TSTP Solution File: CSR040+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : CSR040+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 00:02:01 EDT 2022
% Result : Theorem 6.25s 6.45s
% Output : Proof 6.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR040+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 11 15:01:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.25/6.45 (* PROOF-FOUND *)
% 6.25/6.45 % SZS status Theorem
% 6.25/6.45 (* BEGIN-PROOF *)
% 6.25/6.45 % SZS output start Proof
% 6.25/6.45 Theorem query40 : ((mtvisible (f_contentmtofcdafromeventfn (f_urlreferentfn (f_urlfn (s_http_wwwthedailybulletincompostcardsmar9chtm))) (c_translation_14)))->(~(tptpcol_15_109185 (c_tptpcol_16_62187)))).
% 6.25/6.45 Proof.
% 6.25/6.45 assert (zenon_L1_ : (~(fixedordercollection (c_tptpcol_16_62187))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H86.
% 6.25/6.45 generalize (just4 (c_tptpcol_16_62187)). zenon_intro zenon_H87.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H87); [ zenon_intro zenon_H89 | zenon_intro zenon_H88 ].
% 6.25/6.45 exact (zenon_H89 just17).
% 6.25/6.45 exact (zenon_H86 zenon_H88).
% 6.25/6.45 (* end of lemma zenon_L1_ *)
% 6.25/6.45 assert (zenon_L2_ : (~((c_tptpcol_12_109157) = (c_tptpcol_12_109157))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H8a.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L2_ *)
% 6.25/6.45 assert (zenon_L3_ : (~((c_tptpcol_10_109061) = (c_tptpcol_10_109061))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H8b.
% 6.25/6.45 apply zenon_H8b. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L3_ *)
% 6.25/6.45 assert (zenon_L4_ : (~((c_tptpcol_9_109060) = (c_tptpcol_9_109060))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H8c.
% 6.25/6.45 apply zenon_H8c. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L4_ *)
% 6.25/6.45 assert (zenon_L5_ : (~((c_tptpcol_8_109059) = (c_tptpcol_8_109059))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H8d.
% 6.25/6.45 apply zenon_H8d. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L5_ *)
% 6.25/6.45 assert (zenon_L6_ : (~((c_tptpcol_7_108547) = (c_tptpcol_7_108547))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H8e.
% 6.25/6.45 apply zenon_H8e. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L6_ *)
% 6.25/6.45 assert (zenon_L7_ : (~((c_tptpcol_6_108546) = (c_tptpcol_6_108546))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H8f.
% 6.25/6.45 apply zenon_H8f. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L7_ *)
% 6.25/6.45 assert (zenon_L8_ : (~((c_tptpcol_5_106498) = (c_tptpcol_5_106498))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H90.
% 6.25/6.45 apply zenon_H90. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L8_ *)
% 6.25/6.45 assert (zenon_L9_ : (~((c_tptpcol_4_106497) = (c_tptpcol_4_106497))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H91.
% 6.25/6.45 apply zenon_H91. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L9_ *)
% 6.25/6.45 assert (zenon_L10_ : (~((c_tptpcol_3_98305) = (c_tptpcol_3_98305))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H92.
% 6.25/6.45 apply zenon_H92. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L10_ *)
% 6.25/6.45 assert (zenon_L11_ : (~((c_tptpcol_2_98304) = (c_tptpcol_2_98304))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H93.
% 6.25/6.45 apply zenon_H93. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L11_ *)
% 6.25/6.45 assert (zenon_L12_ : (~((c_tptpcol_1_65536) = (c_tptpcol_1_65536))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H94.
% 6.25/6.45 apply zenon_H94. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L12_ *)
% 6.25/6.45 assert (zenon_L13_ : (~((c_tptpcol_0_0) = (c_tptpcol_0_0))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H95.
% 6.25/6.45 apply zenon_H95. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L13_ *)
% 6.25/6.45 assert (zenon_L14_ : (~((c_individual) = (c_individual))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H96.
% 6.25/6.45 apply zenon_H96. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L14_ *)
% 6.25/6.45 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_12_109157) (c_individual))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H97 zenon_H98.
% 6.25/6.45 elim (classic ((~((c_tptpcol_12_109157) = (c_tptpcol_0_0)))/\(~(genls (c_tptpcol_12_109157) (c_tptpcol_0_0))))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 6.25/6.45 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b.
% 6.25/6.45 elim (classic ((~((c_tptpcol_12_109157) = (c_tptpcol_1_65536)))/\(~(genls (c_tptpcol_12_109157) (c_tptpcol_1_65536))))); [ zenon_intro zenon_H9d | zenon_intro zenon_H9e ].
% 6.25/6.45 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 6.25/6.45 elim (classic ((~((c_tptpcol_12_109157) = (c_tptpcol_2_98304)))/\(~(genls (c_tptpcol_12_109157) (c_tptpcol_2_98304))))); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ].
% 6.25/6.45 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3.
% 6.25/6.45 elim (classic ((~((c_tptpcol_12_109157) = (c_tptpcol_3_98305)))/\(~(genls (c_tptpcol_12_109157) (c_tptpcol_3_98305))))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ].
% 6.25/6.45 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha7.
% 6.25/6.45 elim (classic ((~((c_tptpcol_12_109157) = (c_tptpcol_4_106497)))/\(~(genls (c_tptpcol_12_109157) (c_tptpcol_4_106497))))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 6.25/6.45 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hac. zenon_intro zenon_Hab.
