_tptpcol_2_65537)). zenon_intro zenon_H139.
% 2.66/2.82 generalize (zenon_H139 (c_tptpcol_1_65536)). zenon_intro zenon_H13a.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H13a); [ zenon_intro zenon_H116 | zenon_intro zenon_H13b ].
% 2.66/2.82 exact (zenon_H116 zenon_H12e).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H13b); [ zenon_intro zenon_H13d | zenon_intro zenon_H13c ].
% 2.66/2.82 exact (zenon_H13d just31).
% 2.66/2.82 exact (zenon_H131 zenon_H13c).
% 2.66/2.82 apply zenon_H130. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L17_ *)
% 2.66/2.82 assert (zenon_L18_ : (~((c_tptpcol_11_18631) = (c_tptpcol_11_18631))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H13e.
% 2.66/2.82 apply zenon_H13e. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L18_ *)
% 2.66/2.82 assert (zenon_L19_ : (~((c_tptpcol_10_18567) = (c_tptpcol_10_18567))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H13f.
% 2.66/2.82 apply zenon_H13f. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L19_ *)
% 2.66/2.82 assert (zenon_L20_ : (~((c_tptpcol_9_18439) = (c_tptpcol_9_18439))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H140.
% 2.66/2.82 apply zenon_H140. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L20_ *)
% 2.66/2.82 assert (zenon_L21_ : (~((c_tptpcol_8_18438) = (c_tptpcol_8_18438))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H141.
% 2.66/2.82 apply zenon_H141. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L21_ *)
% 2.66/2.82 assert (zenon_L22_ : (~((c_tptpcol_7_18437) = (c_tptpcol_7_18437))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H142.
% 2.66/2.82 apply zenon_H142. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L22_ *)
% 2.66/2.82 assert (zenon_L23_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(genls (c_tptpcol_13_18664) (c_tptpcol_7_18437))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_H143.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_18664) = (c_tptpcol_8_18438)))/\(~(genls (c_tptpcol_13_18664) (c_tptpcol_8_18438))))); [ zenon_intro zenon_H144 | zenon_intro zenon_H145 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H147. zenon_intro zenon_H146.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_18664) = (c_tptpcol_9_18439)))/\(~(genls (c_tptpcol_13_18664) (c_tptpcol_9_18439))))); [ zenon_intro zenon_H148 | zenon_intro zenon_H149 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H14b. zenon_intro zenon_H14a.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_18664) = (c_tptpcol_10_18567)))/\(~(genls (c_tptpcol_13_18664) (c_tptpcol_10_18567))))); [ zenon_intro zenon_H14c | zenon_intro zenon_H14d ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H14f. zenon_intro zenon_H14e.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_18664) = (c_tptpcol_11_18631)))/\(~(genls (c_tptpcol_13_18664) (c_tptpcol_11_18631))))); [ zenon_intro zenon_H150 | zenon_intro zenon_H151 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H153. zenon_intro zenon_H152.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_18664) = (c_tptpcol_12_18663)))/\(~(genls (c_tptpcol_13_18664) (c_tptpcol_12_18663))))); [ zenon_intro zenon_H154 | zenon_intro zenon_H155 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H157. zenon_intro zenon_H156.
% 2.66/2.82 exact (zenon_H156 just29).
% 2.66/2.82 cut ((genls (c_tptpcol_12_18663) (c_tptpcol_11_18631)) = (genls (c_tptpcol_13_18664) (c_tptpcol_11_18631))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H152.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just27.
% 2.66/2.82 cut (((c_tptpcol_11_18631) = (c_tptpcol_11_18631))); [idtac | apply NNPP; zenon_intro zenon_H13e].
% 2.66/2.82 cut (((c_tptpcol_12_18663) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H158].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H155); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ].
% 2.66/2.82 apply zenon_H15a. zenon_intro zenon_H15b.
% 2.66/2.82 elim (classic ((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664)) = ((c_tptpcol_12_18663) = (c_tptpcol_13_18664))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H158.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_H15c.
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_12_18663))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H157 zenon_H15b).
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H159. zenon_intro just29.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_18664)). zenon_intro zenon_H15e.
% 2.66/2.82 generalize (zenon_H15e (c_tptpcol_12_18663)). zenon_intro zenon_H15f.
% 2.66/2.82 generalize (zenon_H15f (c_tptpcol_11_18631)). zenon_intro zenon_H160.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H160); [ zenon_intro zenon_H156 | zenon_intro zenon_H161 ].
% 2.66/2.82 exact (zenon_H156 just29).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H161); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ].
% 2.66/2.82 exact (zenon_H163 just27).
% 2.66/2.82 exact (zenon_H152 zenon_H162).
