TSTP Solution File: CSR061+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : CSR061+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n026.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 00:02:22 EDT 2022
% Result : Theorem 0.43s 0.62s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR061+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 11 06:51:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/0.62 (* PROOF-FOUND *)
% 0.43/0.62 % SZS status Theorem
% 0.43/0.62 (* BEGIN-PROOF *)
% 0.43/0.62 % SZS output start Proof
% 0.43/0.62 Theorem query61 : ((mtvisible (c_timehasnoendmt))->(disjointwith (c_tptpcol_8_114177) (c_tptpcol_14_118118))).
% 0.43/0.62 Proof.
% 0.43/0.62 assert (zenon_L1_ : (~((c_tptpcol_6_116738) = (c_tptpcol_6_116738))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H6b.
% 0.43/0.62 apply zenon_H6b. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L1_ *)
% 0.43/0.62 assert (zenon_L2_ : (~((c_tptpcol_5_114690) = (c_tptpcol_5_114690))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H6c.
% 0.43/0.62 apply zenon_H6c. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L2_ *)
% 0.43/0.62 assert (zenon_L3_ : (~((c_tptpcol_4_114689) = (c_tptpcol_4_114689))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H6d.
% 0.43/0.62 apply zenon_H6d. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L3_ *)
% 0.43/0.62 assert (zenon_L4_ : (~((c_tptpcol_3_114688) = (c_tptpcol_3_114688))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H6e.
% 0.43/0.62 apply zenon_H6e. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L4_ *)
% 0.43/0.62 assert (zenon_L5_ : (~((c_tptpcol_12_118116) = (c_tptpcol_12_118116))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H6f.
% 0.43/0.62 apply zenon_H6f. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L5_ *)
% 0.43/0.62 assert (zenon_L6_ : (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_118118) (c_tptpcol_12_118116))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H70 zenon_H71.
% 0.43/0.62 elim (classic ((~((c_tptpcol_14_118118) = (c_tptpcol_13_118117)))/\(~(genls (c_tptpcol_14_118118) (c_tptpcol_13_118117))))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74.
% 0.43/0.62 exact (zenon_H74 just35).
% 0.43/0.62 cut ((genls (c_tptpcol_13_118117) (c_tptpcol_12_118116)) = (genls (c_tptpcol_14_118118) (c_tptpcol_12_118116))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H71.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just33.
% 0.43/0.62 cut (((c_tptpcol_12_118116) = (c_tptpcol_12_118116))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 0.43/0.62 cut (((c_tptpcol_13_118117) = (c_tptpcol_14_118118))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_H73); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ].
% 0.43/0.62 apply zenon_H78. zenon_intro zenon_H79.
% 0.43/0.62 elim (classic ((c_tptpcol_14_118118) = (c_tptpcol_14_118118))); [ zenon_intro zenon_H7a | zenon_intro zenon_H7b ].
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_14_118118)) = ((c_tptpcol_13_118117) = (c_tptpcol_14_118118))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H76.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_H7a.
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_14_118118))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_13_118117))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_H75 zenon_H79).
% 0.43/0.62 apply zenon_H7b. apply refl_equal.
% 0.43/0.62 apply zenon_H7b. apply refl_equal.
% 0.43/0.62 apply zenon_H77. zenon_intro just35.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_14_118118)). zenon_intro zenon_H7c.
% 0.43/0.62 generalize (zenon_H7c (c_tptpcol_13_118117)). zenon_intro zenon_H7d.
% 0.43/0.62 generalize (zenon_H7d (c_tptpcol_12_118116)). zenon_intro zenon_H7e.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H7e); [ zenon_intro zenon_H74 | zenon_intro zenon_H7f ].
% 0.43/0.62 exact (zenon_H74 just35).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H7f); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ].
% 0.43/0.62 exact (zenon_H81 just33).
% 0.43/0.62 exact (zenon_H71 zenon_H80).
% 0.43/0.62 apply zenon_H6f. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L6_ *)
% 0.43/0.62 assert (zenon_L7_ : (~((c_tptpcol_11_118084) = (c_tptpcol_11_118084))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H82.
% 0.43/0.62 apply zenon_H82. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L7_ *)
% 0.43/0.62 assert (zenon_L8_ : (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_118118) (c_tptpcol_11_118084))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H70 zenon_H83.
% 0.43/0.62 elim (classic ((~((c_tptpcol_14_118118) = (c_tptpcol_12_118116)))/\(~(genls (c_tptpcol_14_118118) (c_tptpcol_12_118116))))); [ zenon_intro zenon_H84 | zenon_intro zenon_H85 ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H71.
% 0.43/0.62 apply (zenon_L6_); trivial.
% 0.43/0.62 cut ((genls (c_tptpcol_12_118116) (c_tptpcol_11_118084)) = (genls (c_tptpcol_14_118118) (c_tptpcol_11_118084))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H83.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just31.
