TSTP Solution File: CSR036+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : CSR036+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n009.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 00:01:57 EDT 2022
% Result : Theorem 0.85s 1.03s
% Output : Proof 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : CSR036+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.15 % Command : run_zenon %s %d
% 0.15/0.37 % Computer : n009.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sat Jun 11 13:34:38 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.85/1.03 (* PROOF-FOUND *)
% 0.85/1.03 % SZS status Theorem
% 0.85/1.03 (* BEGIN-PROOF *)
% 0.85/1.03 % SZS output start Proof
% 0.85/1.03 Theorem query36 : ((mtvisible (c_tptp_member974_mt))->(disjointwith (c_tptpcol_15_22076) (c_tptpcol_16_72795))).
% 0.85/1.03 Proof.
% 0.85/1.03 assert (zenon_L1_ : (~((c_tptpcol_12_72775) = (c_tptpcol_12_72775))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Ha2.
% 0.85/1.03 apply zenon_Ha2. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L1_ *)
% 0.85/1.03 assert (zenon_L2_ : (~((c_tptpcol_11_72774) = (c_tptpcol_11_72774))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Ha3.
% 0.85/1.03 apply zenon_Ha3. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L2_ *)
% 0.85/1.03 assert (zenon_L3_ : (~((c_tptpcol_10_72710) = (c_tptpcol_10_72710))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Ha4.
% 0.85/1.03 apply zenon_Ha4. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L3_ *)
% 0.85/1.03 assert (zenon_L4_ : (~((c_tptpcol_9_72709) = (c_tptpcol_9_72709))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Ha5.
% 0.85/1.03 apply zenon_Ha5. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L4_ *)
% 0.85/1.03 assert (zenon_L5_ : (~((c_tptpcol_8_72708) = (c_tptpcol_8_72708))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Ha6.
% 0.85/1.03 apply zenon_Ha6. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L5_ *)
% 0.85/1.03 assert (zenon_L6_ : (~((c_tptpcol_7_72707) = (c_tptpcol_7_72707))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Ha7.
% 0.85/1.03 apply zenon_Ha7. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L6_ *)
% 0.85/1.03 assert (zenon_L7_ : (~((c_tptpcol_6_71683) = (c_tptpcol_6_71683))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Ha8.
% 0.85/1.03 apply zenon_Ha8. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L7_ *)
% 0.85/1.03 assert (zenon_L8_ : (~((c_tptpcol_5_69635) = (c_tptpcol_5_69635))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Ha9.
% 0.85/1.03 apply zenon_Ha9. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L8_ *)
% 0.85/1.03 assert (zenon_L9_ : (~((c_tptpcol_4_65539) = (c_tptpcol_4_65539))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Haa.
% 0.85/1.03 apply zenon_Haa. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L9_ *)
% 0.85/1.03 assert (zenon_L10_ : (~((c_tptpcol_3_65538) = (c_tptpcol_3_65538))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Hab.
% 0.85/1.03 apply zenon_Hab. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L10_ *)
% 0.85/1.03 assert (zenon_L11_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(genls (c_tptpcol_14_72792) (c_tptpcol_3_65538))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Hac zenon_Had.
% 0.85/1.03 elim (classic ((~((c_tptpcol_14_72792) = (c_tptpcol_4_65539)))/\(~(genls (c_tptpcol_14_72792) (c_tptpcol_4_65539))))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0.
% 0.85/1.03 elim (classic ((~((c_tptpcol_14_72792) = (c_tptpcol_5_69635)))/\(~(genls (c_tptpcol_14_72792) (c_tptpcol_5_69635))))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4.
% 0.85/1.03 elim (classic ((~((c_tptpcol_14_72792) = (c_tptpcol_6_71683)))/\(~(genls (c_tptpcol_14_72792) (c_tptpcol_6_71683))))); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb7 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hb9. zenon_intro zenon_Hb8.
% 0.85/1.03 elim (classic ((~((c_tptpcol_14_72792) = (c_tptpcol_7_72707)))/\(~(genls (c_tptpcol_14_72792) (c_tptpcol_7_72707))))); [ zenon_intro zenon_Hba | zenon_intro zenon_Hbb ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbd. zenon_intro zenon_Hbc.
% 0.85/1.03 elim (classic ((~((c_tptpcol_14_72792) = (c_tptpcol_8_72708)))/\(~(genls (c_tptpcol_14_72792) (c_tptpcol_8_72708))))); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hbf ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hc1. zenon_intro zenon_Hc0.
% 0.85/1.03 elim (classic ((~((c_tptpcol_14_72792) = (c_tptpcol_9_72709)))/\(~(genls (c_tptpcol_14_72792) (c_tptpcol_9_72709))))); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc3 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4.
% 0.85/1.03 elim (classic ((~((c_tptpcol_14_72792) = (c_tptpcol_10_72710)))/\(~(genls (c_tptpcol_14_72792) (c_tptpcol_10_72710))))); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc7 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8.
% 0.85/1.03 elim (classic ((~((c_tptpcol_14_72792) = (c_tptpcol_11_72774)))/\(~(genls (c_tptpcol_14_72792) (c_tptpcol_11_72774))))); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hcd. zenon_intro zenon_Hcc.
% 0.85/1.03 elim (classic ((~((c_tptpcol_14_72792) = (c_tptpcol_12_72775)))/\(~(genls (c_tptpcol_14_72792) (c_tptpcol_12_72775))))); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcf ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd1. zenon_intro zenon_Hd0.
% 0.85/1.03 elim (classic ((~((c_tptpcol_14_72792) = (c_tptpcol_13_72791)))/\(~(genls (c_tptpcol_14_72792) (c_tptpcol_13_72791))))); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd3 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hd5. zenon_intro zenon_Hd4.
% 0.85/1.03 exact (zenon_Hd4 just58).
% 0.85/1.03 cut ((genls (c_tptpcol_13_72791) (c_tptpcol_12_72775)) = (genls (c_tptpcol_14_72792) (c_tptpcol_12_72775))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Hd0.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just56.
% 0.85/1.03 cut (((c_tptpcol_12_72775) = (c_tptpcol_12_72775))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 0.85/1.03 cut (((c_tptpcol_13_72791) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_Hd3); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ].
% 0.85/1.03 apply zenon_Hd8. zenon_intro zenon_Hd9.
% 0.85/1.03 elim (classic ((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792)) = ((c_tptpcol_13_72791) = (c_tptpcol_14_72792))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Hd6.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_Hda.
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_13_72791))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_Hd5 zenon_Hd9).
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hd7. zenon_intro just58.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_14_72792)). zenon_intro zenon_Hdc.
% 0.85/1.03 generalize (zenon_Hdc (c_tptpcol_13_72791)). zenon_intro zenon_Hdd.
% 0.85/1.03 generalize (zenon_Hdd (c_tptpcol_12_72775)). zenon_intro zenon_Hde.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_Hde); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hdf ].
% 0.85/1.03 exact (zenon_Hd4 just58).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_He1 | zenon_intro zenon_He0 ].
% 0.85/1.03 exact (zenon_He1 just56).
% 0.85/1.03 exact (zenon_Hd0 zenon_He0).
% 0.85/1.03 apply zenon_Ha2. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_12_72775) (c_tptpcol_11_72774)) = (genls (c_tptpcol_14_72792) (c_tptpcol_11_72774))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Hcc.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just54.