% 2.66/2.82 apply zenon_H13e. apply refl_equal.
% 2.66/2.82 cut ((genls (c_tptpcol_11_18631) (c_tptpcol_10_18567)) = (genls (c_tptpcol_13_18664) (c_tptpcol_10_18567))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H14e.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just25.
% 2.66/2.82 cut (((c_tptpcol_10_18567) = (c_tptpcol_10_18567))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 2.66/2.82 cut (((c_tptpcol_11_18631) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H164].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H151); [ zenon_intro zenon_H166 | zenon_intro zenon_H165 ].
% 2.66/2.82 apply zenon_H166. zenon_intro zenon_H167.
% 2.66/2.82 elim (classic ((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664)) = ((c_tptpcol_11_18631) = (c_tptpcol_13_18664))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H164.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_H15c.
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_11_18631))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H153 zenon_H167).
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H165. zenon_intro zenon_H162.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_18664)). zenon_intro zenon_H15e.
% 2.66/2.82 generalize (zenon_H15e (c_tptpcol_11_18631)). zenon_intro zenon_H168.
% 2.66/2.82 generalize (zenon_H168 (c_tptpcol_10_18567)). zenon_intro zenon_H169.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H169); [ zenon_intro zenon_H152 | zenon_intro zenon_H16a ].
% 2.66/2.82 exact (zenon_H152 zenon_H162).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H16a); [ zenon_intro zenon_H16c | zenon_intro zenon_H16b ].
% 2.66/2.82 exact (zenon_H16c just25).
% 2.66/2.82 exact (zenon_H14e zenon_H16b).
% 2.66/2.82 apply zenon_H13f. apply refl_equal.
% 2.66/2.82 cut ((genls (c_tptpcol_10_18567) (c_tptpcol_9_18439)) = (genls (c_tptpcol_13_18664) (c_tptpcol_9_18439))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H14a.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just23.
% 2.66/2.82 cut (((c_tptpcol_9_18439) = (c_tptpcol_9_18439))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 2.66/2.82 cut (((c_tptpcol_10_18567) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H16d].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H14d); [ zenon_intro zenon_H16f | zenon_intro zenon_H16e ].
% 2.66/2.82 apply zenon_H16f. zenon_intro zenon_H170.
% 2.66/2.82 elim (classic ((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664)) = ((c_tptpcol_10_18567) = (c_tptpcol_13_18664))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H16d.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_H15c.
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_10_18567))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H14f zenon_H170).
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H16e. zenon_intro zenon_H16b.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_18664)). zenon_intro zenon_H15e.
% 2.66/2.82 generalize (zenon_H15e (c_tptpcol_10_18567)). zenon_intro zenon_H171.
% 2.66/2.82 generalize (zenon_H171 (c_tptpcol_9_18439)). zenon_intro zenon_H172.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H172); [ zenon_intro zenon_H14e | zenon_intro zenon_H173 ].
% 2.66/2.82 exact (zenon_H14e zenon_H16b).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H173); [ zenon_intro zenon_H175 | zenon_intro zenon_H174 ].
% 2.66/2.82 exact (zenon_H175 just23).
% 2.66/2.82 exact (zenon_H14a zenon_H174).
% 2.66/2.82 apply zenon_H140. apply refl_equal.
% 2.66/2.82 cut ((genls (c_tptpcol_9_18439) (c_tptpcol_8_18438)) = (genls (c_tptpcol_13_18664) (c_tptpcol_8_18438))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H146.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just21.
% 2.66/2.82 cut (((c_tptpcol_8_18438) = (c_tptpcol_8_18438))); [idtac | apply NNPP; zenon_intro zenon_H141].
% 2.66/2.82 cut (((c_tptpcol_9_18439) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H176].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H149); [ zenon_intro zenon_H178 | zenon_intro zenon_H177 ].
% 2.66/2.82 apply zenon_H178. zenon_intro zenon_H179.
% 2.66/2.82 elim (classic ((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664)) = ((c_tptpcol_9_18439) = (c_tptpcol_13_18664))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H176.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_H15c.
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_9_18439))); [idtac | apply NNPP; zenon_intro zenon_H14b].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H14b zenon_H179).
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H177. zenon_intro zenon_H174.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_18664)). zenon_intro zenon_H15e.
% 2.66/2.82 generalize (zenon_H15e (c_tptpcol_9_18439)). zenon_intro zenon_H17a.
% 2.66/2.82 generalize (zenon_H17a (c_tptpcol_8_18438)). zenon_intro zenon_H17b.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H17b); [ zenon_intro zenon_H14a | zenon_intro zenon_H17c ].
% 2.66/2.82 exact (zenon_H14a zenon_H174).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H17c); [ zenon_intro zenon_H17e | zenon_intro zenon_H17d ].