% 0.43/0.62 cut (((c_tptpcol_11_118084) = (c_tptpcol_11_118084))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 0.43/0.62 cut (((c_tptpcol_12_118116) = (c_tptpcol_14_118118))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_H85); [ zenon_intro zenon_H89 | zenon_intro zenon_H88 ].
% 0.43/0.62 apply zenon_H89. zenon_intro zenon_H8a.
% 0.43/0.62 elim (classic ((c_tptpcol_14_118118) = (c_tptpcol_14_118118))); [ zenon_intro zenon_H7a | zenon_intro zenon_H7b ].
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_14_118118)) = ((c_tptpcol_12_118116) = (c_tptpcol_14_118118))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H87.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_H7a.
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_14_118118))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_12_118116))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_H86 zenon_H8a).
% 0.43/0.62 apply zenon_H7b. apply refl_equal.
% 0.43/0.62 apply zenon_H7b. apply refl_equal.
% 0.43/0.62 apply zenon_H88. zenon_intro zenon_H80.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_14_118118)). zenon_intro zenon_H7c.
% 0.43/0.62 generalize (zenon_H7c (c_tptpcol_12_118116)). zenon_intro zenon_H8b.
% 0.43/0.62 generalize (zenon_H8b (c_tptpcol_11_118084)). zenon_intro zenon_H8c.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H8c); [ zenon_intro zenon_H71 | zenon_intro zenon_H8d ].
% 0.43/0.62 exact (zenon_H71 zenon_H80).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H8d); [ zenon_intro zenon_H8f | zenon_intro zenon_H8e ].
% 0.43/0.62 exact (zenon_H8f just31).
% 0.43/0.62 exact (zenon_H83 zenon_H8e).
% 0.43/0.62 apply zenon_H82. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L8_ *)
% 0.43/0.62 assert (zenon_L9_ : (~((c_tptpcol_10_118020) = (c_tptpcol_10_118020))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H90.
% 0.43/0.62 apply zenon_H90. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L9_ *)
% 0.43/0.62 assert (zenon_L10_ : (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_118118) (c_tptpcol_10_118020))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H70 zenon_H91.
% 0.43/0.62 elim (classic ((~((c_tptpcol_14_118118) = (c_tptpcol_11_118084)))/\(~(genls (c_tptpcol_14_118118) (c_tptpcol_11_118084))))); [ zenon_intro zenon_H92 | zenon_intro zenon_H93 ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H94. zenon_intro zenon_H83.
% 0.43/0.62 apply (zenon_L8_); trivial.
% 0.43/0.62 cut ((genls (c_tptpcol_11_118084) (c_tptpcol_10_118020)) = (genls (c_tptpcol_14_118118) (c_tptpcol_10_118020))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H91.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just29.
% 0.43/0.62 cut (((c_tptpcol_10_118020) = (c_tptpcol_10_118020))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 0.43/0.62 cut (((c_tptpcol_11_118084) = (c_tptpcol_14_118118))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_H93); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ].
% 0.43/0.62 apply zenon_H97. zenon_intro zenon_H98.
% 0.43/0.62 elim (classic ((c_tptpcol_14_118118) = (c_tptpcol_14_118118))); [ zenon_intro zenon_H7a | zenon_intro zenon_H7b ].
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_14_118118)) = ((c_tptpcol_11_118084) = (c_tptpcol_14_118118))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H95.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_H7a.
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_14_118118))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_11_118084))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_H94 zenon_H98).
% 0.43/0.62 apply zenon_H7b. apply refl_equal.
% 0.43/0.62 apply zenon_H7b. apply refl_equal.
% 0.43/0.62 apply zenon_H96. zenon_intro zenon_H8e.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_14_118118)). zenon_intro zenon_H7c.
% 0.43/0.62 generalize (zenon_H7c (c_tptpcol_11_118084)). zenon_intro zenon_H99.
% 0.43/0.62 generalize (zenon_H99 (c_tptpcol_10_118020)). zenon_intro zenon_H9a.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H9a); [ zenon_intro zenon_H83 | zenon_intro zenon_H9b ].
% 0.43/0.62 exact (zenon_H83 zenon_H8e).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H9b); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ].
% 0.43/0.62 exact (zenon_H9d just29).
% 0.43/0.62 exact (zenon_H91 zenon_H9c).
% 0.43/0.62 apply zenon_H90. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L10_ *)
% 0.43/0.62 assert (zenon_L11_ : (~((c_tptpcol_9_118019) = (c_tptpcol_9_118019))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H9e.
% 0.43/0.62 apply zenon_H9e. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L11_ *)
% 0.43/0.62 assert (zenon_L12_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (~(genls (c_tptpcol_14_118118) (c_tptpcol_9_118019))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H70 zenon_H9f.
% 0.43/0.62 elim (classic ((~((c_tptpcol_14_118118) = (c_tptpcol_10_118020)))/\(~(genls (c_tptpcol_14_118118) (c_tptpcol_10_118020))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Ha2. zenon_intro zenon_H91.