% 6.25/6.45 elim (classic ((~((c_tptpcol_12_109157) = (c_tptpcol_5_106498)))/\(~(genls (c_tptpcol_12_109157) (c_tptpcol_5_106498))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 6.25/6.45 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb0. zenon_intro zenon_Haf.
% 6.25/6.45 elim (classic ((~((c_tptpcol_12_109157) = (c_tptpcol_6_108546)))/\(~(genls (c_tptpcol_12_109157) (c_tptpcol_6_108546))))); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ].
% 6.25/6.45 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_Hb4. zenon_intro zenon_Hb3.
% 6.25/6.45 elim (classic ((~((c_tptpcol_12_109157) = (c_tptpcol_7_108547)))/\(~(genls (c_tptpcol_12_109157) (c_tptpcol_7_108547))))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb6 ].
% 6.25/6.45 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7.
% 6.25/6.45 elim (classic ((~((c_tptpcol_12_109157) = (c_tptpcol_8_109059)))/\(~(genls (c_tptpcol_12_109157) (c_tptpcol_8_109059))))); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hba ].
% 6.25/6.45 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hbc. zenon_intro zenon_Hbb.
% 6.25/6.45 elim (classic ((~((c_tptpcol_12_109157) = (c_tptpcol_9_109060)))/\(~(genls (c_tptpcol_12_109157) (c_tptpcol_9_109060))))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 6.25/6.45 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hc0. zenon_intro zenon_Hbf.
% 6.25/6.45 elim (classic ((~((c_tptpcol_12_109157) = (c_tptpcol_10_109061)))/\(~(genls (c_tptpcol_12_109157) (c_tptpcol_10_109061))))); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc2 ].
% 6.25/6.45 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3.
% 6.25/6.45 elim (classic ((~((c_tptpcol_12_109157) = (c_tptpcol_11_109125)))/\(~(genls (c_tptpcol_12_109157) (c_tptpcol_11_109125))))); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc6 ].
% 6.25/6.45 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hc8. zenon_intro zenon_Hc7.
% 6.25/6.45 exact (zenon_Hc7 just40).
% 6.25/6.45 cut ((genls (c_tptpcol_11_109125) (c_tptpcol_10_109061)) = (genls (c_tptpcol_12_109157) (c_tptpcol_10_109061))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Hc3.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact just38.
% 6.25/6.45 cut (((c_tptpcol_10_109061) = (c_tptpcol_10_109061))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 6.25/6.45 cut (((c_tptpcol_11_109125) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 6.25/6.45 congruence.
% 6.25/6.45 apply (zenon_notand_s _ _ zenon_Hc6); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hca ].
% 6.25/6.45 apply zenon_Hcb. zenon_intro zenon_Hcc.
% 6.25/6.45 elim (classic ((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [ zenon_intro zenon_Hcd | zenon_intro zenon_H8a ].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157)) = ((c_tptpcol_11_109125) = (c_tptpcol_12_109157))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Hc9.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact zenon_Hcd.
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_11_109125))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 6.25/6.45 congruence.
% 6.25/6.45 exact (zenon_Hc8 zenon_Hcc).
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_Hca. zenon_intro just40.
% 6.25/6.45 generalize (zenon_H97 (c_tptpcol_12_109157)). zenon_intro zenon_Hce.
% 6.25/6.45 generalize (zenon_Hce (c_tptpcol_11_109125)). zenon_intro zenon_Hcf.
% 6.25/6.45 generalize (zenon_Hcf (c_tptpcol_10_109061)). zenon_intro zenon_Hd0.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_Hd0); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hd1 ].
% 6.25/6.45 exact (zenon_Hc7 just40).
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ].
% 6.25/6.45 exact (zenon_Hd3 just38).
% 6.25/6.45 exact (zenon_Hc3 zenon_Hd2).
% 6.25/6.45 apply zenon_H8b. apply refl_equal.
% 6.25/6.45 cut ((genls (c_tptpcol_10_109061) (c_tptpcol_9_109060)) = (genls (c_tptpcol_12_109157) (c_tptpcol_9_109060))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Hbf.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact just36.
% 6.25/6.45 cut (((c_tptpcol_9_109060) = (c_tptpcol_9_109060))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 6.25/6.45 cut (((c_tptpcol_10_109061) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 6.25/6.45 congruence.
% 6.25/6.45 apply (zenon_notand_s _ _ zenon_Hc2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hd5 ].
% 6.25/6.45 apply zenon_Hd6. zenon_intro zenon_Hd7.
% 6.25/6.45 elim (classic ((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [ zenon_intro zenon_Hcd | zenon_intro zenon_H8a ].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157)) = ((c_tptpcol_10_109061) = (c_tptpcol_12_109157))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Hd4.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact zenon_Hcd.
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_10_109061))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 6.25/6.45 congruence.
% 6.25/6.45 exact (zenon_Hc4 zenon_Hd7).
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_Hd5. zenon_intro zenon_Hd2.
% 6.25/6.45 generalize (zenon_H97 (c_tptpcol_12_109157)). zenon_intro zenon_Hce.
% 6.25/6.45 generalize (zenon_Hce (c_tptpcol_10_109061)). zenon_intro zenon_Hd8.