% 2.66/2.82 exact (zenon_H17e just21).
% 2.66/2.82 exact (zenon_H146 zenon_H17d).
% 2.66/2.82 apply zenon_H141. apply refl_equal.
% 2.66/2.82 cut ((genls (c_tptpcol_8_18438) (c_tptpcol_7_18437)) = (genls (c_tptpcol_13_18664) (c_tptpcol_7_18437))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H143.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just19.
% 2.66/2.82 cut (((c_tptpcol_7_18437) = (c_tptpcol_7_18437))); [idtac | apply NNPP; zenon_intro zenon_H142].
% 2.66/2.82 cut (((c_tptpcol_8_18438) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H145); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ].
% 2.66/2.82 apply zenon_H181. zenon_intro zenon_H182.
% 2.66/2.82 elim (classic ((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664)) = ((c_tptpcol_8_18438) = (c_tptpcol_13_18664))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H17f.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_H15c.
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_8_18438))); [idtac | apply NNPP; zenon_intro zenon_H147].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H147 zenon_H182).
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H180. zenon_intro zenon_H17d.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_18664)). zenon_intro zenon_H15e.
% 2.66/2.82 generalize (zenon_H15e (c_tptpcol_8_18438)). zenon_intro zenon_H183.
% 2.66/2.82 generalize (zenon_H183 (c_tptpcol_7_18437)). zenon_intro zenon_H184.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H184); [ zenon_intro zenon_H146 | zenon_intro zenon_H185 ].
% 2.66/2.82 exact (zenon_H146 zenon_H17d).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H185); [ zenon_intro zenon_H187 | zenon_intro zenon_H186 ].
% 2.66/2.82 exact (zenon_H187 just19).
% 2.66/2.82 exact (zenon_H143 zenon_H186).
% 2.66/2.82 apply zenon_H142. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L23_ *)
% 2.66/2.82 assert (zenon_L24_ : (~((c_tptpcol_6_18436) = (c_tptpcol_6_18436))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H188.
% 2.66/2.82 apply zenon_H188. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L24_ *)
% 2.66/2.82 assert (zenon_L25_ : (~((c_tptpcol_5_16388) = (c_tptpcol_5_16388))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H189.
% 2.66/2.82 apply zenon_H189. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L25_ *)
% 2.66/2.82 assert (zenon_L26_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(genls (c_tptpcol_13_18664) (c_tptpcol_5_16388))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_H18a.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_18664) = (c_tptpcol_6_18436)))/\(~(genls (c_tptpcol_13_18664) (c_tptpcol_6_18436))))); [ zenon_intro zenon_H18b | zenon_intro zenon_H18c ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H18e. zenon_intro zenon_H18d.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_18664) = (c_tptpcol_7_18437)))/\(~(genls (c_tptpcol_13_18664) (c_tptpcol_7_18437))))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H191. zenon_intro zenon_H143.
% 2.66/2.82 apply (zenon_L23_); trivial.
% 2.66/2.82 cut ((genls (c_tptpcol_7_18437) (c_tptpcol_6_18436)) = (genls (c_tptpcol_13_18664) (c_tptpcol_6_18436))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H18d.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just17.
% 2.66/2.82 cut (((c_tptpcol_6_18436) = (c_tptpcol_6_18436))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 2.66/2.82 cut (((c_tptpcol_7_18437) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H192].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H190); [ zenon_intro zenon_H194 | zenon_intro zenon_H193 ].
% 2.66/2.82 apply zenon_H194. zenon_intro zenon_H195.
% 2.66/2.82 elim (classic ((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664)) = ((c_tptpcol_7_18437) = (c_tptpcol_13_18664))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H192.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_H15c.
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_7_18437))); [idtac | apply NNPP; zenon_intro zenon_H191].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H191 zenon_H195).
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H193. zenon_intro zenon_H186.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_18664)). zenon_intro zenon_H15e.
% 2.66/2.82 generalize (zenon_H15e (c_tptpcol_7_18437)). zenon_intro zenon_H196.
% 2.66/2.82 generalize (zenon_H196 (c_tptpcol_6_18436)). zenon_intro zenon_H197.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H197); [ zenon_intro zenon_H143 | zenon_intro zenon_H198 ].
% 2.66/2.82 exact (zenon_H143 zenon_H186).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H198); [ zenon_intro zenon_H19a | zenon_intro zenon_H199 ].
% 2.66/2.82 exact (zenon_H19a just17).
% 2.66/2.82 exact (zenon_H18d zenon_H199).
% 2.66/2.82 apply zenon_H188. apply refl_equal.