% 0.43/0.62 apply (zenon_L10_); trivial.
% 0.43/0.62 cut ((genls (c_tptpcol_10_118020) (c_tptpcol_9_118019)) = (genls (c_tptpcol_14_118118) (c_tptpcol_9_118019))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H9f.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just27.
% 0.43/0.62 cut (((c_tptpcol_9_118019) = (c_tptpcol_9_118019))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 0.43/0.62 cut (((c_tptpcol_10_118020) = (c_tptpcol_14_118118))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha4 ].
% 0.43/0.62 apply zenon_Ha5. zenon_intro zenon_Ha6.
% 0.43/0.62 elim (classic ((c_tptpcol_14_118118) = (c_tptpcol_14_118118))); [ zenon_intro zenon_H7a | zenon_intro zenon_H7b ].
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_14_118118)) = ((c_tptpcol_10_118020) = (c_tptpcol_14_118118))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_Ha3.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_H7a.
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_14_118118))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_10_118020))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_Ha2 zenon_Ha6).
% 0.43/0.62 apply zenon_H7b. apply refl_equal.
% 0.43/0.62 apply zenon_H7b. apply refl_equal.
% 0.43/0.62 apply zenon_Ha4. zenon_intro zenon_H9c.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_14_118118)). zenon_intro zenon_H7c.
% 0.43/0.62 generalize (zenon_H7c (c_tptpcol_10_118020)). zenon_intro zenon_Ha7.
% 0.43/0.62 generalize (zenon_Ha7 (c_tptpcol_9_118019)). zenon_intro zenon_Ha8.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_Ha9 ].
% 0.43/0.62 exact (zenon_H91 zenon_H9c).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_Ha9); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ].
% 0.43/0.62 exact (zenon_Hab just27).
% 0.43/0.62 exact (zenon_H9f zenon_Haa).
% 0.43/0.62 apply zenon_H9e. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L12_ *)
% 0.43/0.62 assert (zenon_L13_ : (~((c_tptpcol_8_117763) = (c_tptpcol_8_117763))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_Hac.
% 0.43/0.62 apply zenon_Hac. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L13_ *)
% 0.43/0.62 assert (zenon_L14_ : (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_118118) (c_tptpcol_8_117763))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H70 zenon_Had.
% 0.43/0.62 elim (classic ((~((c_tptpcol_14_118118) = (c_tptpcol_9_118019)))/\(~(genls (c_tptpcol_14_118118) (c_tptpcol_9_118019))))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_Hb0. zenon_intro zenon_H9f.
% 0.43/0.62 apply (zenon_L12_); trivial.
% 0.43/0.62 cut ((genls (c_tptpcol_9_118019) (c_tptpcol_8_117763)) = (genls (c_tptpcol_14_118118) (c_tptpcol_8_117763))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_Had.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just25.
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_8_117763))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 0.43/0.62 cut (((c_tptpcol_9_118019) = (c_tptpcol_14_118118))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_Haf); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb2 ].
% 0.43/0.62 apply zenon_Hb3. zenon_intro zenon_Hb4.
% 0.43/0.62 elim (classic ((c_tptpcol_14_118118) = (c_tptpcol_14_118118))); [ zenon_intro zenon_H7a | zenon_intro zenon_H7b ].
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_14_118118)) = ((c_tptpcol_9_118019) = (c_tptpcol_14_118118))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_Hb1.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_H7a.
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_14_118118))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 0.43/0.62 cut (((c_tptpcol_14_118118) = (c_tptpcol_9_118019))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_Hb0 zenon_Hb4).
% 0.43/0.62 apply zenon_H7b. apply refl_equal.
% 0.43/0.62 apply zenon_H7b. apply refl_equal.
% 0.43/0.62 apply zenon_Hb2. zenon_intro zenon_Haa.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_14_118118)). zenon_intro zenon_H7c.
% 0.43/0.62 generalize (zenon_H7c (c_tptpcol_9_118019)). zenon_intro zenon_Hb5.
% 0.43/0.62 generalize (zenon_Hb5 (c_tptpcol_8_117763)). zenon_intro zenon_Hb6.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_Hb6); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb7 ].
% 0.43/0.62 exact (zenon_H9f zenon_Haa).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ].
% 0.43/0.62 exact (zenon_Hb9 just25).
% 0.43/0.62 exact (zenon_Had zenon_Hb8).
% 0.43/0.62 apply zenon_Hac. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L14_ *)
% 0.43/0.62 assert (zenon_L15_ : (~((c_tptpcol_6_112641) = (c_tptpcol_6_112641))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_Hba.
% 0.43/0.62 apply zenon_Hba. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L15_ *)
% 0.43/0.62 assert (zenon_L16_ : (~((c_tptpcol_5_110593) = (c_tptpcol_5_110593))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_Hbb.