% 6.25/6.45 generalize (zenon_Hd8 (c_tptpcol_9_109060)). zenon_intro zenon_Hd9.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hda ].
% 6.25/6.45 exact (zenon_Hc3 zenon_Hd2).
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_Hda); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ].
% 6.25/6.45 exact (zenon_Hdc just36).
% 6.25/6.45 exact (zenon_Hbf zenon_Hdb).
% 6.25/6.45 apply zenon_H8c. apply refl_equal.
% 6.25/6.45 cut ((genls (c_tptpcol_9_109060) (c_tptpcol_8_109059)) = (genls (c_tptpcol_12_109157) (c_tptpcol_8_109059))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Hbb.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact just34.
% 6.25/6.45 cut (((c_tptpcol_8_109059) = (c_tptpcol_8_109059))); [idtac | apply NNPP; zenon_intro zenon_H8d].
% 6.25/6.45 cut (((c_tptpcol_9_109060) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 6.25/6.45 congruence.
% 6.25/6.45 apply (zenon_notand_s _ _ zenon_Hbe); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hde ].
% 6.25/6.45 apply zenon_Hdf. zenon_intro zenon_He0.
% 6.25/6.45 elim (classic ((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [ zenon_intro zenon_Hcd | zenon_intro zenon_H8a ].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157)) = ((c_tptpcol_9_109060) = (c_tptpcol_12_109157))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Hdd.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact zenon_Hcd.
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_9_109060))); [idtac | apply NNPP; zenon_intro zenon_Hc0].
% 6.25/6.45 congruence.
% 6.25/6.45 exact (zenon_Hc0 zenon_He0).
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_Hde. zenon_intro zenon_Hdb.
% 6.25/6.45 generalize (zenon_H97 (c_tptpcol_12_109157)). zenon_intro zenon_Hce.
% 6.25/6.45 generalize (zenon_Hce (c_tptpcol_9_109060)). zenon_intro zenon_He1.
% 6.25/6.45 generalize (zenon_He1 (c_tptpcol_8_109059)). zenon_intro zenon_He2.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_He2); [ zenon_intro zenon_Hbf | zenon_intro zenon_He3 ].
% 6.25/6.45 exact (zenon_Hbf zenon_Hdb).
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_He3); [ zenon_intro zenon_He5 | zenon_intro zenon_He4 ].
% 6.25/6.45 exact (zenon_He5 just34).
% 6.25/6.45 exact (zenon_Hbb zenon_He4).
% 6.25/6.45 apply zenon_H8d. apply refl_equal.
% 6.25/6.45 cut ((genls (c_tptpcol_8_109059) (c_tptpcol_7_108547)) = (genls (c_tptpcol_12_109157) (c_tptpcol_7_108547))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Hb7.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact just32.
% 6.25/6.45 cut (((c_tptpcol_7_108547) = (c_tptpcol_7_108547))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 6.25/6.45 cut (((c_tptpcol_8_109059) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 6.25/6.45 congruence.
% 6.25/6.45 apply (zenon_notand_s _ _ zenon_Hba); [ zenon_intro zenon_He8 | zenon_intro zenon_He7 ].
% 6.25/6.45 apply zenon_He8. zenon_intro zenon_He9.
% 6.25/6.45 elim (classic ((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [ zenon_intro zenon_Hcd | zenon_intro zenon_H8a ].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157)) = ((c_tptpcol_8_109059) = (c_tptpcol_12_109157))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_He6.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact zenon_Hcd.
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_8_109059))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 6.25/6.45 congruence.
% 6.25/6.45 exact (zenon_Hbc zenon_He9).
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_He7. zenon_intro zenon_He4.
% 6.25/6.45 generalize (zenon_H97 (c_tptpcol_12_109157)). zenon_intro zenon_Hce.
% 6.25/6.45 generalize (zenon_Hce (c_tptpcol_8_109059)). zenon_intro zenon_Hea.
% 6.25/6.45 generalize (zenon_Hea (c_tptpcol_7_108547)). zenon_intro zenon_Heb.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_Heb); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hec ].
% 6.25/6.45 exact (zenon_Hbb zenon_He4).
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_Hec); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ].
% 6.25/6.45 exact (zenon_Hee just32).
% 6.25/6.45 exact (zenon_Hb7 zenon_Hed).
% 6.25/6.45 apply zenon_H8e. apply refl_equal.
% 6.25/6.45 cut ((genls (c_tptpcol_7_108547) (c_tptpcol_6_108546)) = (genls (c_tptpcol_12_109157) (c_tptpcol_6_108546))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Hb3.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact just30.
% 6.25/6.45 cut (((c_tptpcol_6_108546) = (c_tptpcol_6_108546))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 6.25/6.45 cut (((c_tptpcol_7_108547) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 6.25/6.45 congruence.
% 6.25/6.45 apply (zenon_notand_s _ _ zenon_Hb6); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf0 ].
% 6.25/6.45 apply zenon_Hf1. zenon_intro zenon_Hf2.
% 6.25/6.45 elim (classic ((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [ zenon_intro zenon_Hcd | zenon_intro zenon_H8a ].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157)) = ((c_tptpcol_7_108547) = (c_tptpcol_12_109157))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Hef.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact zenon_Hcd.
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_7_108547))); [idtac | apply NNPP; zenon_intro zenon_Hb8].