% 0.85/1.03 cut (((c_tptpcol_11_72774) = (c_tptpcol_11_72774))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 0.85/1.03 cut (((c_tptpcol_12_72775) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_He2].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_Hcf); [ zenon_intro zenon_He4 | zenon_intro zenon_He3 ].
% 0.85/1.03 apply zenon_He4. zenon_intro zenon_He5.
% 0.85/1.03 elim (classic ((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792)) = ((c_tptpcol_12_72775) = (c_tptpcol_14_72792))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_He2.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_Hda.
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_12_72775))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_Hd1 zenon_He5).
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_He3. zenon_intro zenon_He0.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_14_72792)). zenon_intro zenon_Hdc.
% 0.85/1.03 generalize (zenon_Hdc (c_tptpcol_12_72775)). zenon_intro zenon_He6.
% 0.85/1.03 generalize (zenon_He6 (c_tptpcol_11_72774)). zenon_intro zenon_He7.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_He7); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He8 ].
% 0.85/1.03 exact (zenon_Hd0 zenon_He0).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_He8); [ zenon_intro zenon_Hea | zenon_intro zenon_He9 ].
% 0.85/1.03 exact (zenon_Hea just54).
% 0.85/1.03 exact (zenon_Hcc zenon_He9).
% 0.85/1.03 apply zenon_Ha3. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_11_72774) (c_tptpcol_10_72710)) = (genls (c_tptpcol_14_72792) (c_tptpcol_10_72710))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Hc8.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just52.
% 0.85/1.03 cut (((c_tptpcol_10_72710) = (c_tptpcol_10_72710))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 0.85/1.03 cut (((c_tptpcol_11_72774) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_Hcb); [ zenon_intro zenon_Hed | zenon_intro zenon_Hec ].
% 0.85/1.03 apply zenon_Hed. zenon_intro zenon_Hee.
% 0.85/1.03 elim (classic ((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792)) = ((c_tptpcol_11_72774) = (c_tptpcol_14_72792))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Heb.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_Hda.
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_11_72774))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_Hcd zenon_Hee).
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hec. zenon_intro zenon_He9.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_14_72792)). zenon_intro zenon_Hdc.
% 0.85/1.03 generalize (zenon_Hdc (c_tptpcol_11_72774)). zenon_intro zenon_Hef.
% 0.85/1.03 generalize (zenon_Hef (c_tptpcol_10_72710)). zenon_intro zenon_Hf0.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_Hf0); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hf1 ].
% 0.85/1.03 exact (zenon_Hcc zenon_He9).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_Hf1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hf2 ].
% 0.85/1.03 exact (zenon_Hf3 just52).
% 0.85/1.03 exact (zenon_Hc8 zenon_Hf2).
% 0.85/1.03 apply zenon_Ha4. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_10_72710) (c_tptpcol_9_72709)) = (genls (c_tptpcol_14_72792) (c_tptpcol_9_72709))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Hc4.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just50.
% 0.85/1.03 cut (((c_tptpcol_9_72709) = (c_tptpcol_9_72709))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 0.85/1.03 cut (((c_tptpcol_10_72710) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hf4].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_Hc7); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hf5 ].
% 0.85/1.03 apply zenon_Hf6. zenon_intro zenon_Hf7.
% 0.85/1.03 elim (classic ((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792)) = ((c_tptpcol_10_72710) = (c_tptpcol_14_72792))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Hf4.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_Hda.
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_10_72710))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_Hc9 zenon_Hf7).
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hf5. zenon_intro zenon_Hf2.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_14_72792)). zenon_intro zenon_Hdc.
% 0.85/1.03 generalize (zenon_Hdc (c_tptpcol_10_72710)). zenon_intro zenon_Hf8.
% 0.85/1.03 generalize (zenon_Hf8 (c_tptpcol_9_72709)). zenon_intro zenon_Hf9.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_Hf9); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfa ].
% 0.85/1.03 exact (zenon_Hc8 zenon_Hf2).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_Hfa); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ].
% 0.85/1.03 exact (zenon_Hfc just50).
% 0.85/1.03 exact (zenon_Hc4 zenon_Hfb).
% 0.85/1.03 apply zenon_Ha5. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_9_72709) (c_tptpcol_8_72708)) = (genls (c_tptpcol_14_72792) (c_tptpcol_8_72708))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Hc0.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just48.
% 0.85/1.03 cut (((c_tptpcol_8_72708) = (c_tptpcol_8_72708))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 0.85/1.03 cut (((c_tptpcol_9_72709) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hfd].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_Hc3); [ zenon_intro zenon_Hff | zenon_intro zenon_Hfe ].
% 0.85/1.03 apply zenon_Hff. zenon_intro zenon_H100.
% 0.85/1.03 elim (classic ((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792)) = ((c_tptpcol_9_72709) = (c_tptpcol_14_72792))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Hfd.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_Hda.
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_9_72709))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_Hc5 zenon_H100).
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hfe. zenon_intro zenon_Hfb.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_14_72792)). zenon_intro zenon_Hdc.
% 0.85/1.03 generalize (zenon_Hdc (c_tptpcol_9_72709)). zenon_intro zenon_H101.
% 0.85/1.03 generalize (zenon_H101 (c_tptpcol_8_72708)). zenon_intro zenon_H102.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H102); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H103 ].
% 0.85/1.03 exact (zenon_Hc4 zenon_Hfb).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H103); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 0.85/1.03 exact (zenon_H105 just48).
% 0.85/1.03 exact (zenon_Hc0 zenon_H104).
% 0.85/1.03 apply zenon_Ha6. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_8_72708) (c_tptpcol_7_72707)) = (genls (c_tptpcol_14_72792) (c_tptpcol_7_72707))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Hbc.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just46.
% 0.85/1.03 cut (((c_tptpcol_7_72707) = (c_tptpcol_7_72707))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 0.85/1.03 cut (((c_tptpcol_8_72708) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_Hbf); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ].
% 0.85/1.03 apply zenon_H108. zenon_intro zenon_H109.
% 0.85/1.03 elim (classic ((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792)) = ((c_tptpcol_8_72708) = (c_tptpcol_14_72792))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H106.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_Hda.
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_8_72708))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_Hc1 zenon_H109).
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_H107. zenon_intro zenon_H104.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_14_72792)). zenon_intro zenon_Hdc.
% 0.85/1.03 generalize (zenon_Hdc (c_tptpcol_8_72708)). zenon_intro zenon_H10a.
% 0.85/1.03 generalize (zenon_H10a (c_tptpcol_7_72707)). zenon_intro zenon_H10b.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H10b); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H10c ].
% 0.85/1.03 exact (zenon_Hc0 zenon_H104).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H10c); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ].
% 0.85/1.03 exact (zenon_H10e just46).
% 0.85/1.03 exact (zenon_Hbc zenon_H10d).
% 0.85/1.03 apply zenon_Ha7. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_7_72707) (c_tptpcol_6_71683)) = (genls (c_tptpcol_14_72792) (c_tptpcol_6_71683))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Hb8.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just44.
% 0.85/1.03 cut (((c_tptpcol_6_71683) = (c_tptpcol_6_71683))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 0.85/1.03 cut (((c_tptpcol_7_72707) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_Hbb); [ zenon_intro zenon_H111 | zenon_intro zenon_H110 ].
% 0.85/1.03 apply zenon_H111. zenon_intro zenon_H112.
% 0.85/1.03 elim (classic ((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792)) = ((c_tptpcol_7_72707) = (c_tptpcol_14_72792))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H10f.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_Hda.
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_7_72707))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_Hbd zenon_H112).