% 0.43/0.62 apply zenon_Hbb. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L16_ *)
% 0.43/0.62 assert (zenon_L17_ : (~((c_tptpcol_4_106497) = (c_tptpcol_4_106497))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_Hbc.
% 0.43/0.62 apply zenon_Hbc. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L17_ *)
% 0.43/0.62 assert (zenon_L18_ : (~((c_tptpcol_3_98305) = (c_tptpcol_3_98305))) -> False).
% 0.43/0.62 do 0 intro. intros zenon_Hbd.
% 0.43/0.62 apply zenon_Hbd. apply refl_equal.
% 0.43/0.62 (* end of lemma zenon_L18_ *)
% 0.43/0.62 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 ARG2 : zenon_U, (forall NEW : zenon_U, (((disjointwith (c_tptpcol_3_98305) ARG2)/\(genls NEW (c_tptpcol_3_98305)))->(disjointwith NEW ARG2)))) -> (~(disjointwith (c_tptpcol_8_114177) (c_tptpcol_14_118118))) -> (disjointwith (c_tptpcol_3_98305) (c_tptpcol_14_118118)) -> False).
% 0.43/0.62 do 0 intro. intros zenon_H70 zenon_Hbe zenon_Hbf zenon_Hc0.
% 0.43/0.62 generalize (zenon_Hbe (c_tptpcol_14_118118)). zenon_intro zenon_Hc1.
% 0.43/0.62 generalize (zenon_Hc1 (c_tptpcol_8_114177)). zenon_intro zenon_Hc2.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ].
% 0.43/0.62 exact (zenon_Hc6 zenon_Hc0).
% 0.43/0.62 elim (classic ((~((c_tptpcol_8_114177) = (c_tptpcol_4_106497)))/\(~(genls (c_tptpcol_8_114177) (c_tptpcol_4_106497))))); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc8 ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hca. zenon_intro zenon_Hc9.
% 0.43/0.62 elim (classic ((~((c_tptpcol_8_114177) = (c_tptpcol_5_110593)))/\(~(genls (c_tptpcol_8_114177) (c_tptpcol_5_110593))))); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hcc ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd.
% 0.43/0.62 elim (classic ((~((c_tptpcol_8_114177) = (c_tptpcol_6_112641)))/\(~(genls (c_tptpcol_8_114177) (c_tptpcol_6_112641))))); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd0 ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1.
% 0.43/0.62 elim (classic ((~((c_tptpcol_8_114177) = (c_tptpcol_7_113665)))/\(~(genls (c_tptpcol_8_114177) (c_tptpcol_7_113665))))); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd4 ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hd6. zenon_intro zenon_Hd5.
% 0.43/0.62 exact (zenon_Hd5 just13).
% 0.43/0.62 cut ((genls (c_tptpcol_7_113665) (c_tptpcol_6_112641)) = (genls (c_tptpcol_8_114177) (c_tptpcol_6_112641))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_Hd1.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just11.
% 0.43/0.62 cut (((c_tptpcol_6_112641) = (c_tptpcol_6_112641))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 0.43/0.62 cut (((c_tptpcol_7_113665) = (c_tptpcol_8_114177))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_Hd4); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hd8 ].
% 0.43/0.62 apply zenon_Hd9. zenon_intro zenon_Hda.
% 0.43/0.62 elim (classic ((c_tptpcol_8_114177) = (c_tptpcol_8_114177))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ].
% 0.43/0.62 cut (((c_tptpcol_8_114177) = (c_tptpcol_8_114177)) = ((c_tptpcol_7_113665) = (c_tptpcol_8_114177))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_Hd7.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_Hdb.
% 0.43/0.62 cut (((c_tptpcol_8_114177) = (c_tptpcol_8_114177))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 0.43/0.62 cut (((c_tptpcol_8_114177) = (c_tptpcol_7_113665))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_Hd6 zenon_Hda).
% 0.43/0.62 apply zenon_Hdc. apply refl_equal.
% 0.43/0.62 apply zenon_Hdc. apply refl_equal.
% 0.43/0.62 apply zenon_Hd8. zenon_intro just13.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_8_114177)). zenon_intro zenon_Hdd.
% 0.43/0.62 generalize (zenon_Hdd (c_tptpcol_7_113665)). zenon_intro zenon_Hde.
% 0.43/0.62 generalize (zenon_Hde (c_tptpcol_6_112641)). zenon_intro zenon_Hdf.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He0 ].
% 0.43/0.62 exact (zenon_Hd5 just13).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_He0); [ zenon_intro zenon_He2 | zenon_intro zenon_He1 ].
% 0.43/0.62 exact (zenon_He2 just11).
% 0.43/0.62 exact (zenon_Hd1 zenon_He1).
% 0.43/0.62 apply zenon_Hba. apply refl_equal.
% 0.43/0.62 cut ((genls (c_tptpcol_6_112641) (c_tptpcol_5_110593)) = (genls (c_tptpcol_8_114177) (c_tptpcol_5_110593))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_Hcd.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just9.