% 6.25/6.45 congruence.
% 6.25/6.45 exact (zenon_Hb8 zenon_Hf2).
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_Hf0. zenon_intro zenon_Hed.
% 6.25/6.45 generalize (zenon_H97 (c_tptpcol_12_109157)). zenon_intro zenon_Hce.
% 6.25/6.45 generalize (zenon_Hce (c_tptpcol_7_108547)). zenon_intro zenon_Hf3.
% 6.25/6.45 generalize (zenon_Hf3 (c_tptpcol_6_108546)). zenon_intro zenon_Hf4.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_Hf4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hf5 ].
% 6.25/6.45 exact (zenon_Hb7 zenon_Hed).
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf6 ].
% 6.25/6.45 exact (zenon_Hf7 just30).
% 6.25/6.45 exact (zenon_Hb3 zenon_Hf6).
% 6.25/6.45 apply zenon_H8f. apply refl_equal.
% 6.25/6.45 cut ((genls (c_tptpcol_6_108546) (c_tptpcol_5_106498)) = (genls (c_tptpcol_12_109157) (c_tptpcol_5_106498))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Haf.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact just28.
% 6.25/6.45 cut (((c_tptpcol_5_106498) = (c_tptpcol_5_106498))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 6.25/6.45 cut (((c_tptpcol_6_108546) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 6.25/6.45 congruence.
% 6.25/6.45 apply (zenon_notand_s _ _ zenon_Hb2); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hf9 ].
% 6.25/6.45 apply zenon_Hfa. zenon_intro zenon_Hfb.
% 6.25/6.45 elim (classic ((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [ zenon_intro zenon_Hcd | zenon_intro zenon_H8a ].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157)) = ((c_tptpcol_6_108546) = (c_tptpcol_12_109157))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Hf8.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact zenon_Hcd.
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_6_108546))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 6.25/6.45 congruence.
% 6.25/6.45 exact (zenon_Hb4 zenon_Hfb).
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_Hf9. zenon_intro zenon_Hf6.
% 6.25/6.45 generalize (zenon_H97 (c_tptpcol_12_109157)). zenon_intro zenon_Hce.
% 6.25/6.45 generalize (zenon_Hce (c_tptpcol_6_108546)). zenon_intro zenon_Hfc.
% 6.25/6.45 generalize (zenon_Hfc (c_tptpcol_5_106498)). zenon_intro zenon_Hfd.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_Hfd); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hfe ].
% 6.25/6.45 exact (zenon_Hb3 zenon_Hf6).
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_Hfe); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ].
% 6.25/6.45 exact (zenon_H100 just28).
% 6.25/6.45 exact (zenon_Haf zenon_Hff).
% 6.25/6.45 apply zenon_H90. apply refl_equal.
% 6.25/6.45 cut ((genls (c_tptpcol_5_106498) (c_tptpcol_4_106497)) = (genls (c_tptpcol_12_109157) (c_tptpcol_4_106497))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Hab.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact just26.
% 6.25/6.45 cut (((c_tptpcol_4_106497) = (c_tptpcol_4_106497))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 6.25/6.45 cut (((c_tptpcol_5_106498) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 6.25/6.45 congruence.
% 6.25/6.45 apply (zenon_notand_s _ _ zenon_Hae); [ zenon_intro zenon_H103 | zenon_intro zenon_H102 ].
% 6.25/6.45 apply zenon_H103. zenon_intro zenon_H104.
% 6.25/6.45 elim (classic ((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [ zenon_intro zenon_Hcd | zenon_intro zenon_H8a ].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157)) = ((c_tptpcol_5_106498) = (c_tptpcol_12_109157))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_H101.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact zenon_Hcd.
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_5_106498))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 6.25/6.45 congruence.
% 6.25/6.45 exact (zenon_Hb0 zenon_H104).
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H102. zenon_intro zenon_Hff.
% 6.25/6.45 generalize (zenon_H97 (c_tptpcol_12_109157)). zenon_intro zenon_Hce.
% 6.25/6.45 generalize (zenon_Hce (c_tptpcol_5_106498)). zenon_intro zenon_H105.
% 6.25/6.45 generalize (zenon_H105 (c_tptpcol_4_106497)). zenon_intro zenon_H106.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H106); [ zenon_intro zenon_Haf | zenon_intro zenon_H107 ].
% 6.25/6.45 exact (zenon_Haf zenon_Hff).
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H107); [ zenon_intro zenon_H109 | zenon_intro zenon_H108 ].
% 6.25/6.45 exact (zenon_H109 just26).
% 6.25/6.45 exact (zenon_Hab zenon_H108).
% 6.25/6.45 apply zenon_H91. apply refl_equal.
% 6.25/6.45 cut ((genls (c_tptpcol_4_106497) (c_tptpcol_3_98305)) = (genls (c_tptpcol_12_109157) (c_tptpcol_3_98305))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Ha7.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact just24.
% 6.25/6.45 cut (((c_tptpcol_3_98305) = (c_tptpcol_3_98305))); [idtac | apply NNPP; zenon_intro zenon_H92].
% 6.25/6.45 cut (((c_tptpcol_4_106497) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H10a].
% 6.25/6.45 congruence.
% 6.25/6.45 apply (zenon_notand_s _ _ zenon_Haa); [ zenon_intro zenon_H10c | zenon_intro zenon_H10b ].