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_H110. zenon_intro zenon_H10d.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_14_72792)). zenon_intro zenon_Hdc.
% 0.85/1.03 generalize (zenon_Hdc (c_tptpcol_7_72707)). zenon_intro zenon_H113.
% 0.85/1.03 generalize (zenon_H113 (c_tptpcol_6_71683)). zenon_intro zenon_H114.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H114); [ zenon_intro zenon_Hbc | zenon_intro zenon_H115 ].
% 0.85/1.03 exact (zenon_Hbc zenon_H10d).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_H117 | zenon_intro zenon_H116 ].
% 0.85/1.03 exact (zenon_H117 just44).
% 0.85/1.03 exact (zenon_Hb8 zenon_H116).
% 0.85/1.03 apply zenon_Ha8. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_6_71683) (c_tptpcol_5_69635)) = (genls (c_tptpcol_14_72792) (c_tptpcol_5_69635))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Hb4.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just42.
% 0.85/1.03 cut (((c_tptpcol_5_69635) = (c_tptpcol_5_69635))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 0.85/1.03 cut (((c_tptpcol_6_71683) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_Hb7); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ].
% 0.85/1.03 apply zenon_H11a. zenon_intro zenon_H11b.
% 0.85/1.03 elim (classic ((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792)) = ((c_tptpcol_6_71683) = (c_tptpcol_14_72792))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H118.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_Hda.
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_6_71683))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_Hb9 zenon_H11b).
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_H119. zenon_intro zenon_H116.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_14_72792)). zenon_intro zenon_Hdc.
% 0.85/1.03 generalize (zenon_Hdc (c_tptpcol_6_71683)). zenon_intro zenon_H11c.
% 0.85/1.03 generalize (zenon_H11c (c_tptpcol_5_69635)). zenon_intro zenon_H11d.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H11d); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H11e ].
% 0.85/1.03 exact (zenon_Hb8 zenon_H116).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H11e); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ].
% 0.85/1.03 exact (zenon_H120 just42).
% 0.85/1.03 exact (zenon_Hb4 zenon_H11f).
% 0.85/1.03 apply zenon_Ha9. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_5_69635) (c_tptpcol_4_65539)) = (genls (c_tptpcol_14_72792) (c_tptpcol_4_65539))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Hb0.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just40.
% 0.85/1.03 cut (((c_tptpcol_4_65539) = (c_tptpcol_4_65539))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 0.85/1.03 cut (((c_tptpcol_5_69635) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_Hb3); [ zenon_intro zenon_H123 | zenon_intro zenon_H122 ].
% 0.85/1.03 apply zenon_H123. zenon_intro zenon_H124.
% 0.85/1.03 elim (classic ((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792)) = ((c_tptpcol_5_69635) = (c_tptpcol_14_72792))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H121.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_Hda.
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_5_69635))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_Hb5 zenon_H124).
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_H122. zenon_intro zenon_H11f.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_14_72792)). zenon_intro zenon_Hdc.
% 0.85/1.03 generalize (zenon_Hdc (c_tptpcol_5_69635)). zenon_intro zenon_H125.
% 0.85/1.03 generalize (zenon_H125 (c_tptpcol_4_65539)). zenon_intro zenon_H126.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H126); [ zenon_intro zenon_Hb4 | zenon_intro zenon_H127 ].
% 0.85/1.03 exact (zenon_Hb4 zenon_H11f).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H127); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ].
% 0.85/1.03 exact (zenon_H129 just40).
% 0.85/1.03 exact (zenon_Hb0 zenon_H128).
% 0.85/1.03 apply zenon_Haa. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_4_65539) (c_tptpcol_3_65538)) = (genls (c_tptpcol_14_72792) (c_tptpcol_3_65538))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_Had.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just38.
% 0.85/1.03 cut (((c_tptpcol_3_65538) = (c_tptpcol_3_65538))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 0.85/1.03 cut (((c_tptpcol_4_65539) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_Haf); [ zenon_intro zenon_H12c | zenon_intro zenon_H12b ].
% 0.85/1.03 apply zenon_H12c. zenon_intro zenon_H12d.
% 0.85/1.03 elim (classic ((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792)) = ((c_tptpcol_4_65539) = (c_tptpcol_14_72792))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H12a.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_Hda.
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_4_65539))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_Hb1 zenon_H12d).
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 apply zenon_H12b. zenon_intro zenon_H128.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_14_72792)). zenon_intro zenon_Hdc.
% 0.85/1.03 generalize (zenon_Hdc (c_tptpcol_4_65539)). zenon_intro zenon_H12e.
% 0.85/1.03 generalize (zenon_H12e (c_tptpcol_3_65538)). zenon_intro zenon_H12f.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H12f); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H130 ].
% 0.85/1.03 exact (zenon_Hb0 zenon_H128).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H130); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ].
% 0.85/1.03 exact (zenon_H132 just38).
% 0.85/1.03 exact (zenon_Had zenon_H131).
% 0.85/1.03 apply zenon_Hab. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L11_ *)
% 0.85/1.03 assert (zenon_L12_ : (~((c_tptpcol_2_65537) = (c_tptpcol_2_65537))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H133.
% 0.85/1.03 apply zenon_H133. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L12_ *)
% 0.85/1.03 assert (zenon_L13_ : (~((c_tptpcol_1_65536) = (c_tptpcol_1_65536))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H134.
% 0.85/1.03 apply zenon_H134. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L13_ *)
% 0.85/1.03 assert (zenon_L14_ : (~((c_tptpcol_14_72792) = (c_tptpcol_14_72792))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Hdb.
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L14_ *)
% 0.85/1.03 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_16_72795) (c_tptpcol_14_72792))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Hac zenon_H135.
% 0.85/1.03 elim (classic ((~((c_tptpcol_16_72795) = (c_tptpcol_15_72793)))/\(~(genls (c_tptpcol_16_72795) (c_tptpcol_15_72793))))); [ zenon_intro zenon_H136 | zenon_intro zenon_H137 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138.
% 0.85/1.03 exact (zenon_H138 just62).
% 0.85/1.03 cut ((genls (c_tptpcol_15_72793) (c_tptpcol_14_72792)) = (genls (c_tptpcol_16_72795) (c_tptpcol_14_72792))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H135.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just60.
% 0.85/1.03 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.03 cut (((c_tptpcol_15_72793) = (c_tptpcol_16_72795))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_H137); [ zenon_intro zenon_H13c | zenon_intro zenon_H13b ].
% 0.85/1.03 apply zenon_H13c. zenon_intro zenon_H13d.
% 0.85/1.03 elim (classic ((c_tptpcol_16_72795) = (c_tptpcol_16_72795))); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 0.85/1.03 cut (((c_tptpcol_16_72795) = (c_tptpcol_16_72795)) = ((c_tptpcol_15_72793) = (c_tptpcol_16_72795))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H13a.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_H13e.
% 0.85/1.03 cut (((c_tptpcol_16_72795) = (c_tptpcol_16_72795))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 0.85/1.03 cut (((c_tptpcol_16_72795) = (c_tptpcol_15_72793))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_H139 zenon_H13d).
% 0.85/1.03 apply zenon_H13f. apply refl_equal.
% 0.85/1.03 apply zenon_H13f. apply refl_equal.
% 0.85/1.03 apply zenon_H13b. zenon_intro just62.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_16_72795)). zenon_intro zenon_H140.
% 0.85/1.03 generalize (zenon_H140 (c_tptpcol_15_72793)). zenon_intro zenon_H141.