% 0.43/0.62 cut (((c_tptpcol_5_110593) = (c_tptpcol_5_110593))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 0.43/0.62 cut (((c_tptpcol_6_112641) = (c_tptpcol_8_114177))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_Hd0); [ zenon_intro zenon_He5 | zenon_intro zenon_He4 ].
% 0.43/0.62 apply zenon_He5. zenon_intro zenon_He6.
% 0.43/0.62 elim (classic ((c_tptpcol_8_114177) = (c_tptpcol_8_114177))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ].
% 0.43/0.62 cut (((c_tptpcol_8_114177) = (c_tptpcol_8_114177)) = ((c_tptpcol_6_112641) = (c_tptpcol_8_114177))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_He3.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_Hdb.
% 0.43/0.62 cut (((c_tptpcol_8_114177) = (c_tptpcol_8_114177))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 0.43/0.62 cut (((c_tptpcol_8_114177) = (c_tptpcol_6_112641))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_Hd2 zenon_He6).
% 0.43/0.62 apply zenon_Hdc. apply refl_equal.
% 0.43/0.62 apply zenon_Hdc. apply refl_equal.
% 0.43/0.62 apply zenon_He4. zenon_intro zenon_He1.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_8_114177)). zenon_intro zenon_Hdd.
% 0.43/0.62 generalize (zenon_Hdd (c_tptpcol_6_112641)). zenon_intro zenon_He7.
% 0.43/0.62 generalize (zenon_He7 (c_tptpcol_5_110593)). zenon_intro zenon_He8.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_He8); [ zenon_intro zenon_Hd1 | zenon_intro zenon_He9 ].
% 0.43/0.62 exact (zenon_Hd1 zenon_He1).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 0.43/0.62 exact (zenon_Heb just9).
% 0.43/0.62 exact (zenon_Hcd zenon_Hea).
% 0.43/0.62 apply zenon_Hbb. apply refl_equal.
% 0.43/0.62 cut ((genls (c_tptpcol_5_110593) (c_tptpcol_4_106497)) = (genls (c_tptpcol_8_114177) (c_tptpcol_4_106497))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_Hc9.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just7.
% 0.43/0.62 cut (((c_tptpcol_4_106497) = (c_tptpcol_4_106497))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 0.43/0.62 cut (((c_tptpcol_5_110593) = (c_tptpcol_8_114177))); [idtac | apply NNPP; zenon_intro zenon_Hec].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_Hcc); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ].
% 0.43/0.62 apply zenon_Hee. zenon_intro zenon_Hef.
% 0.43/0.62 elim (classic ((c_tptpcol_8_114177) = (c_tptpcol_8_114177))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ].
% 0.43/0.62 cut (((c_tptpcol_8_114177) = (c_tptpcol_8_114177)) = ((c_tptpcol_5_110593) = (c_tptpcol_8_114177))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_Hec.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_Hdb.
% 0.43/0.62 cut (((c_tptpcol_8_114177) = (c_tptpcol_8_114177))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 0.43/0.62 cut (((c_tptpcol_8_114177) = (c_tptpcol_5_110593))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_Hce zenon_Hef).
% 0.43/0.62 apply zenon_Hdc. apply refl_equal.
% 0.43/0.62 apply zenon_Hdc. apply refl_equal.
% 0.43/0.62 apply zenon_Hed. zenon_intro zenon_Hea.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_8_114177)). zenon_intro zenon_Hdd.
% 0.43/0.62 generalize (zenon_Hdd (c_tptpcol_5_110593)). zenon_intro zenon_Hf0.
% 0.43/0.62 generalize (zenon_Hf0 (c_tptpcol_4_106497)). zenon_intro zenon_Hf1.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_Hf1); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf2 ].
% 0.43/0.62 exact (zenon_Hcd zenon_Hea).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ].
% 0.43/0.62 exact (zenon_Hf4 just7).
% 0.43/0.62 exact (zenon_Hc9 zenon_Hf3).
% 0.43/0.62 apply zenon_Hbc. apply refl_equal.
% 0.43/0.62 cut ((genls (c_tptpcol_4_106497) (c_tptpcol_3_98305)) = (genls (c_tptpcol_8_114177) (c_tptpcol_3_98305))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_Hc5.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just5.
% 0.43/0.62 cut (((c_tptpcol_3_98305) = (c_tptpcol_3_98305))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 0.43/0.62 cut (((c_tptpcol_4_106497) = (c_tptpcol_8_114177))); [idtac | apply NNPP; zenon_intro zenon_Hf5].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_Hc8); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf6 ].
% 0.43/0.62 apply zenon_Hf7. zenon_intro zenon_Hf8.
% 0.43/0.62 elim (classic ((c_tptpcol_8_114177) = (c_tptpcol_8_114177))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ].