% 6.25/6.45 apply zenon_H10c. zenon_intro zenon_H10d.
% 6.25/6.45 elim (classic ((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [ zenon_intro zenon_Hcd | zenon_intro zenon_H8a ].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157)) = ((c_tptpcol_4_106497) = (c_tptpcol_12_109157))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_H10a.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact zenon_Hcd.
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_4_106497))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 6.25/6.45 congruence.
% 6.25/6.45 exact (zenon_Hac zenon_H10d).
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H10b. zenon_intro zenon_H108.
% 6.25/6.45 generalize (zenon_H97 (c_tptpcol_12_109157)). zenon_intro zenon_Hce.
% 6.25/6.45 generalize (zenon_Hce (c_tptpcol_4_106497)). zenon_intro zenon_H10e.
% 6.25/6.45 generalize (zenon_H10e (c_tptpcol_3_98305)). zenon_intro zenon_H10f.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H10f); [ zenon_intro zenon_Hab | zenon_intro zenon_H110 ].
% 6.25/6.45 exact (zenon_Hab zenon_H108).
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H110); [ zenon_intro zenon_H112 | zenon_intro zenon_H111 ].
% 6.25/6.45 exact (zenon_H112 just24).
% 6.25/6.45 exact (zenon_Ha7 zenon_H111).
% 6.25/6.45 apply zenon_H92. apply refl_equal.
% 6.25/6.45 cut ((genls (c_tptpcol_3_98305) (c_tptpcol_2_98304)) = (genls (c_tptpcol_12_109157) (c_tptpcol_2_98304))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_Ha3.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact just22.
% 6.25/6.45 cut (((c_tptpcol_2_98304) = (c_tptpcol_2_98304))); [idtac | apply NNPP; zenon_intro zenon_H93].
% 6.25/6.45 cut (((c_tptpcol_3_98305) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H113].
% 6.25/6.45 congruence.
% 6.25/6.45 apply (zenon_notand_s _ _ zenon_Ha6); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ].
% 6.25/6.45 apply zenon_H115. zenon_intro zenon_H116.
% 6.25/6.45 elim (classic ((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [ zenon_intro zenon_Hcd | zenon_intro zenon_H8a ].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157)) = ((c_tptpcol_3_98305) = (c_tptpcol_12_109157))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_H113.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact zenon_Hcd.
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_3_98305))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 6.25/6.45 congruence.
% 6.25/6.45 exact (zenon_Ha8 zenon_H116).
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H114. zenon_intro zenon_H111.
% 6.25/6.45 generalize (zenon_H97 (c_tptpcol_12_109157)). zenon_intro zenon_Hce.
% 6.25/6.45 generalize (zenon_Hce (c_tptpcol_3_98305)). zenon_intro zenon_H117.
% 6.25/6.45 generalize (zenon_H117 (c_tptpcol_2_98304)). zenon_intro zenon_H118.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H118); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H119 ].
% 6.25/6.45 exact (zenon_Ha7 zenon_H111).
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H119); [ zenon_intro zenon_H11b | zenon_intro zenon_H11a ].
% 6.25/6.45 exact (zenon_H11b just22).
% 6.25/6.45 exact (zenon_Ha3 zenon_H11a).
% 6.25/6.45 apply zenon_H93. apply refl_equal.
% 6.25/6.45 cut ((genls (c_tptpcol_2_98304) (c_tptpcol_1_65536)) = (genls (c_tptpcol_12_109157) (c_tptpcol_1_65536))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_H9f.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact just20.
% 6.25/6.45 cut (((c_tptpcol_1_65536) = (c_tptpcol_1_65536))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 6.25/6.45 cut (((c_tptpcol_2_98304) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 6.25/6.45 congruence.
% 6.25/6.45 apply (zenon_notand_s _ _ zenon_Ha2); [ zenon_intro zenon_H11e | zenon_intro zenon_H11d ].
% 6.25/6.45 apply zenon_H11e. zenon_intro zenon_H11f.
% 6.25/6.45 elim (classic ((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [ zenon_intro zenon_Hcd | zenon_intro zenon_H8a ].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157)) = ((c_tptpcol_2_98304) = (c_tptpcol_12_109157))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_H11c.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact zenon_Hcd.
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_2_98304))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 6.25/6.45 congruence.
% 6.25/6.45 exact (zenon_Ha4 zenon_H11f).
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H11d. zenon_intro zenon_H11a.
% 6.25/6.45 generalize (zenon_H97 (c_tptpcol_12_109157)). zenon_intro zenon_Hce.
% 6.25/6.45 generalize (zenon_Hce (c_tptpcol_2_98304)). zenon_intro zenon_H120.
% 6.25/6.45 generalize (zenon_H120 (c_tptpcol_1_65536)). zenon_intro zenon_H121.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H121); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H122 ].
% 6.25/6.45 exact (zenon_Ha3 zenon_H11a).
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H122); [ zenon_intro zenon_H124 | zenon_intro zenon_H123 ].
% 6.25/6.45 exact (zenon_H124 just20).
% 6.25/6.45 exact (zenon_H9f zenon_H123).
% 6.25/6.45 apply zenon_H94. apply refl_equal.