% 2.66/2.82 cut ((genls (c_tptpcol_6_18436) (c_tptpcol_5_16388)) = (genls (c_tptpcol_13_18664) (c_tptpcol_5_16388))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H18a.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just15.
% 2.66/2.82 cut (((c_tptpcol_5_16388) = (c_tptpcol_5_16388))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 2.66/2.82 cut (((c_tptpcol_6_18436) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H19b].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H18c); [ zenon_intro zenon_H19d | zenon_intro zenon_H19c ].
% 2.66/2.82 apply zenon_H19d. zenon_intro zenon_H19e.
% 2.66/2.82 elim (classic ((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664)) = ((c_tptpcol_6_18436) = (c_tptpcol_13_18664))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H19b.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_H15c.
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_6_18436))); [idtac | apply NNPP; zenon_intro zenon_H18e].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H18e zenon_H19e).
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H19c. zenon_intro zenon_H199.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_18664)). zenon_intro zenon_H15e.
% 2.66/2.82 generalize (zenon_H15e (c_tptpcol_6_18436)). zenon_intro zenon_H19f.
% 2.66/2.82 generalize (zenon_H19f (c_tptpcol_5_16388)). zenon_intro zenon_H1a0.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1a0); [ zenon_intro zenon_H18d | zenon_intro zenon_H1a1 ].
% 2.66/2.82 exact (zenon_H18d zenon_H199).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 2.66/2.82 exact (zenon_H1a3 just15).
% 2.66/2.82 exact (zenon_H18a zenon_H1a2).
% 2.66/2.82 apply zenon_H189. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L26_ *)
% 2.66/2.82 assert (zenon_L27_ : (~((c_tptpcol_4_16387) = (c_tptpcol_4_16387))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H1a4.
% 2.66/2.82 apply zenon_H1a4. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L27_ *)
% 2.66/2.82 assert (zenon_L28_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(genls (c_tptpcol_13_18664) (c_tptpcol_4_16387))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_H1a5.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_18664) = (c_tptpcol_5_16388)))/\(~(genls (c_tptpcol_13_18664) (c_tptpcol_5_16388))))); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a7 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H1a8. zenon_intro zenon_H18a.
% 2.66/2.82 apply (zenon_L26_); trivial.
% 2.66/2.82 cut ((genls (c_tptpcol_5_16388) (c_tptpcol_4_16387)) = (genls (c_tptpcol_13_18664) (c_tptpcol_4_16387))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H1a5.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just13.
% 2.66/2.82 cut (((c_tptpcol_4_16387) = (c_tptpcol_4_16387))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 2.66/2.82 cut (((c_tptpcol_5_16388) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H1a7); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ].
% 2.66/2.82 apply zenon_H1ab. zenon_intro zenon_H1ac.
% 2.66/2.82 elim (classic ((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664)) = ((c_tptpcol_5_16388) = (c_tptpcol_13_18664))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H1a9.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_H15c.
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_5_16388))); [idtac | apply NNPP; zenon_intro zenon_H1a8].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H1a8 zenon_H1ac).
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H1aa. zenon_intro zenon_H1a2.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_18664)). zenon_intro zenon_H15e.
% 2.66/2.82 generalize (zenon_H15e (c_tptpcol_5_16388)). zenon_intro zenon_H1ad.
% 2.66/2.82 generalize (zenon_H1ad (c_tptpcol_4_16387)). zenon_intro zenon_H1ae.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1ae); [ zenon_intro zenon_H18a | zenon_intro zenon_H1af ].
% 2.66/2.82 exact (zenon_H18a zenon_H1a2).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1b0 ].
% 2.66/2.82 exact (zenon_H1b1 just13).
% 2.66/2.82 exact (zenon_H1a5 zenon_H1b0).
% 2.66/2.82 apply zenon_H1a4. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L28_ *)
% 2.66/2.82 assert (zenon_L29_ : (~((c_tptpcol_3_16386) = (c_tptpcol_3_16386))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H1b2.
% 2.66/2.82 apply zenon_H1b2. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L29_ *)
% 2.66/2.82 assert (zenon_L30_ : (~((c_tptpcol_2_2) = (c_tptpcol_2_2))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H1b3.
% 2.66/2.82 apply zenon_H1b3. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L30_ *)
% 2.66/2.82 assert (zenon_L31_ : (~((c_tptpcol_1_1) = (c_tptpcol_1_1))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_H1b4.
% 2.66/2.82 apply zenon_H1b4. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L31_ *)
% 2.66/2.82 assert (zenon_L32_ : (~((c_tptpcol_13_93766) = (c_tptpcol_13_93766))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Hab.
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L32_ *)
% 2.66/2.82 assert (zenon_L33_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(genls (c_tptpcol_15_93775) (c_tptpcol_13_93766))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_H1b5.