% 0.43/0.62 cut (((c_tptpcol_8_114177) = (c_tptpcol_8_114177)) = ((c_tptpcol_4_106497) = (c_tptpcol_8_114177))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_Hf5.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_Hdb.
% 0.43/0.62 cut (((c_tptpcol_8_114177) = (c_tptpcol_8_114177))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 0.43/0.62 cut (((c_tptpcol_8_114177) = (c_tptpcol_4_106497))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_Hca zenon_Hf8).
% 0.43/0.62 apply zenon_Hdc. apply refl_equal.
% 0.43/0.62 apply zenon_Hdc. apply refl_equal.
% 0.43/0.62 apply zenon_Hf6. zenon_intro zenon_Hf3.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_8_114177)). zenon_intro zenon_Hdd.
% 0.43/0.62 generalize (zenon_Hdd (c_tptpcol_4_106497)). zenon_intro zenon_Hf9.
% 0.43/0.62 generalize (zenon_Hf9 (c_tptpcol_3_98305)). zenon_intro zenon_Hfa.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_Hfa); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hfb ].
% 0.43/0.62 exact (zenon_Hc9 zenon_Hf3).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hfc ].
% 0.43/0.62 exact (zenon_Hfd just5).
% 0.43/0.62 exact (zenon_Hc5 zenon_Hfc).
% 0.43/0.62 apply zenon_Hbd. apply refl_equal.
% 0.43/0.62 exact (zenon_Hbf zenon_Hc3).
% 0.43/0.62 (* end of lemma zenon_L19_ *)
% 0.43/0.62 apply NNPP. intro zenon_G.
% 0.43/0.62 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_H70 | zenon_intro zenon_Hfe ].
% 0.43/0.62 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_Hff. zenon_intro zenon_Hbf.
% 0.43/0.62 generalize (just56 (c_tptpcol_3_98305)). zenon_intro zenon_Hbe.
% 0.43/0.62 generalize (just55 (c_tptpcol_3_98305)). zenon_intro zenon_H100.
% 0.43/0.62 generalize (zenon_H100 (c_tptpcol_8_117763)). zenon_intro zenon_H101.
% 0.43/0.62 generalize (zenon_H100 (c_tptpcol_3_114688)). zenon_intro zenon_H102.
% 0.43/0.62 generalize (zenon_H102 (c_tptpcol_8_117763)). zenon_intro zenon_H103.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H103); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_H105); [ zenon_intro zenon_H107 | zenon_intro zenon_H106 ].
% 0.43/0.62 exact (zenon_H107 just37).
% 0.43/0.62 elim (classic ((~((c_tptpcol_8_117763) = (c_tptpcol_4_114689)))/\(~(genls (c_tptpcol_8_117763) (c_tptpcol_4_114689))))); [ zenon_intro zenon_H108 | zenon_intro zenon_H109 ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 0.43/0.62 elim (classic ((~((c_tptpcol_8_117763) = (c_tptpcol_5_114690)))/\(~(genls (c_tptpcol_8_117763) (c_tptpcol_5_114690))))); [ zenon_intro zenon_H10c | zenon_intro zenon_H10d ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10f. zenon_intro zenon_H10e.
% 0.43/0.62 elim (classic ((~((c_tptpcol_8_117763) = (c_tptpcol_6_116738)))/\(~(genls (c_tptpcol_8_117763) (c_tptpcol_6_116738))))); [ zenon_intro zenon_H110 | zenon_intro zenon_H111 ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H113. zenon_intro zenon_H112.
% 0.43/0.62 elim (classic ((~((c_tptpcol_8_117763) = (c_tptpcol_7_117762)))/\(~(genls (c_tptpcol_8_117763) (c_tptpcol_7_117762))))); [ zenon_intro zenon_H114 | zenon_intro zenon_H115 ].
% 0.43/0.62 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 0.43/0.62 exact (zenon_H116 just23).
% 0.43/0.62 cut ((genls (c_tptpcol_7_117762) (c_tptpcol_6_116738)) = (genls (c_tptpcol_8_117763) (c_tptpcol_6_116738))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H112.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just21.
% 0.43/0.62 cut (((c_tptpcol_6_116738) = (c_tptpcol_6_116738))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 0.43/0.62 cut (((c_tptpcol_7_117762) = (c_tptpcol_8_117763))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_H115); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ].
% 0.43/0.62 apply zenon_H11a. zenon_intro zenon_H11b.
% 0.43/0.62 elim (classic ((c_tptpcol_8_117763) = (c_tptpcol_8_117763))); [ zenon_intro zenon_H11c | zenon_intro zenon_Hac ].
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_8_117763)) = ((c_tptpcol_7_117762) = (c_tptpcol_8_117763))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H118.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_H11c.
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_8_117763))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_7_117762))); [idtac | apply NNPP; zenon_intro zenon_H117].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_H117 zenon_H11b).
% 0.43/0.62 apply zenon_Hac. apply refl_equal.