% 6.25/6.45 cut ((genls (c_tptpcol_1_65536) (c_tptpcol_0_0)) = (genls (c_tptpcol_12_109157) (c_tptpcol_0_0))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_H9b.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact just18.
% 6.25/6.45 cut (((c_tptpcol_0_0) = (c_tptpcol_0_0))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 6.25/6.45 cut (((c_tptpcol_1_65536) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H125].
% 6.25/6.45 congruence.
% 6.25/6.45 apply (zenon_notand_s _ _ zenon_H9e); [ zenon_intro zenon_H127 | zenon_intro zenon_H126 ].
% 6.25/6.45 apply zenon_H127. zenon_intro zenon_H128.
% 6.25/6.45 elim (classic ((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [ zenon_intro zenon_Hcd | zenon_intro zenon_H8a ].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157)) = ((c_tptpcol_1_65536) = (c_tptpcol_12_109157))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_H125.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact zenon_Hcd.
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_1_65536))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 6.25/6.45 congruence.
% 6.25/6.45 exact (zenon_Ha0 zenon_H128).
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H126. zenon_intro zenon_H123.
% 6.25/6.45 generalize (zenon_H97 (c_tptpcol_12_109157)). zenon_intro zenon_Hce.
% 6.25/6.45 generalize (zenon_Hce (c_tptpcol_1_65536)). zenon_intro zenon_H129.
% 6.25/6.45 generalize (zenon_H129 (c_tptpcol_0_0)). zenon_intro zenon_H12a.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H12a); [ zenon_intro zenon_H9f | zenon_intro zenon_H12b ].
% 6.25/6.45 exact (zenon_H9f zenon_H123).
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H12b); [ zenon_intro zenon_H12d | zenon_intro zenon_H12c ].
% 6.25/6.45 exact (zenon_H12d just18).
% 6.25/6.45 exact (zenon_H9b zenon_H12c).
% 6.25/6.45 apply zenon_H95. apply refl_equal.
% 6.25/6.45 cut ((genls (c_tptpcol_0_0) (c_individual)) = (genls (c_tptpcol_12_109157) (c_individual))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_H98.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact just15.
% 6.25/6.45 cut (((c_individual) = (c_individual))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 6.25/6.45 cut (((c_tptpcol_0_0) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H12e].
% 6.25/6.45 congruence.
% 6.25/6.45 apply (zenon_notand_s _ _ zenon_H9a); [ zenon_intro zenon_H130 | zenon_intro zenon_H12f ].
% 6.25/6.45 apply zenon_H130. zenon_intro zenon_H131.
% 6.25/6.45 elim (classic ((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [ zenon_intro zenon_Hcd | zenon_intro zenon_H8a ].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157)) = ((c_tptpcol_0_0) = (c_tptpcol_12_109157))).
% 6.25/6.45 intro zenon_D_pnotp.
% 6.25/6.45 apply zenon_H12e.
% 6.25/6.45 rewrite <- zenon_D_pnotp.
% 6.25/6.45 exact zenon_Hcd.
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.45 cut (((c_tptpcol_12_109157) = (c_tptpcol_0_0))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 6.25/6.45 congruence.
% 6.25/6.45 exact (zenon_H9c zenon_H131).
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H8a. apply refl_equal.
% 6.25/6.45 apply zenon_H12f. zenon_intro zenon_H12c.
% 6.25/6.45 generalize (zenon_H97 (c_tptpcol_12_109157)). zenon_intro zenon_Hce.
% 6.25/6.45 generalize (zenon_Hce (c_tptpcol_0_0)). zenon_intro zenon_H132.
% 6.25/6.45 generalize (zenon_H132 (c_individual)). zenon_intro zenon_H133.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H133); [ zenon_intro zenon_H9b | zenon_intro zenon_H134 ].
% 6.25/6.45 exact (zenon_H9b zenon_H12c).
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H134); [ zenon_intro zenon_H136 | zenon_intro zenon_H135 ].
% 6.25/6.45 exact (zenon_H136 just15).
% 6.25/6.45 exact (zenon_H98 zenon_H135).
% 6.25/6.45 apply zenon_H96. apply refl_equal.
% 6.25/6.45 (* end of lemma zenon_L15_ *)
% 6.25/6.45 assert (zenon_L16_ : (isa (c_tptpcol_16_62187) (c_individual)) -> (~(individual (c_tptpcol_16_62187))) -> False).
% 6.25/6.45 do 0 intro. intros zenon_H137 zenon_H138.
% 6.25/6.45 generalize (just95 (c_tptpcol_16_62187)). zenon_intro zenon_H139.
% 6.25/6.45 apply (zenon_imply_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ].
% 6.25/6.46 exact (zenon_H13b zenon_H137).
% 6.25/6.46 exact (zenon_H138 zenon_H13a).
% 6.25/6.46 (* end of lemma zenon_L16_ *)
% 6.25/6.46 assert (zenon_L17_ : (collection (c_tptpcol_16_62187)) -> (isa (c_tptpcol_16_62187) (c_individual)) -> False).
% 6.25/6.46 do 0 intro. intros zenon_H13c zenon_H137.
% 6.25/6.46 generalize (just9 (c_tptpcol_16_62187)). zenon_intro zenon_H13d.
% 6.25/6.46 apply (zenon_notand_s _ _ zenon_H13d); [ zenon_intro zenon_H13e | zenon_intro zenon_H138 ].