% 2.66/2.82 elim (classic ((~((c_tptpcol_15_93775) = (c_tptpcol_14_93774)))/\(~(genls (c_tptpcol_15_93775) (c_tptpcol_14_93774))))); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b7 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H1b9. zenon_intro zenon_H1b8.
% 2.66/2.82 exact (zenon_H1b8 just57).
% 2.66/2.82 cut ((genls (c_tptpcol_14_93774) (c_tptpcol_13_93766)) = (genls (c_tptpcol_15_93775) (c_tptpcol_13_93766))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H1b5.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just55.
% 2.66/2.82 cut (((c_tptpcol_13_93766) = (c_tptpcol_13_93766))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 2.66/2.82 cut (((c_tptpcol_14_93774) = (c_tptpcol_15_93775))); [idtac | apply NNPP; zenon_intro zenon_H1ba].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H1b7); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1bb ].
% 2.66/2.82 apply zenon_H1bc. zenon_intro zenon_H1bd.
% 2.66/2.82 elim (classic ((c_tptpcol_15_93775) = (c_tptpcol_15_93775))); [ zenon_intro zenon_H1be | zenon_intro zenon_H1bf ].
% 2.66/2.82 cut (((c_tptpcol_15_93775) = (c_tptpcol_15_93775)) = ((c_tptpcol_14_93774) = (c_tptpcol_15_93775))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H1ba.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_H1be.
% 2.66/2.82 cut (((c_tptpcol_15_93775) = (c_tptpcol_15_93775))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 2.66/2.82 cut (((c_tptpcol_15_93775) = (c_tptpcol_14_93774))); [idtac | apply NNPP; zenon_intro zenon_H1b9].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H1b9 zenon_H1bd).
% 2.66/2.82 apply zenon_H1bf. apply refl_equal.
% 2.66/2.82 apply zenon_H1bf. apply refl_equal.
% 2.66/2.82 apply zenon_H1bb. zenon_intro just57.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_15_93775)). zenon_intro zenon_H1c0.
% 2.66/2.82 generalize (zenon_H1c0 (c_tptpcol_14_93774)). zenon_intro zenon_H1c1.
% 2.66/2.82 generalize (zenon_H1c1 (c_tptpcol_13_93766)). zenon_intro zenon_H1c2.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1c2); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1c3 ].
% 2.66/2.82 exact (zenon_H1b8 just57).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1c3); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1c4 ].
% 2.66/2.82 exact (zenon_H1c5 just55).
% 2.66/2.82 exact (zenon_H1b5 zenon_H1c4).
% 2.66/2.82 apply zenon_Hab. apply refl_equal.
% 2.66/2.82 (* end of lemma zenon_L33_ *)
% 2.66/2.82 assert (zenon_L34_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (forall NEW : zenon_U, (((disjointwith (c_tptpcol_13_18664) (c_tptpcol_13_93766))/\(genls NEW (c_tptpcol_13_93766)))->(disjointwith (c_tptpcol_13_18664) NEW))) -> (disjointwith (c_tptpcol_13_18664) (c_tptpcol_13_93766)) -> (~(disjointwith (c_tptpcol_15_93775) (c_tptpcol_13_18664))) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_H1c6 zenon_H1c7 zenon_H1c8.
% 2.66/2.82 generalize (zenon_H1c6 (c_tptpcol_15_93775)). zenon_intro zenon_H1c9.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1c9); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1ca ].
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H1cb); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1b5 ].
% 2.66/2.82 exact (zenon_H1cc zenon_H1c7).
% 2.66/2.82 apply (zenon_L33_); trivial.
% 2.66/2.82 generalize (just76 (c_tptpcol_13_18664)). zenon_intro zenon_H1cd.
% 2.66/2.82 generalize (zenon_H1cd (c_tptpcol_15_93775)). zenon_intro zenon_H1ce.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1ce); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1cf ].
% 2.66/2.82 exact (zenon_H1d0 zenon_H1ca).
% 2.66/2.82 exact (zenon_H1c8 zenon_H1cf).
% 2.66/2.82 (* end of lemma zenon_L34_ *)
% 2.66/2.82 assert (zenon_L35_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(disjointwith (c_tptpcol_15_93775) (c_tptpcol_13_18664))) -> (genls (c_tptpcol_13_93766) (c_tptpcol_13_93766)) -> (disjointwith (c_tptpcol_1_65536) (c_tptpcol_13_18664)) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_H1c8 zenon_H1d1 zenon_H1d2.
% 2.66/2.82 generalize (just77 (c_tptpcol_13_18664)). zenon_intro zenon_H1d3.