% 0.43/0.62 apply zenon_Hac. apply refl_equal.
% 0.43/0.62 apply zenon_H119. zenon_intro just23.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_8_117763)). zenon_intro zenon_H11d.
% 0.43/0.62 generalize (zenon_H11d (c_tptpcol_7_117762)). zenon_intro zenon_H11e.
% 0.43/0.62 generalize (zenon_H11e (c_tptpcol_6_116738)). zenon_intro zenon_H11f.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H11f); [ zenon_intro zenon_H116 | zenon_intro zenon_H120 ].
% 0.43/0.62 exact (zenon_H116 just23).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H120); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ].
% 0.43/0.62 exact (zenon_H122 just21).
% 0.43/0.62 exact (zenon_H112 zenon_H121).
% 0.43/0.62 apply zenon_H6b. apply refl_equal.
% 0.43/0.62 cut ((genls (c_tptpcol_6_116738) (c_tptpcol_5_114690)) = (genls (c_tptpcol_8_117763) (c_tptpcol_5_114690))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H10e.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just19.
% 0.43/0.62 cut (((c_tptpcol_5_114690) = (c_tptpcol_5_114690))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 0.43/0.62 cut (((c_tptpcol_6_116738) = (c_tptpcol_8_117763))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_H111); [ zenon_intro zenon_H125 | zenon_intro zenon_H124 ].
% 0.43/0.62 apply zenon_H125. zenon_intro zenon_H126.
% 0.43/0.62 elim (classic ((c_tptpcol_8_117763) = (c_tptpcol_8_117763))); [ zenon_intro zenon_H11c | zenon_intro zenon_Hac ].
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_8_117763)) = ((c_tptpcol_6_116738) = (c_tptpcol_8_117763))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H123.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_H11c.
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_8_117763))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_6_116738))); [idtac | apply NNPP; zenon_intro zenon_H113].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_H113 zenon_H126).
% 0.43/0.62 apply zenon_Hac. apply refl_equal.
% 0.43/0.62 apply zenon_Hac. apply refl_equal.
% 0.43/0.62 apply zenon_H124. zenon_intro zenon_H121.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_8_117763)). zenon_intro zenon_H11d.
% 0.43/0.62 generalize (zenon_H11d (c_tptpcol_6_116738)). zenon_intro zenon_H127.
% 0.43/0.62 generalize (zenon_H127 (c_tptpcol_5_114690)). zenon_intro zenon_H128.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H128); [ zenon_intro zenon_H112 | zenon_intro zenon_H129 ].
% 0.43/0.62 exact (zenon_H112 zenon_H121).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H129); [ zenon_intro zenon_H12b | zenon_intro zenon_H12a ].
% 0.43/0.62 exact (zenon_H12b just19).
% 0.43/0.62 exact (zenon_H10e zenon_H12a).
% 0.43/0.62 apply zenon_H6c. apply refl_equal.
% 0.43/0.62 cut ((genls (c_tptpcol_5_114690) (c_tptpcol_4_114689)) = (genls (c_tptpcol_8_117763) (c_tptpcol_4_114689))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H10a.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just17.
% 0.43/0.62 cut (((c_tptpcol_4_114689) = (c_tptpcol_4_114689))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 0.43/0.62 cut (((c_tptpcol_5_114690) = (c_tptpcol_8_117763))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_H10d); [ zenon_intro zenon_H12e | zenon_intro zenon_H12d ].
% 0.43/0.62 apply zenon_H12e. zenon_intro zenon_H12f.
% 0.43/0.62 elim (classic ((c_tptpcol_8_117763) = (c_tptpcol_8_117763))); [ zenon_intro zenon_H11c | zenon_intro zenon_Hac ].
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_8_117763)) = ((c_tptpcol_5_114690) = (c_tptpcol_8_117763))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H12c.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_H11c.
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_8_117763))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_5_114690))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_H10f zenon_H12f).
% 0.43/0.62 apply zenon_Hac. apply refl_equal.
% 0.43/0.62 apply zenon_Hac. apply refl_equal.
% 0.43/0.62 apply zenon_H12d. zenon_intro zenon_H12a.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_8_117763)). zenon_intro zenon_H11d.
% 0.43/0.62 generalize (zenon_H11d (c_tptpcol_5_114690)). zenon_intro zenon_H130.
% 0.43/0.62 generalize (zenon_H130 (c_tptpcol_4_114689)). zenon_intro zenon_H131.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H131); [ zenon_intro zenon_H10e | zenon_intro zenon_H132 ].
% 0.43/0.62 exact (zenon_H10e zenon_H12a).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H132); [ zenon_intro zenon_H134 | zenon_intro zenon_H133 ].
% 0.43/0.62 exact (zenon_H134 just17).
% 0.43/0.62 exact (zenon_H10a zenon_H133).
% 0.43/0.62 apply zenon_H6d. apply refl_equal.