% 0.85/1.03 generalize (zenon_H141 (c_tptpcol_14_72792)). zenon_intro zenon_H142.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H142); [ zenon_intro zenon_H138 | zenon_intro zenon_H143 ].
% 0.85/1.03 exact (zenon_H138 just62).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H143); [ zenon_intro zenon_H145 | zenon_intro zenon_H144 ].
% 0.85/1.03 exact (zenon_H145 just60).
% 0.85/1.03 exact (zenon_H135 zenon_H144).
% 0.85/1.03 apply zenon_Hdb. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L15_ *)
% 0.85/1.03 assert (zenon_L16_ : (~((c_tptpcol_13_22071) = (c_tptpcol_13_22071))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H146.
% 0.85/1.03 apply zenon_H146. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L16_ *)
% 0.85/1.03 assert (zenon_L17_ : (~((c_tptpcol_12_22055) = (c_tptpcol_12_22055))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H147.
% 0.85/1.03 apply zenon_H147. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L17_ *)
% 0.85/1.03 assert (zenon_L18_ : (~((c_tptpcol_11_22023) = (c_tptpcol_11_22023))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H148.
% 0.85/1.03 apply zenon_H148. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L18_ *)
% 0.85/1.03 assert (zenon_L19_ : (~((c_tptpcol_10_22022) = (c_tptpcol_10_22022))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H149.
% 0.85/1.03 apply zenon_H149. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L19_ *)
% 0.85/1.03 assert (zenon_L20_ : (~((c_tptpcol_9_22021) = (c_tptpcol_9_22021))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H14a.
% 0.85/1.03 apply zenon_H14a. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L20_ *)
% 0.85/1.03 assert (zenon_L21_ : (~((c_tptpcol_8_22020) = (c_tptpcol_8_22020))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H14b.
% 0.85/1.03 apply zenon_H14b. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L21_ *)
% 0.85/1.03 assert (zenon_L22_ : (~((c_tptpcol_7_21508) = (c_tptpcol_7_21508))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H14c.
% 0.85/1.03 apply zenon_H14c. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L22_ *)
% 0.85/1.03 assert (zenon_L23_ : (~((c_tptpcol_6_20484) = (c_tptpcol_6_20484))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H14d.
% 0.85/1.03 apply zenon_H14d. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L23_ *)
% 0.85/1.03 assert (zenon_L24_ : (~((c_tptpcol_5_20483) = (c_tptpcol_5_20483))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H14e.
% 0.85/1.03 apply zenon_H14e. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L24_ *)
% 0.85/1.03 assert (zenon_L25_ : (~((c_tptpcol_4_16387) = (c_tptpcol_4_16387))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H14f.
% 0.85/1.03 apply zenon_H14f. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L25_ *)
% 0.85/1.03 assert (zenon_L26_ : (~((c_tptpcol_3_16386) = (c_tptpcol_3_16386))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H150.
% 0.85/1.03 apply zenon_H150. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L26_ *)
% 0.85/1.03 assert (zenon_L27_ : (~((c_tptpcol_2_2) = (c_tptpcol_2_2))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H151.
% 0.85/1.03 apply zenon_H151. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L27_ *)
% 0.85/1.03 assert (zenon_L28_ : (~((c_tptpcol_1_1) = (c_tptpcol_1_1))) -> False).
% 0.85/1.03 do 0 intro. intros zenon_H152.
% 0.85/1.03 apply zenon_H152. apply refl_equal.
% 0.85/1.03 (* end of lemma zenon_L28_ *)
% 0.85/1.03 assert (zenon_L29_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (forall ARG2 : zenon_U, (forall NEW : zenon_U, (((disjointwith (c_tptpcol_1_1) ARG2)/\(genls NEW (c_tptpcol_1_1)))->(disjointwith NEW ARG2)))) -> (~(disjointwith (c_tptpcol_15_22076) (c_tptpcol_16_72795))) -> (disjointwith (c_tptpcol_1_1) (c_tptpcol_16_72795)) -> False).
% 0.85/1.03 do 0 intro. intros zenon_Hac zenon_H153 zenon_H154 zenon_H155.
% 0.85/1.03 generalize (zenon_H153 (c_tptpcol_16_72795)). zenon_intro zenon_H156.
% 0.85/1.03 generalize (zenon_H156 (c_tptpcol_15_22076)). zenon_intro zenon_H157.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H157); [ zenon_intro zenon_H159 | zenon_intro zenon_H158 ].
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_H159); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ].
% 0.85/1.03 exact (zenon_H15b zenon_H155).
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_2_2)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_2_2))))); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H15f. zenon_intro zenon_H15e.
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_3_16386)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_3_16386))))); [ zenon_intro zenon_H160 | zenon_intro zenon_H161 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H163. zenon_intro zenon_H162.
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_4_16387)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_4_16387))))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H167. zenon_intro zenon_H166.
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_5_20483)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_5_20483))))); [ zenon_intro zenon_H168 | zenon_intro zenon_H169 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a.
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_6_20484)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_6_20484))))); [ zenon_intro zenon_H16c | zenon_intro zenon_H16d ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16f. zenon_intro zenon_H16e.
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_7_21508)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_7_21508))))); [ zenon_intro zenon_H170 | zenon_intro zenon_H171 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H173. zenon_intro zenon_H172.
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_8_22020)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_8_22020))))); [ zenon_intro zenon_H174 | zenon_intro zenon_H175 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H177. zenon_intro zenon_H176.
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_9_22021)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_9_22021))))); [ zenon_intro zenon_H178 | zenon_intro zenon_H179 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H17b. zenon_intro zenon_H17a.
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_10_22022)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_10_22022))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H17f. zenon_intro zenon_H17e.
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_11_22023)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_11_22023))))); [ zenon_intro zenon_H180 | zenon_intro zenon_H181 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H183. zenon_intro zenon_H182.
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_12_22055)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_12_22055))))); [ zenon_intro zenon_H184 | zenon_intro zenon_H185 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H187. zenon_intro zenon_H186.
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_13_22071)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_13_22071))))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H18b. zenon_intro zenon_H18a.
% 0.85/1.03 elim (classic ((~((c_tptpcol_15_22076) = (c_tptpcol_14_22072)))/\(~(genls (c_tptpcol_15_22076) (c_tptpcol_14_22072))))); [ zenon_intro zenon_H18c | zenon_intro zenon_H18d ].
% 0.85/1.03 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H18f. zenon_intro zenon_H18e.
% 0.85/1.03 exact (zenon_H18e just32).
% 0.85/1.03 cut ((genls (c_tptpcol_14_22072) (c_tptpcol_13_22071)) = (genls (c_tptpcol_15_22076) (c_tptpcol_13_22071))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H18a.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just30.
% 0.85/1.03 cut (((c_tptpcol_13_22071) = (c_tptpcol_13_22071))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 0.85/1.03 cut (((c_tptpcol_14_22072) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_H18d); [ zenon_intro zenon_H192 | zenon_intro zenon_H191 ].
% 0.85/1.03 apply zenon_H192. zenon_intro zenon_H193.
% 0.85/1.03 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.03 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_14_22072) = (c_tptpcol_15_22076))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H190.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_H194.
% 0.85/1.03 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.03 cut (((c_tptpcol_15_22076) = (c_tptpcol_14_22072))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_H18f zenon_H193).
% 0.85/1.03 apply zenon_H195. apply refl_equal.
% 0.85/1.03 apply zenon_H195. apply refl_equal.