% 2.66/2.82 generalize (zenon_H1d3 (c_tptpcol_13_93766)). zenon_intro zenon_H1c6.
% 2.66/2.82 generalize (zenon_H1d3 (c_tptpcol_1_65536)). zenon_intro zenon_H1d4.
% 2.66/2.82 generalize (zenon_H1c6 (c_tptpcol_13_93766)). zenon_intro zenon_H1d5.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1d5); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1c7 ].
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1d7 ].
% 2.66/2.82 generalize (zenon_H1d4 (c_tptpcol_13_93766)). zenon_intro zenon_H1d8.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1d8); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1c7 ].
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H1d9); [ zenon_intro zenon_H1da | zenon_intro zenon_H131 ].
% 2.66/2.82 generalize (just76 (c_tptpcol_1_65536)). zenon_intro zenon_H1db.
% 2.66/2.82 generalize (zenon_H1db (c_tptpcol_13_18664)). zenon_intro zenon_H1dc.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1dc); [ zenon_intro zenon_H1de | zenon_intro zenon_H1dd ].
% 2.66/2.82 exact (zenon_H1de zenon_H1d2).
% 2.66/2.82 exact (zenon_H1da zenon_H1dd).
% 2.66/2.82 apply (zenon_L17_); trivial.
% 2.66/2.82 exact (zenon_H1cc zenon_H1c7).
% 2.66/2.82 exact (zenon_H1d7 zenon_H1d1).
% 2.66/2.82 apply (zenon_L34_); trivial.
% 2.66/2.82 (* end of lemma zenon_L35_ *)
% 2.66/2.82 assert (zenon_L36_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (forall NEW : zenon_U, (((disjointwith (c_tptpcol_1_65536) (c_tptpcol_1_1))/\(genls NEW (c_tptpcol_1_1)))->(disjointwith (c_tptpcol_1_65536) NEW))) -> (~(disjointwith (c_tptpcol_15_93775) (c_tptpcol_13_18664))) -> (genls (c_tptpcol_13_93766) (c_tptpcol_13_93766)) -> False).
% 2.66/2.82 do 0 intro. intros zenon_Ha0 zenon_H1df zenon_H1c8 zenon_H1d1.
% 2.66/2.82 generalize (zenon_H1df (c_tptpcol_13_18664)). zenon_intro zenon_H1e0.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1d2 ].
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e2 ].
% 2.66/2.82 generalize (just76 (c_tptpcol_1_1)). zenon_intro zenon_H1e4.
% 2.66/2.82 generalize (zenon_H1e4 (c_tptpcol_1_65536)). zenon_intro zenon_H1e5.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e6 ].
% 2.66/2.82 exact (zenon_H1e7 just59).
% 2.66/2.82 exact (zenon_H1e3 zenon_H1e6).
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_18664) = (c_tptpcol_2_2)))/\(~(genls (c_tptpcol_13_18664) (c_tptpcol_2_2))))); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e9 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H1eb. zenon_intro zenon_H1ea.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_18664) = (c_tptpcol_3_16386)))/\(~(genls (c_tptpcol_13_18664) (c_tptpcol_3_16386))))); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1ed ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1ef. zenon_intro zenon_H1ee.
% 2.66/2.82 elim (classic ((~((c_tptpcol_13_18664) = (c_tptpcol_4_16387)))/\(~(genls (c_tptpcol_13_18664) (c_tptpcol_4_16387))))); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1f1 ].
% 2.66/2.82 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1f2. zenon_intro zenon_H1a5.
% 2.66/2.82 apply (zenon_L28_); trivial.
% 2.66/2.82 cut ((genls (c_tptpcol_4_16387) (c_tptpcol_3_16386)) = (genls (c_tptpcol_13_18664) (c_tptpcol_3_16386))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H1ee.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just11.
% 2.66/2.82 cut (((c_tptpcol_3_16386) = (c_tptpcol_3_16386))); [idtac | apply NNPP; zenon_intro zenon_H1b2].
% 2.66/2.82 cut (((c_tptpcol_4_16387) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H1f3].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f4 ].
% 2.66/2.82 apply zenon_H1f5. zenon_intro zenon_H1f6.
% 2.66/2.82 elim (classic ((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664)) = ((c_tptpcol_4_16387) = (c_tptpcol_13_18664))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H1f3.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_H15c.
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_4_16387))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H1f2 zenon_H1f6).
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H1f4. zenon_intro zenon_H1b0.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_18664)). zenon_intro zenon_H15e.
% 2.66/2.82 generalize (zenon_H15e (c_tptpcol_4_16387)). zenon_intro zenon_H1f7.
% 2.66/2.82 generalize (zenon_H1f7 (c_tptpcol_3_16386)). zenon_intro zenon_H1f8.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1f9 ].