% 6.25/6.46 exact (zenon_H13e zenon_H13c).
% 6.25/6.46 apply (zenon_L16_); trivial.
% 6.25/6.46 (* end of lemma zenon_L17_ *)
% 6.25/6.46 assert (zenon_L18_ : (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, (((isa (c_tptpcol_16_62187) (c_tptpcol_12_109157))/\(genls (c_tptpcol_12_109157) NEW))->(isa (c_tptpcol_16_62187) NEW))) -> (isa (c_tptpcol_16_62187) (c_tptpcol_12_109157)) -> (collection (c_tptpcol_16_62187)) -> False).
% 6.25/6.46 do 0 intro. intros zenon_H97 zenon_H13f zenon_H140 zenon_H13c.
% 6.25/6.46 generalize (zenon_H13f (c_individual)). zenon_intro zenon_H141.
% 6.25/6.46 apply (zenon_imply_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H137 ].
% 6.25/6.46 apply (zenon_notand_s _ _ zenon_H142); [ zenon_intro zenon_H143 | zenon_intro zenon_H98 ].
% 6.25/6.46 exact (zenon_H143 zenon_H140).
% 6.25/6.46 apply (zenon_L15_); trivial.
% 6.25/6.46 apply (zenon_L17_); trivial.
% 6.25/6.46 (* end of lemma zenon_L18_ *)
% 6.25/6.46 assert (zenon_L19_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (forall OLD : zenon_U, (forall NEW : zenon_U, (((isa (c_tptpcol_16_62187) OLD)/\(genls OLD NEW))->(isa (c_tptpcol_16_62187) NEW)))) -> (collection (c_tptpcol_16_62187)) -> (tptpcol_15_109185 (c_tptpcol_16_62187)) -> False).
% 6.25/6.46 do 0 intro. intros zenon_H97 zenon_H144 zenon_H13c zenon_H145.
% 6.25/6.46 generalize (zenon_H144 (c_tptpcol_15_109185)). zenon_intro zenon_H146.
% 6.25/6.46 generalize (zenon_H144 (c_tptpcol_14_109181)). zenon_intro zenon_H147.
% 6.25/6.46 generalize (zenon_H144 (c_tptpcol_12_109157)). zenon_intro zenon_H13f.
% 6.25/6.46 generalize (zenon_H147 (c_tptpcol_12_109157)). zenon_intro zenon_H148.
% 6.25/6.46 apply (zenon_imply_s _ _ zenon_H148); [ zenon_intro zenon_H149 | zenon_intro zenon_H140 ].
% 6.25/6.46 apply (zenon_notand_s _ _ zenon_H149); [ zenon_intro zenon_H14b | zenon_intro zenon_H14a ].
% 6.25/6.46 generalize (just62 (c_tptpcol_16_62187)). zenon_intro zenon_H14c.
% 6.25/6.46 apply (zenon_imply_s _ _ zenon_H14c); [ zenon_intro zenon_H14e | zenon_intro zenon_H14d ].
% 6.25/6.46 exact (zenon_H14e zenon_H145).
% 6.25/6.46 generalize (zenon_H146 (c_tptpcol_14_109181)). zenon_intro zenon_H14f.
% 6.25/6.46 apply (zenon_imply_s _ _ zenon_H14f); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ].
% 6.25/6.46 apply (zenon_notand_s _ _ zenon_H151); [ zenon_intro zenon_H153 | zenon_intro zenon_H152 ].
% 6.25/6.46 exact (zenon_H153 zenon_H14d).
% 6.25/6.46 exact (zenon_H152 just46).
% 6.25/6.46 exact (zenon_H14b zenon_H150).
% 6.25/6.46 elim (classic ((~((c_tptpcol_14_109181) = (c_tptpcol_13_109173)))/\(~(genls (c_tptpcol_14_109181) (c_tptpcol_13_109173))))); [ zenon_intro zenon_H154 | zenon_intro zenon_H155 ].
% 6.25/6.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H157. zenon_intro zenon_H156.
% 6.25/6.46 exact (zenon_H156 just44).
% 6.25/6.46 cut ((genls (c_tptpcol_13_109173) (c_tptpcol_12_109157)) = (genls (c_tptpcol_14_109181) (c_tptpcol_12_109157))).
% 6.25/6.46 intro zenon_D_pnotp.
% 6.25/6.46 apply zenon_H14a.
% 6.25/6.46 rewrite <- zenon_D_pnotp.
% 6.25/6.46 exact just42.
% 6.25/6.46 cut (((c_tptpcol_12_109157) = (c_tptpcol_12_109157))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 6.25/6.46 cut (((c_tptpcol_13_109173) = (c_tptpcol_14_109181))); [idtac | apply NNPP; zenon_intro zenon_H158].
% 6.25/6.46 congruence.
% 6.25/6.46 apply (zenon_notand_s _ _ zenon_H155); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ].
% 6.25/6.46 apply zenon_H15a. zenon_intro zenon_H15b.
% 6.25/6.46 elim (classic ((c_tptpcol_14_109181) = (c_tptpcol_14_109181))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 6.25/6.46 cut (((c_tptpcol_14_109181) = (c_tptpcol_14_109181)) = ((c_tptpcol_13_109173) = (c_tptpcol_14_109181))).
% 6.25/6.46 intro zenon_D_pnotp.