% 0.85/1.03 apply zenon_H191. zenon_intro just32.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.03 generalize (zenon_H196 (c_tptpcol_14_22072)). zenon_intro zenon_H197.
% 0.85/1.03 generalize (zenon_H197 (c_tptpcol_13_22071)). zenon_intro zenon_H198.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H198); [ zenon_intro zenon_H18e | zenon_intro zenon_H199 ].
% 0.85/1.03 exact (zenon_H18e just32).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H199); [ zenon_intro zenon_H19b | zenon_intro zenon_H19a ].
% 0.85/1.03 exact (zenon_H19b just30).
% 0.85/1.03 exact (zenon_H18a zenon_H19a).
% 0.85/1.03 apply zenon_H146. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_13_22071) (c_tptpcol_12_22055)) = (genls (c_tptpcol_15_22076) (c_tptpcol_12_22055))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H186.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just28.
% 0.85/1.03 cut (((c_tptpcol_12_22055) = (c_tptpcol_12_22055))); [idtac | apply NNPP; zenon_intro zenon_H147].
% 0.85/1.03 cut (((c_tptpcol_13_22071) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_H189); [ zenon_intro zenon_H19e | zenon_intro zenon_H19d ].
% 0.85/1.03 apply zenon_H19e. zenon_intro zenon_H19f.
% 0.85/1.03 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.03 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_13_22071) = (c_tptpcol_15_22076))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H19c.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_H194.
% 0.85/1.03 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.03 cut (((c_tptpcol_15_22076) = (c_tptpcol_13_22071))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_H18b zenon_H19f).
% 0.85/1.03 apply zenon_H195. apply refl_equal.
% 0.85/1.03 apply zenon_H195. apply refl_equal.
% 0.85/1.03 apply zenon_H19d. zenon_intro zenon_H19a.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.03 generalize (zenon_H196 (c_tptpcol_13_22071)). zenon_intro zenon_H1a0.
% 0.85/1.03 generalize (zenon_H1a0 (c_tptpcol_12_22055)). zenon_intro zenon_H1a1.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H1a1); [ zenon_intro zenon_H18a | zenon_intro zenon_H1a2 ].
% 0.85/1.03 exact (zenon_H18a zenon_H19a).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ].
% 0.85/1.03 exact (zenon_H1a4 just28).
% 0.85/1.03 exact (zenon_H186 zenon_H1a3).
% 0.85/1.03 apply zenon_H147. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_12_22055) (c_tptpcol_11_22023)) = (genls (c_tptpcol_15_22076) (c_tptpcol_11_22023))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H182.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just26.
% 0.85/1.03 cut (((c_tptpcol_11_22023) = (c_tptpcol_11_22023))); [idtac | apply NNPP; zenon_intro zenon_H148].
% 0.85/1.03 cut (((c_tptpcol_12_22055) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_H185); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1a6 ].
% 0.85/1.03 apply zenon_H1a7. zenon_intro zenon_H1a8.
% 0.85/1.03 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.03 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_12_22055) = (c_tptpcol_15_22076))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H1a5.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_H194.
% 0.85/1.03 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.03 cut (((c_tptpcol_15_22076) = (c_tptpcol_12_22055))); [idtac | apply NNPP; zenon_intro zenon_H187].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_H187 zenon_H1a8).
% 0.85/1.03 apply zenon_H195. apply refl_equal.
% 0.85/1.03 apply zenon_H195. apply refl_equal.
% 0.85/1.03 apply zenon_H1a6. zenon_intro zenon_H1a3.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.03 generalize (zenon_H196 (c_tptpcol_12_22055)). zenon_intro zenon_H1a9.
% 0.85/1.03 generalize (zenon_H1a9 (c_tptpcol_11_22023)). zenon_intro zenon_H1aa.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H1aa); [ zenon_intro zenon_H186 | zenon_intro zenon_H1ab ].
% 0.85/1.03 exact (zenon_H186 zenon_H1a3).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ].
% 0.85/1.03 exact (zenon_H1ad just26).
% 0.85/1.03 exact (zenon_H182 zenon_H1ac).
% 0.85/1.03 apply zenon_H148. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_11_22023) (c_tptpcol_10_22022)) = (genls (c_tptpcol_15_22076) (c_tptpcol_10_22022))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H17e.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just24.
% 0.85/1.03 cut (((c_tptpcol_10_22022) = (c_tptpcol_10_22022))); [idtac | apply NNPP; zenon_intro zenon_H149].
% 0.85/1.03 cut (((c_tptpcol_11_22023) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_H181); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1af ].
% 0.85/1.03 apply zenon_H1b0. zenon_intro zenon_H1b1.
% 0.85/1.03 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.03 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_11_22023) = (c_tptpcol_15_22076))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H1ae.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact zenon_H194.
% 0.85/1.03 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.03 cut (((c_tptpcol_15_22076) = (c_tptpcol_11_22023))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 0.85/1.03 congruence.
% 0.85/1.03 exact (zenon_H183 zenon_H1b1).
% 0.85/1.03 apply zenon_H195. apply refl_equal.
% 0.85/1.03 apply zenon_H195. apply refl_equal.
% 0.85/1.03 apply zenon_H1af. zenon_intro zenon_H1ac.
% 0.85/1.03 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.03 generalize (zenon_H196 (c_tptpcol_11_22023)). zenon_intro zenon_H1b2.
% 0.85/1.03 generalize (zenon_H1b2 (c_tptpcol_10_22022)). zenon_intro zenon_H1b3.
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H1b3); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b4 ].
% 0.85/1.03 exact (zenon_H182 zenon_H1ac).
% 0.85/1.03 apply (zenon_imply_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b5 ].
% 0.85/1.03 exact (zenon_H1b6 just24).
% 0.85/1.03 exact (zenon_H17e zenon_H1b5).
% 0.85/1.03 apply zenon_H149. apply refl_equal.
% 0.85/1.03 cut ((genls (c_tptpcol_10_22022) (c_tptpcol_9_22021)) = (genls (c_tptpcol_15_22076) (c_tptpcol_9_22021))).
% 0.85/1.03 intro zenon_D_pnotp.
% 0.85/1.03 apply zenon_H17a.
% 0.85/1.03 rewrite <- zenon_D_pnotp.
% 0.85/1.03 exact just22.
% 0.85/1.03 cut (((c_tptpcol_9_22021) = (c_tptpcol_9_22021))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 0.85/1.03 cut (((c_tptpcol_10_22022) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H1b7].
% 0.85/1.03 congruence.
% 0.85/1.03 apply (zenon_notand_s _ _ zenon_H17d); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H1b8 ].
% 0.85/1.04 apply zenon_H1b9. zenon_intro zenon_H1ba.
% 0.85/1.04 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_10_22022) = (c_tptpcol_15_22076))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H1b7.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact zenon_H194.
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_10_22022))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 0.85/1.04 congruence.
% 0.85/1.04 exact (zenon_H17f zenon_H1ba).
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H1b8. zenon_intro zenon_H1b5.
% 0.85/1.04 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.04 generalize (zenon_H196 (c_tptpcol_10_22022)). zenon_intro zenon_H1bb.
% 0.85/1.04 generalize (zenon_H1bb (c_tptpcol_9_22021)). zenon_intro zenon_H1bc.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1bc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1bd ].
% 0.85/1.04 exact (zenon_H17e zenon_H1b5).
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1bd); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1be ].
% 0.85/1.04 exact (zenon_H1bf just22).
% 0.85/1.04 exact (zenon_H17a zenon_H1be).