% 2.66/2.82 exact (zenon_H1a5 zenon_H1b0).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1f9); [ zenon_intro zenon_H1fb | zenon_intro zenon_H1fa ].
% 2.66/2.82 exact (zenon_H1fb just11).
% 2.66/2.82 exact (zenon_H1ee zenon_H1fa).
% 2.66/2.82 apply zenon_H1b2. apply refl_equal.
% 2.66/2.82 cut ((genls (c_tptpcol_3_16386) (c_tptpcol_2_2)) = (genls (c_tptpcol_13_18664) (c_tptpcol_2_2))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H1ea.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just9.
% 2.66/2.82 cut (((c_tptpcol_2_2) = (c_tptpcol_2_2))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 2.66/2.82 cut (((c_tptpcol_3_16386) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H1ed); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1fd ].
% 2.66/2.82 apply zenon_H1fe. zenon_intro zenon_H1ff.
% 2.66/2.82 elim (classic ((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664)) = ((c_tptpcol_3_16386) = (c_tptpcol_13_18664))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H1fc.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_H15c.
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_3_16386))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H1ef zenon_H1ff).
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H1fd. zenon_intro zenon_H1fa.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_18664)). zenon_intro zenon_H15e.
% 2.66/2.82 generalize (zenon_H15e (c_tptpcol_3_16386)). zenon_intro zenon_H200.
% 2.66/2.82 generalize (zenon_H200 (c_tptpcol_2_2)). zenon_intro zenon_H201.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H202 ].
% 2.66/2.82 exact (zenon_H1ee zenon_H1fa).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H202); [ zenon_intro zenon_H204 | zenon_intro zenon_H203 ].
% 2.66/2.82 exact (zenon_H204 just9).
% 2.66/2.82 exact (zenon_H1ea zenon_H203).
% 2.66/2.82 apply zenon_H1b3. apply refl_equal.
% 2.66/2.82 cut ((genls (c_tptpcol_2_2) (c_tptpcol_1_1)) = (genls (c_tptpcol_13_18664) (c_tptpcol_1_1))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H1e2.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact just7.
% 2.66/2.82 cut (((c_tptpcol_1_1) = (c_tptpcol_1_1))); [idtac | apply NNPP; zenon_intro zenon_H1b4].
% 2.66/2.82 cut (((c_tptpcol_2_2) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H205].
% 2.66/2.82 congruence.
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H1e9); [ zenon_intro zenon_H207 | zenon_intro zenon_H206 ].
% 2.66/2.82 apply zenon_H207. zenon_intro zenon_H208.
% 2.66/2.82 elim (classic ((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664)) = ((c_tptpcol_2_2) = (c_tptpcol_13_18664))).
% 2.66/2.82 intro zenon_D_pnotp.
% 2.66/2.82 apply zenon_H205.
% 2.66/2.82 rewrite <- zenon_D_pnotp.
% 2.66/2.82 exact zenon_H15c.
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_13_18664))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 2.66/2.82 cut (((c_tptpcol_13_18664) = (c_tptpcol_2_2))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 2.66/2.82 congruence.
% 2.66/2.82 exact (zenon_H1eb zenon_H208).
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H15d. apply refl_equal.
% 2.66/2.82 apply zenon_H206. zenon_intro zenon_H203.
% 2.66/2.82 generalize (zenon_Ha0 (c_tptpcol_13_18664)). zenon_intro zenon_H15e.
% 2.66/2.82 generalize (zenon_H15e (c_tptpcol_2_2)). zenon_intro zenon_H209.
% 2.66/2.82 generalize (zenon_H209 (c_tptpcol_1_1)). zenon_intro zenon_H20a.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H20a); [ zenon_intro zenon_H1ea | zenon_intro zenon_H20b ].
% 2.66/2.82 exact (zenon_H1ea zenon_H203).
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H20b); [ zenon_intro zenon_H20d | zenon_intro zenon_H20c ].
% 2.66/2.82 exact (zenon_H20d just7).
% 2.66/2.82 exact (zenon_H1e2 zenon_H20c).
% 2.66/2.82 apply zenon_H1b4. apply refl_equal.
% 2.66/2.82 apply (zenon_L35_); trivial.
% 2.66/2.82 (* end of lemma zenon_L36_ *)
% 2.66/2.82 apply NNPP. intro zenon_G.
% 2.66/2.82 elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z))))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H20e ].
% 2.66/2.82 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H20f. zenon_intro zenon_H1c8.
% 2.66/2.82 generalize (just78 (c_tptpcol_1_65536)). zenon_intro zenon_H210.
% 2.66/2.82 generalize (just77 (c_tptpcol_1_65536)). zenon_intro zenon_H211.