% 0.43/0.62 cut ((genls (c_tptpcol_4_114689) (c_tptpcol_3_114688)) = (genls (c_tptpcol_8_117763) (c_tptpcol_3_114688))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H106.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact just15.
% 0.43/0.62 cut (((c_tptpcol_3_114688) = (c_tptpcol_3_114688))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 0.43/0.62 cut (((c_tptpcol_4_114689) = (c_tptpcol_8_117763))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 0.43/0.62 congruence.
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_H109); [ zenon_intro zenon_H137 | zenon_intro zenon_H136 ].
% 0.43/0.62 apply zenon_H137. zenon_intro zenon_H138.
% 0.43/0.62 elim (classic ((c_tptpcol_8_117763) = (c_tptpcol_8_117763))); [ zenon_intro zenon_H11c | zenon_intro zenon_Hac ].
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_8_117763)) = ((c_tptpcol_4_114689) = (c_tptpcol_8_117763))).
% 0.43/0.62 intro zenon_D_pnotp.
% 0.43/0.62 apply zenon_H135.
% 0.43/0.62 rewrite <- zenon_D_pnotp.
% 0.43/0.62 exact zenon_H11c.
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_8_117763))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 0.43/0.62 cut (((c_tptpcol_8_117763) = (c_tptpcol_4_114689))); [idtac | apply NNPP; zenon_intro zenon_H10b].
% 0.43/0.62 congruence.
% 0.43/0.62 exact (zenon_H10b zenon_H138).
% 0.43/0.62 apply zenon_Hac. apply refl_equal.
% 0.43/0.62 apply zenon_Hac. apply refl_equal.
% 0.43/0.62 apply zenon_H136. zenon_intro zenon_H133.
% 0.43/0.62 generalize (zenon_H70 (c_tptpcol_8_117763)). zenon_intro zenon_H11d.
% 0.43/0.62 generalize (zenon_H11d (c_tptpcol_4_114689)). zenon_intro zenon_H139.
% 0.43/0.62 generalize (zenon_H139 (c_tptpcol_3_114688)). zenon_intro zenon_H13a.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H13a); [ zenon_intro zenon_H10a | zenon_intro zenon_H13b ].
% 0.43/0.62 exact (zenon_H10a zenon_H133).
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H13b); [ zenon_intro zenon_H13d | zenon_intro zenon_H13c ].
% 0.43/0.62 exact (zenon_H13d just15).
% 0.43/0.62 exact (zenon_H106 zenon_H13c).
% 0.43/0.62 apply zenon_H6e. apply refl_equal.
% 0.43/0.62 generalize (zenon_H101 (c_tptpcol_14_118118)). zenon_intro zenon_H13e.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_H13f | zenon_intro zenon_Hc0 ].
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_H13f); [ zenon_intro zenon_H140 | zenon_intro zenon_Had ].
% 0.43/0.62 exact (zenon_H140 zenon_H104).
% 0.43/0.62 apply (zenon_L14_); trivial.
% 0.43/0.62 apply (zenon_L19_); trivial.
% 0.43/0.62 apply zenon_Hfe. zenon_intro zenon_Tx_mj. apply NNPP. zenon_intro zenon_H142.
% 0.43/0.62 apply zenon_H142. zenon_intro zenon_Ty_ml. apply NNPP. zenon_intro zenon_H144.
% 0.43/0.62 apply zenon_H144. zenon_intro zenon_Tz_mn. apply NNPP. zenon_intro zenon_H146.
% 0.43/0.62 apply (zenon_notimply_s _ _ zenon_H146). zenon_intro zenon_H148. zenon_intro zenon_H147.
% 0.43/0.62 apply (zenon_notimply_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149.
% 0.43/0.62 generalize (just97 zenon_Tx_mj). zenon_intro zenon_H14b.
% 0.43/0.62 generalize (zenon_H14b zenon_Ty_ml). zenon_intro zenon_H14c.
% 0.43/0.62 generalize (zenon_H14c zenon_Tz_mn). zenon_intro zenon_H14d.
% 0.43/0.62 apply (zenon_imply_s _ _ zenon_H14d); [ zenon_intro zenon_H14f | zenon_intro zenon_H14e ].
% 0.43/0.62 apply (zenon_notand_s _ _ zenon_H14f); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ].
% 0.43/0.62 exact (zenon_H151 zenon_H148).
% 0.43/0.62 exact (zenon_H150 zenon_H14a).
% 0.43/0.62 exact (zenon_H149 zenon_H14e).
% 0.43/0.62 Qed.
% 0.43/0.62 % SZS output end Proof
% 0.43/0.62 (* END-PROOF *)
% 0.43/0.62 nodes searched: 4590
% 0.43/0.62 max branch formulas: 2330
% 0.43/0.62 proof nodes created: 91
% 0.43/0.62 formulas created: 26380
% 0.43/0.62
%------------------------------------------------------------------------------