% 0.85/1.04 apply zenon_H14a. apply refl_equal.
% 0.85/1.04 cut ((genls (c_tptpcol_9_22021) (c_tptpcol_8_22020)) = (genls (c_tptpcol_15_22076) (c_tptpcol_8_22020))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H176.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact just20.
% 0.85/1.04 cut (((c_tptpcol_8_22020) = (c_tptpcol_8_22020))); [idtac | apply NNPP; zenon_intro zenon_H14b].
% 0.85/1.04 cut (((c_tptpcol_9_22021) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 0.85/1.04 congruence.
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H179); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1c1 ].
% 0.85/1.04 apply zenon_H1c2. zenon_intro zenon_H1c3.
% 0.85/1.04 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_9_22021) = (c_tptpcol_15_22076))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H1c0.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact zenon_H194.
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_9_22021))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 0.85/1.04 congruence.
% 0.85/1.04 exact (zenon_H17b zenon_H1c3).
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H1c1. zenon_intro zenon_H1be.
% 0.85/1.04 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.04 generalize (zenon_H196 (c_tptpcol_9_22021)). zenon_intro zenon_H1c4.
% 0.85/1.04 generalize (zenon_H1c4 (c_tptpcol_8_22020)). zenon_intro zenon_H1c5.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1c5); [ zenon_intro zenon_H17a | zenon_intro zenon_H1c6 ].
% 0.85/1.04 exact (zenon_H17a zenon_H1be).
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1c7 ].
% 0.85/1.04 exact (zenon_H1c8 just20).
% 0.85/1.04 exact (zenon_H176 zenon_H1c7).
% 0.85/1.04 apply zenon_H14b. apply refl_equal.
% 0.85/1.04 cut ((genls (c_tptpcol_8_22020) (c_tptpcol_7_21508)) = (genls (c_tptpcol_15_22076) (c_tptpcol_7_21508))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H172.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact just18.
% 0.85/1.04 cut (((c_tptpcol_7_21508) = (c_tptpcol_7_21508))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 0.85/1.04 cut (((c_tptpcol_8_22020) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H1c9].
% 0.85/1.04 congruence.
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H175); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1ca ].
% 0.85/1.04 apply zenon_H1cb. zenon_intro zenon_H1cc.
% 0.85/1.04 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_8_22020) = (c_tptpcol_15_22076))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H1c9.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact zenon_H194.
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_8_22020))); [idtac | apply NNPP; zenon_intro zenon_H177].
% 0.85/1.04 congruence.
% 0.85/1.04 exact (zenon_H177 zenon_H1cc).
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H1ca. zenon_intro zenon_H1c7.
% 0.85/1.04 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.04 generalize (zenon_H196 (c_tptpcol_8_22020)). zenon_intro zenon_H1cd.
% 0.85/1.04 generalize (zenon_H1cd (c_tptpcol_7_21508)). zenon_intro zenon_H1ce.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1ce); [ zenon_intro zenon_H176 | zenon_intro zenon_H1cf ].
% 0.85/1.04 exact (zenon_H176 zenon_H1c7).
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ].
% 0.85/1.04 exact (zenon_H1d1 just18).
% 0.85/1.04 exact (zenon_H172 zenon_H1d0).
% 0.85/1.04 apply zenon_H14c. apply refl_equal.
% 0.85/1.04 cut ((genls (c_tptpcol_7_21508) (c_tptpcol_6_20484)) = (genls (c_tptpcol_15_22076) (c_tptpcol_6_20484))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H16e.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact just16.
% 0.85/1.04 cut (((c_tptpcol_6_20484) = (c_tptpcol_6_20484))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 0.85/1.04 cut (((c_tptpcol_7_21508) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H1d2].
% 0.85/1.04 congruence.
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H171); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1d3 ].
% 0.85/1.04 apply zenon_H1d4. zenon_intro zenon_H1d5.
% 0.85/1.04 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_7_21508) = (c_tptpcol_15_22076))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H1d2.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact zenon_H194.
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_7_21508))); [idtac | apply NNPP; zenon_intro zenon_H173].
% 0.85/1.04 congruence.
% 0.85/1.04 exact (zenon_H173 zenon_H1d5).
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H1d3. zenon_intro zenon_H1d0.
% 0.85/1.04 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.04 generalize (zenon_H196 (c_tptpcol_7_21508)). zenon_intro zenon_H1d6.
% 0.85/1.04 generalize (zenon_H1d6 (c_tptpcol_6_20484)). zenon_intro zenon_H1d7.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1d7); [ zenon_intro zenon_H172 | zenon_intro zenon_H1d8 ].
% 0.85/1.04 exact (zenon_H172 zenon_H1d0).
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1d8); [ zenon_intro zenon_H1da | zenon_intro zenon_H1d9 ].
% 0.85/1.04 exact (zenon_H1da just16).
% 0.85/1.04 exact (zenon_H16e zenon_H1d9).
% 0.85/1.04 apply zenon_H14d. apply refl_equal.
% 0.85/1.04 cut ((genls (c_tptpcol_6_20484) (c_tptpcol_5_20483)) = (genls (c_tptpcol_15_22076) (c_tptpcol_5_20483))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H16a.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact just14.
% 0.85/1.04 cut (((c_tptpcol_5_20483) = (c_tptpcol_5_20483))); [idtac | apply NNPP; zenon_intro zenon_H14e].
% 0.85/1.04 cut (((c_tptpcol_6_20484) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 0.85/1.04 congruence.
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H16d); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ].
% 0.85/1.04 apply zenon_H1dd. zenon_intro zenon_H1de.
% 0.85/1.04 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_6_20484) = (c_tptpcol_15_22076))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H1db.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact zenon_H194.
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_6_20484))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 0.85/1.04 congruence.
% 0.85/1.04 exact (zenon_H16f zenon_H1de).
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H1dc. zenon_intro zenon_H1d9.
% 0.85/1.04 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.04 generalize (zenon_H196 (c_tptpcol_6_20484)). zenon_intro zenon_H1df.
% 0.85/1.04 generalize (zenon_H1df (c_tptpcol_5_20483)). zenon_intro zenon_H1e0.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1e0); [ zenon_intro zenon_H16e | zenon_intro zenon_H1e1 ].
% 0.85/1.04 exact (zenon_H16e zenon_H1d9).
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e2 ].
% 0.85/1.04 exact (zenon_H1e3 just14).
% 0.85/1.04 exact (zenon_H16a zenon_H1e2).
% 0.85/1.04 apply zenon_H14e. apply refl_equal.
% 0.85/1.04 cut ((genls (c_tptpcol_5_20483) (c_tptpcol_4_16387)) = (genls (c_tptpcol_15_22076) (c_tptpcol_4_16387))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H166.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact just12.
% 0.85/1.04 cut (((c_tptpcol_4_16387) = (c_tptpcol_4_16387))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 0.85/1.04 cut (((c_tptpcol_5_20483) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H1e4].
% 0.85/1.04 congruence.
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H169); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e5 ].
% 0.85/1.04 apply zenon_H1e6. zenon_intro zenon_H1e7.
% 0.85/1.04 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_5_20483) = (c_tptpcol_15_22076))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H1e4.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact zenon_H194.
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_5_20483))); [idtac | apply NNPP; zenon_intro zenon_H16b].
% 0.85/1.04 congruence.
% 0.85/1.04 exact (zenon_H16b zenon_H1e7).
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H1e5. zenon_intro zenon_H1e2.