% 2.66/2.82 generalize (just75 (c_tptpcol_13_93766)). zenon_intro zenon_H212.
% 2.66/2.82 generalize (zenon_H211 (c_tptpcol_1_1)). zenon_intro zenon_H1df.
% 2.66/2.82 generalize (zenon_H211 (c_tptpcol_2_2)). zenon_intro zenon_H213.
% 2.66/2.82 generalize (just140 (c_tptpcol_13_93766)). zenon_intro zenon_H214.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H214); [ zenon_intro zenon_H215 | zenon_intro zenon_H1d1 ].
% 2.66/2.82 generalize (zenon_H212 (c_tptpcol_3_16386)). zenon_intro zenon_H216.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H216); [ zenon_intro zenon_H218 | zenon_intro zenon_H217 ].
% 2.66/2.82 generalize (zenon_H210 (c_tptpcol_3_16386)). zenon_intro zenon_H219.
% 2.66/2.82 generalize (zenon_H213 (c_tptpcol_3_16386)). zenon_intro zenon_H21a.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H21a); [ zenon_intro zenon_H21c | zenon_intro zenon_H21b ].
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H21c); [ zenon_intro zenon_H21d | zenon_intro zenon_H204 ].
% 2.66/2.82 generalize (zenon_H1df (c_tptpcol_2_2)). zenon_intro zenon_H21e.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H21e); [ zenon_intro zenon_H220 | zenon_intro zenon_H21f ].
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H220); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H20d ].
% 2.66/2.82 generalize (just76 (c_tptpcol_1_1)). zenon_intro zenon_H1e4.
% 2.66/2.82 generalize (zenon_H1e4 (c_tptpcol_1_65536)). zenon_intro zenon_H1e5.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e6 ].
% 2.66/2.82 exact (zenon_H1e7 just59).
% 2.66/2.82 exact (zenon_H1e3 zenon_H1e6).
% 2.66/2.82 exact (zenon_H20d just7).
% 2.66/2.82 exact (zenon_H21d zenon_H21f).
% 2.66/2.82 exact (zenon_H204 just9).
% 2.66/2.82 generalize (zenon_H219 (c_tptpcol_13_93766)). zenon_intro zenon_H221.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H221); [ zenon_intro zenon_H223 | zenon_intro zenon_H222 ].
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H223); [ zenon_intro zenon_H224 | zenon_intro zenon_H131 ].
% 2.66/2.82 exact (zenon_H224 zenon_H21b).
% 2.66/2.82 apply (zenon_L17_); trivial.
% 2.66/2.82 exact (zenon_H218 zenon_H222).
% 2.66/2.82 exact (zenon_H215 zenon_H217).
% 2.66/2.82 apply (zenon_L36_); trivial.
% 2.66/2.82 apply zenon_H20e. zenon_intro zenon_Tx_vd. apply NNPP. zenon_intro zenon_H226.
% 2.66/2.82 apply zenon_H226. zenon_intro zenon_Ty_vf. apply NNPP. zenon_intro zenon_H228.
% 2.66/2.82 apply zenon_H228. zenon_intro zenon_Tz_vh. apply NNPP. zenon_intro zenon_H22a.
% 2.66/2.82 apply (zenon_notimply_s _ _ zenon_H22a). zenon_intro zenon_H22c. zenon_intro zenon_H22b.
% 2.66/2.82 apply (zenon_notimply_s _ _ zenon_H22b). zenon_intro zenon_H22e. zenon_intro zenon_H22d.
% 2.66/2.82 generalize (just139 zenon_Tx_vd). zenon_intro zenon_H22f.
% 2.66/2.82 generalize (zenon_H22f zenon_Ty_vf). zenon_intro zenon_H230.
% 2.66/2.82 generalize (zenon_H230 zenon_Tz_vh). zenon_intro zenon_H231.
% 2.66/2.82 apply (zenon_imply_s _ _ zenon_H231); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ].
% 2.66/2.82 apply (zenon_notand_s _ _ zenon_H233); [ zenon_intro zenon_H235 | zenon_intro zenon_H234 ].
% 2.66/2.82 exact (zenon_H235 zenon_H22c).
% 2.66/2.82 exact (zenon_H234 zenon_H22e).
% 2.66/2.82 exact (zenon_H22d zenon_H232).
% 2.66/2.82 Qed.
% 2.66/2.82 % SZS output end Proof
% 2.66/2.82 (* END-PROOF *)
% 2.66/2.82 nodes searched: 91065
% 2.66/2.82 max branch formulas: 14990
% 2.66/2.82 proof nodes created: 331
% 2.66/2.82 formulas created: 426935
% 2.66/2.82
%------------------------------------------------------------------------------