% 6.25/6.46 apply zenon_H158.
% 6.25/6.46 rewrite <- zenon_D_pnotp.
% 6.25/6.46 exact zenon_H15c.
% 6.25/6.46 cut (((c_tptpcol_14_109181) = (c_tptpcol_14_109181))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 6.25/6.46 cut (((c_tptpcol_14_109181) = (c_tptpcol_13_109173))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 6.25/6.46 congruence.
% 6.25/6.46 exact (zenon_H157 zenon_H15b).
% 6.25/6.46 apply zenon_H15d. apply refl_equal.
% 6.25/6.46 apply zenon_H15d. apply refl_equal.
% 6.25/6.46 apply zenon_H159. zenon_intro just44.
% 6.25/6.46 generalize (zenon_H97 (c_tptpcol_14_109181)). zenon_intro zenon_H15e.
% 6.25/6.46 generalize (zenon_H15e (c_tptpcol_13_109173)). zenon_intro zenon_H15f.
% 6.25/6.46 generalize (zenon_H15f (c_tptpcol_12_109157)). zenon_intro zenon_H160.
% 6.25/6.46 apply (zenon_imply_s _ _ zenon_H160); [ zenon_intro zenon_H156 | zenon_intro zenon_H161 ].
% 6.25/6.46 exact (zenon_H156 just44).
% 6.25/6.46 apply (zenon_imply_s _ _ zenon_H161); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ].
% 6.25/6.46 exact (zenon_H163 just42).
% 6.25/6.46 exact (zenon_H14a zenon_H162).
% 6.25/6.46 apply zenon_H8a. apply refl_equal.
% 6.25/6.46 apply (zenon_L18_); trivial.
% 6.25/6.46 (* end of lemma zenon_L19_ *)
% 6.25/6.46 apply NNPP. intro zenon_G.
% 6.25/6.46 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_H97 | zenon_intro zenon_H164 ].
% 6.25/6.46 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H166. zenon_intro zenon_H165.
% 6.25/6.46 apply zenon_H165. zenon_intro zenon_H145.
% 6.25/6.46 generalize (just122 (c_tptpcol_16_62187)). zenon_intro zenon_H167.
% 6.25/6.46 apply (zenon_imply_s _ _ zenon_H167); [ zenon_intro zenon_H13e | zenon_intro zenon_H168 ].
% 6.25/6.46 generalize (just14 (c_tptpcol_16_62187)). zenon_intro zenon_H169.
% 6.25/6.46 apply (zenon_imply_s _ _ zenon_H169); [ zenon_intro zenon_H86 | zenon_intro zenon_H13c ].
% 6.25/6.46 apply (zenon_L1_); trivial.
% 6.25/6.46 exact (zenon_H13e zenon_H13c).
% 6.25/6.46 generalize (just111 (c_tptpcol_16_62187)). zenon_intro zenon_H144.
% 6.25/6.46 generalize (just119 (c_tptpcol_16_62187)). zenon_intro zenon_H16a.
% 6.25/6.46 generalize (zenon_H16a (c_tptpcol_16_62187)). zenon_intro zenon_H16b.
% 6.25/6.46 apply (zenon_imply_s _ _ zenon_H16b); [ zenon_intro zenon_H16c | zenon_intro zenon_H13c ].
% 6.25/6.46 exact (zenon_H16c zenon_H168).
% 6.25/6.46 apply (zenon_L19_); trivial.
% 6.25/6.46 apply zenon_H164. zenon_intro zenon_Tx_ob. apply NNPP. zenon_intro zenon_H16e.
% 6.25/6.46 apply zenon_H16e. zenon_intro zenon_Ty_od. apply NNPP. zenon_intro zenon_H170.
% 6.25/6.46 apply zenon_H170. zenon_intro zenon_Tz_of. apply NNPP. zenon_intro zenon_H172.
% 6.25/6.46 apply (zenon_notimply_s _ _ zenon_H172). zenon_intro zenon_H174. zenon_intro zenon_H173.
% 6.25/6.46 apply (zenon_notimply_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175.
% 6.25/6.46 generalize (just121 zenon_Tx_ob). zenon_intro zenon_H177.
% 6.25/6.46 generalize (zenon_H177 zenon_Ty_od). zenon_intro zenon_H178.
% 6.25/6.46 generalize (zenon_H178 zenon_Tz_of). zenon_intro zenon_H179.
% 6.25/6.46 apply (zenon_imply_s _ _ zenon_H179); [ zenon_intro zenon_H17b | zenon_intro zenon_H17a ].
% 6.25/6.46 apply (zenon_notand_s _ _ zenon_H17b); [ zenon_intro zenon_H17d | zenon_intro zenon_H17c ].
% 6.25/6.46 exact (zenon_H17d zenon_H174).
% 6.25/6.46 exact (zenon_H17c zenon_H176).
% 6.25/6.46 exact (zenon_H175 zenon_H17a).
% 6.25/6.46 Qed.
% 6.25/6.46 % SZS output end Proof
% 6.25/6.46 (* END-PROOF *)
% 6.25/6.46 nodes searched: 288073
% 6.25/6.46 max branch formulas: 16076
% 6.25/6.46 proof nodes created: 1073
% 6.25/6.46 formulas created: 920706
% 6.25/6.46
%------------------------------------------------------------------------------