% 0.85/1.04 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.04 generalize (zenon_H196 (c_tptpcol_5_20483)). zenon_intro zenon_H1e8.
% 0.85/1.04 generalize (zenon_H1e8 (c_tptpcol_4_16387)). zenon_intro zenon_H1e9.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_H16a | zenon_intro zenon_H1ea ].
% 0.85/1.04 exact (zenon_H16a zenon_H1e2).
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1ea); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1eb ].
% 0.85/1.04 exact (zenon_H1ec just12).
% 0.85/1.04 exact (zenon_H166 zenon_H1eb).
% 0.85/1.04 apply zenon_H14f. apply refl_equal.
% 0.85/1.04 cut ((genls (c_tptpcol_4_16387) (c_tptpcol_3_16386)) = (genls (c_tptpcol_15_22076) (c_tptpcol_3_16386))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H162.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact just10.
% 0.85/1.04 cut (((c_tptpcol_3_16386) = (c_tptpcol_3_16386))); [idtac | apply NNPP; zenon_intro zenon_H150].
% 0.85/1.04 cut (((c_tptpcol_4_16387) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H1ed].
% 0.85/1.04 congruence.
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H165); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1ee ].
% 0.85/1.04 apply zenon_H1ef. zenon_intro zenon_H1f0.
% 0.85/1.04 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_4_16387) = (c_tptpcol_15_22076))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H1ed.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact zenon_H194.
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_4_16387))); [idtac | apply NNPP; zenon_intro zenon_H167].
% 0.85/1.04 congruence.
% 0.85/1.04 exact (zenon_H167 zenon_H1f0).
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H1ee. zenon_intro zenon_H1eb.
% 0.85/1.04 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.04 generalize (zenon_H196 (c_tptpcol_4_16387)). zenon_intro zenon_H1f1.
% 0.85/1.04 generalize (zenon_H1f1 (c_tptpcol_3_16386)). zenon_intro zenon_H1f2.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1f2); [ zenon_intro zenon_H166 | zenon_intro zenon_H1f3 ].
% 0.85/1.04 exact (zenon_H166 zenon_H1eb).
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f4 ].
% 0.85/1.04 exact (zenon_H1f5 just10).
% 0.85/1.04 exact (zenon_H162 zenon_H1f4).
% 0.85/1.04 apply zenon_H150. apply refl_equal.
% 0.85/1.04 cut ((genls (c_tptpcol_3_16386) (c_tptpcol_2_2)) = (genls (c_tptpcol_15_22076) (c_tptpcol_2_2))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H15e.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact just8.
% 0.85/1.04 cut (((c_tptpcol_2_2) = (c_tptpcol_2_2))); [idtac | apply NNPP; zenon_intro zenon_H151].
% 0.85/1.04 cut (((c_tptpcol_3_16386) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 0.85/1.04 congruence.
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H161); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ].
% 0.85/1.04 apply zenon_H1f8. zenon_intro zenon_H1f9.
% 0.85/1.04 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_3_16386) = (c_tptpcol_15_22076))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H1f6.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact zenon_H194.
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_3_16386))); [idtac | apply NNPP; zenon_intro zenon_H163].
% 0.85/1.04 congruence.
% 0.85/1.04 exact (zenon_H163 zenon_H1f9).
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H1f7. zenon_intro zenon_H1f4.
% 0.85/1.04 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.04 generalize (zenon_H196 (c_tptpcol_3_16386)). zenon_intro zenon_H1fa.
% 0.85/1.04 generalize (zenon_H1fa (c_tptpcol_2_2)). zenon_intro zenon_H1fb.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1fb); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fc ].
% 0.85/1.04 exact (zenon_H162 zenon_H1f4).
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H1fc); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1fd ].
% 0.85/1.04 exact (zenon_H1fe just8).
% 0.85/1.04 exact (zenon_H15e zenon_H1fd).
% 0.85/1.04 apply zenon_H151. apply refl_equal.
% 0.85/1.04 cut ((genls (c_tptpcol_2_2) (c_tptpcol_1_1)) = (genls (c_tptpcol_15_22076) (c_tptpcol_1_1))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H15a.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact just6.
% 0.85/1.04 cut (((c_tptpcol_1_1) = (c_tptpcol_1_1))); [idtac | apply NNPP; zenon_intro zenon_H152].
% 0.85/1.04 cut (((c_tptpcol_2_2) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H1ff].
% 0.85/1.04 congruence.
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H15d); [ zenon_intro zenon_H201 | zenon_intro zenon_H200 ].
% 0.85/1.04 apply zenon_H201. zenon_intro zenon_H202.
% 0.85/1.04 elim (classic ((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [ zenon_intro zenon_H194 | zenon_intro zenon_H195 ].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076)) = ((c_tptpcol_2_2) = (c_tptpcol_15_22076))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H1ff.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact zenon_H194.
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_15_22076))); [idtac | apply NNPP; zenon_intro zenon_H195].
% 0.85/1.04 cut (((c_tptpcol_15_22076) = (c_tptpcol_2_2))); [idtac | apply NNPP; zenon_intro zenon_H15f].
% 0.85/1.04 congruence.
% 0.85/1.04 exact (zenon_H15f zenon_H202).
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H195. apply refl_equal.
% 0.85/1.04 apply zenon_H200. zenon_intro zenon_H1fd.
% 0.85/1.04 generalize (zenon_Hac (c_tptpcol_15_22076)). zenon_intro zenon_H196.
% 0.85/1.04 generalize (zenon_H196 (c_tptpcol_2_2)). zenon_intro zenon_H203.
% 0.85/1.04 generalize (zenon_H203 (c_tptpcol_1_1)). zenon_intro zenon_H204.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H204); [ zenon_intro zenon_H15e | zenon_intro zenon_H205 ].
% 0.85/1.04 exact (zenon_H15e zenon_H1fd).
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H205); [ zenon_intro zenon_H207 | zenon_intro zenon_H206 ].
% 0.85/1.04 exact (zenon_H207 just6).
% 0.85/1.04 exact (zenon_H15a zenon_H206).
% 0.85/1.04 apply zenon_H152. apply refl_equal.
% 0.85/1.04 exact (zenon_H154 zenon_H158).
% 0.85/1.04 (* end of lemma zenon_L29_ *)
% 0.85/1.04 apply NNPP. intro zenon_G.
% 0.85/1.04 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_Hac | zenon_intro zenon_H208 ].
% 0.85/1.04 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H209. zenon_intro zenon_H154.
% 0.85/1.04 generalize (just85 (c_tptpcol_1_1)). zenon_intro zenon_H153.
% 0.85/1.04 generalize (just84 (c_tptpcol_1_1)). zenon_intro zenon_H20a.
% 0.85/1.04 generalize (zenon_H20a (c_tptpcol_14_72792)). zenon_intro zenon_H20b.
% 0.85/1.04 generalize (zenon_H20a (c_tptpcol_1_65536)). zenon_intro zenon_H20c.
% 0.85/1.04 generalize (zenon_H20b (c_tptpcol_16_72795)). zenon_intro zenon_H20d.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_H20e | zenon_intro zenon_H155 ].
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H20e); [ zenon_intro zenon_H20f | zenon_intro zenon_H135 ].
% 0.85/1.04 generalize (zenon_H20c (c_tptpcol_14_72792)). zenon_intro zenon_H210.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H210); [ zenon_intro zenon_H212 | zenon_intro zenon_H211 ].
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H212); [ zenon_intro zenon_H214 | zenon_intro zenon_H213 ].
% 0.85/1.04 exact (zenon_H214 just64).
% 0.85/1.04 elim (classic ((~((c_tptpcol_14_72792) = (c_tptpcol_2_65537)))/\(~(genls (c_tptpcol_14_72792) (c_tptpcol_2_65537))))); [ zenon_intro zenon_H215 | zenon_intro zenon_H216 ].
% 0.85/1.04 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 0.85/1.04 elim (classic ((~((c_tptpcol_14_72792) = (c_tptpcol_3_65538)))/\(~(genls (c_tptpcol_14_72792) (c_tptpcol_3_65538))))); [ zenon_intro zenon_H219 | zenon_intro zenon_H21a ].
% 0.85/1.04 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21b. zenon_intro zenon_Had.
% 0.85/1.04 apply (zenon_L11_); trivial.
% 0.85/1.04 cut ((genls (c_tptpcol_3_65538) (c_tptpcol_2_65537)) = (genls (c_tptpcol_14_72792) (c_tptpcol_2_65537))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H217.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact just36.
% 0.85/1.04 cut (((c_tptpcol_2_65537) = (c_tptpcol_2_65537))); [idtac | apply NNPP; zenon_intro zenon_H133].
% 0.85/1.04 cut (((c_tptpcol_3_65538) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_H21c].
% 0.85/1.04 congruence.
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H21a); [ zenon_intro zenon_H21e | zenon_intro zenon_H21d ].
% 0.85/1.04 apply zenon_H21e. zenon_intro zenon_H21f.
% 0.85/1.04 elim (classic ((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 0.85/1.04 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792)) = ((c_tptpcol_3_65538) = (c_tptpcol_14_72792))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H21c.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact zenon_Hda.
% 0.85/1.04 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.04 cut (((c_tptpcol_14_72792) = (c_tptpcol_3_65538))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 0.85/1.04 congruence.
% 0.85/1.04 exact (zenon_H21b zenon_H21f).
% 0.85/1.04 apply zenon_Hdb. apply refl_equal.
% 0.85/1.04 apply zenon_Hdb. apply refl_equal.
% 0.85/1.04 apply zenon_H21d. zenon_intro zenon_H131.
% 0.85/1.04 generalize (zenon_Hac (c_tptpcol_14_72792)). zenon_intro zenon_Hdc.
% 0.85/1.04 generalize (zenon_Hdc (c_tptpcol_3_65538)). zenon_intro zenon_H220.
% 0.85/1.04 generalize (zenon_H220 (c_tptpcol_2_65537)). zenon_intro zenon_H221.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H221); [ zenon_intro zenon_Had | zenon_intro zenon_H222 ].
% 0.85/1.04 exact (zenon_Had zenon_H131).
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H222); [ zenon_intro zenon_H224 | zenon_intro zenon_H223 ].
% 0.85/1.04 exact (zenon_H224 just36).
% 0.85/1.04 exact (zenon_H217 zenon_H223).
% 0.85/1.04 apply zenon_H133. apply refl_equal.
% 0.85/1.04 cut ((genls (c_tptpcol_2_65537) (c_tptpcol_1_65536)) = (genls (c_tptpcol_14_72792) (c_tptpcol_1_65536))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H213.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact just34.
% 0.85/1.04 cut (((c_tptpcol_1_65536) = (c_tptpcol_1_65536))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 0.85/1.04 cut (((c_tptpcol_2_65537) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_H225].
% 0.85/1.04 congruence.
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H216); [ zenon_intro zenon_H227 | zenon_intro zenon_H226 ].
% 0.85/1.04 apply zenon_H227. zenon_intro zenon_H228.
% 0.85/1.04 elim (classic ((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 0.85/1.04 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792)) = ((c_tptpcol_2_65537) = (c_tptpcol_14_72792))).
% 0.85/1.04 intro zenon_D_pnotp.
% 0.85/1.04 apply zenon_H225.
% 0.85/1.04 rewrite <- zenon_D_pnotp.
% 0.85/1.04 exact zenon_Hda.
% 0.85/1.04 cut (((c_tptpcol_14_72792) = (c_tptpcol_14_72792))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 0.85/1.04 cut (((c_tptpcol_14_72792) = (c_tptpcol_2_65537))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 0.85/1.04 congruence.
% 0.85/1.04 exact (zenon_H218 zenon_H228).
% 0.85/1.04 apply zenon_Hdb. apply refl_equal.
% 0.85/1.04 apply zenon_Hdb. apply refl_equal.
% 0.85/1.04 apply zenon_H226. zenon_intro zenon_H223.
% 0.85/1.04 generalize (zenon_Hac (c_tptpcol_14_72792)). zenon_intro zenon_Hdc.
% 0.85/1.04 generalize (zenon_Hdc (c_tptpcol_2_65537)). zenon_intro zenon_H229.
% 0.85/1.04 generalize (zenon_H229 (c_tptpcol_1_65536)). zenon_intro zenon_H22a.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H22a); [ zenon_intro zenon_H217 | zenon_intro zenon_H22b ].
% 0.85/1.04 exact (zenon_H217 zenon_H223).
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H22b); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ].
% 0.85/1.04 exact (zenon_H22d just34).
% 0.85/1.04 exact (zenon_H213 zenon_H22c).
% 0.85/1.04 apply zenon_H134. apply refl_equal.
% 0.85/1.04 exact (zenon_H20f zenon_H211).
% 0.85/1.04 apply (zenon_L15_); trivial.
% 0.85/1.04 apply (zenon_L29_); trivial.
% 0.85/1.04 apply zenon_H208. zenon_intro zenon_Tx_vm. apply NNPP. zenon_intro zenon_H22f.
% 0.85/1.04 apply zenon_H22f. zenon_intro zenon_Ty_vo. apply NNPP. zenon_intro zenon_H231.
% 0.85/1.04 apply zenon_H231. zenon_intro zenon_Tz_vq. apply NNPP. zenon_intro zenon_H233.
% 0.85/1.04 apply (zenon_notimply_s _ _ zenon_H233). zenon_intro zenon_H235. zenon_intro zenon_H234.
% 0.85/1.04 apply (zenon_notimply_s _ _ zenon_H234). zenon_intro zenon_H237. zenon_intro zenon_H236.
% 0.85/1.04 generalize (just152 zenon_Tx_vm). zenon_intro zenon_H238.
% 0.85/1.04 generalize (zenon_H238 zenon_Ty_vo). zenon_intro zenon_H239.
% 0.85/1.04 generalize (zenon_H239 zenon_Tz_vq). zenon_intro zenon_H23a.
% 0.85/1.04 apply (zenon_imply_s _ _ zenon_H23a); [ zenon_intro zenon_H23c | zenon_intro zenon_H23b ].
% 0.85/1.04 apply (zenon_notand_s _ _ zenon_H23c); [ zenon_intro zenon_H23e | zenon_intro zenon_H23d ].
% 0.85/1.04 exact (zenon_H23e zenon_H235).
% 0.85/1.04 exact (zenon_H23d zenon_H237).
% 0.85/1.04 exact (zenon_H236 zenon_H23b).
% 0.85/1.04 Qed.
% 0.85/1.04 % SZS output end Proof
% 0.85/1.04 (* END-PROOF *)
% 0.85/1.04 nodes searched: 17132
% 0.85/1.04 max branch formulas: 6054
% 0.85/1.04 proof nodes created: 178
% 0.85/1.04 formulas created: 85010
% 0.85/1.04
%------------------------------------------------------------------------------