%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : CSR052+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.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 00:02:13 EDT 2022 % Result : Theorem 0.20s 0.52s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : CSR052+1 : TPTP v8.1.0. Released v3.4.0. % 0.08/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n007.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sat Jun 11 00:54:07 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.52 (* PROOF-FOUND *) % 0.20/0.52 % SZS status Theorem % 0.20/0.52 (* BEGIN-PROOF *) % 0.20/0.52 % SZS output start Proof % 0.20/0.52 Theorem query52 : ((mtvisible (f_contentmtofcdafromeventfn (f_urlreferentfn (f_urlfn (s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml))) (c_translation_33)))->(genls (c_tptpcol_15_40430) (c_tptpcol_7_39939))). % 0.20/0.52 Proof. % 0.20/0.52 apply NNPP. intro zenon_G. % 0.20/0.52 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_H54 | zenon_intro zenon_H55 ]. % 0.20/0.52 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.20/0.52 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_8_39940)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_8_39940))))); [ zenon_intro zenon_H58 | zenon_intro zenon_H59 ]. % 0.20/0.52 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.20/0.52 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_9_40196)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_9_40196))))); [ zenon_intro zenon_H5c | zenon_intro zenon_H5d ]. % 0.20/0.52 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H5f. zenon_intro zenon_H5e. % 0.20/0.52 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_10_40324)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_10_40324))))); [ zenon_intro zenon_H60 | zenon_intro zenon_H61 ]. % 0.20/0.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H63. zenon_intro zenon_H62. % 0.20/0.52 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_11_40388)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_11_40388))))); [ zenon_intro zenon_H64 | zenon_intro zenon_H65 ]. % 0.20/0.52 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H67. zenon_intro zenon_H66. % 0.20/0.52 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_12_40420)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_12_40420))))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ]. % 0.20/0.52 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H6b. zenon_intro zenon_H6a. % 0.20/0.52 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_13_40421)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_13_40421))))); [ zenon_intro zenon_H6c | zenon_intro zenon_H6d ]. % 0.20/0.52 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.20/0.52 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_14_40429)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_14_40429))))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ]. % 0.20/0.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.20/0.52 exact (zenon_H72 just22). % 0.20/0.52 cut ((genls (c_tptpcol_14_40429) (c_tptpcol_13_40421)) = (genls (c_tptpcol_15_40430) (c_tptpcol_13_40421))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_H6e. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact just20. % 0.20/0.52 cut (((c_tptpcol_13_40421) = (c_tptpcol_13_40421))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 0.20/0.52 cut (((c_tptpcol_14_40429) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 0.20/0.52 congruence. % 0.20/0.52 apply (zenon_notand_s _ _ zenon_H71); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ]. % 0.20/0.52 apply zenon_H77. zenon_intro zenon_H78. % 0.20/0.52 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_14_40429) = (c_tptpcol_15_40430))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_H75. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact zenon_H79. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_14_40429))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 0.20/0.52 congruence. % 0.20/0.52 exact (zenon_H73 zenon_H78). % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_H76. zenon_intro just22. % 0.20/0.52 generalize (zenon_H54 (c_tptpcol_15_40430)). zenon_intro zenon_H7b. % 0.20/0.52 generalize (zenon_H7b (c_tptpcol_14_40429)). zenon_intro zenon_H7c. % 0.20/0.52 generalize (zenon_H7c (c_tptpcol_13_40421)). zenon_intro zenon_H7d. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H7d); [ zenon_intro zenon_H72 | zenon_intro zenon_H7e ]. % 0.20/0.52 exact (zenon_H72 just22). % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H7e); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ]. % 0.20/0.52 exact (zenon_H80 just20). % 0.20/0.52 exact (zenon_H6e zenon_H7f). % 0.20/0.52 apply zenon_H74. apply refl_equal. % 0.20/0.52 cut ((genls (c_tptpcol_13_40421) (c_tptpcol_12_40420)) = (genls (c_tptpcol_15_40430) (c_tptpcol_12_40420))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_H6a. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact just18. % 0.20/0.52 cut (((c_tptpcol_12_40420) = (c_tptpcol_12_40420))); [idtac | apply NNPP; zenon_intro zenon_H81]. % 0.20/0.52 cut (((c_tptpcol_13_40421) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 0.20/0.52 congruence. % 0.20/0.52 apply (zenon_notand_s _ _ zenon_H6d); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ]. % 0.20/0.52 apply zenon_H84. zenon_intro zenon_H85. % 0.20/0.52 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_13_40421) = (c_tptpcol_15_40430))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_H82. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact zenon_H79. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_13_40421))); [idtac | apply NNPP; zenon_intro zenon_H6f]. % 0.20/0.52 congruence. % 0.20/0.52 exact (zenon_H6f zenon_H85). % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_H83. zenon_intro zenon_H7f. % 0.20/0.52 generalize (zenon_H54 (c_tptpcol_15_40430)). zenon_intro zenon_H7b. % 0.20/0.52 generalize (zenon_H7b (c_tptpcol_13_40421)). zenon_intro zenon_H86. % 0.20/0.52 generalize (zenon_H86 (c_tptpcol_12_40420)). zenon_intro zenon_H87. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H87); [ zenon_intro zenon_H6e | zenon_intro zenon_H88 ]. % 0.20/0.52 exact (zenon_H6e zenon_H7f). % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H88); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ]. % 0.20/0.52 exact (zenon_H8a just18). % 0.20/0.52 exact (zenon_H6a zenon_H89). % 0.20/0.52 apply zenon_H81. apply refl_equal. % 0.20/0.52 cut ((genls (c_tptpcol_12_40420) (c_tptpcol_11_40388)) = (genls (c_tptpcol_15_40430) (c_tptpcol_11_40388))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_H66. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact just16. % 0.20/0.52 cut (((c_tptpcol_11_40388) = (c_tptpcol_11_40388))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 0.20/0.52 cut (((c_tptpcol_12_40420) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 0.20/0.52 congruence. % 0.20/0.52 apply (zenon_notand_s _ _ zenon_H69); [ zenon_intro zenon_H8e | zenon_intro zenon_H8d ]. % 0.20/0.52 apply zenon_H8e. zenon_intro zenon_H8f. % 0.20/0.52 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_12_40420) = (c_tptpcol_15_40430))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_H8c. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact zenon_H79. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_12_40420))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 0.20/0.52 congruence. % 0.20/0.52 exact (zenon_H6b zenon_H8f). % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_H8d. zenon_intro zenon_H89. % 0.20/0.52 generalize (zenon_H54 (c_tptpcol_15_40430)). zenon_intro zenon_H7b. % 0.20/0.52 generalize (zenon_H7b (c_tptpcol_12_40420)). zenon_intro zenon_H90. % 0.20/0.52 generalize (zenon_H90 (c_tptpcol_11_40388)). zenon_intro zenon_H91. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H91); [ zenon_intro zenon_H6a | zenon_intro zenon_H92 ]. % 0.20/0.52 exact (zenon_H6a zenon_H89). % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H92); [ zenon_intro zenon_H94 | zenon_intro zenon_H93 ]. % 0.20/0.52 exact (zenon_H94 just16). % 0.20/0.52 exact (zenon_H66 zenon_H93). % 0.20/0.52 apply zenon_H8b. apply refl_equal. % 0.20/0.52 cut ((genls (c_tptpcol_11_40388) (c_tptpcol_10_40324)) = (genls (c_tptpcol_15_40430) (c_tptpcol_10_40324))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_H62. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact just14. % 0.20/0.52 cut (((c_tptpcol_10_40324) = (c_tptpcol_10_40324))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 0.20/0.52 cut (((c_tptpcol_11_40388) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 0.20/0.52 congruence. % 0.20/0.52 apply (zenon_notand_s _ _ zenon_H65); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 0.20/0.52 apply zenon_H98. zenon_intro zenon_H99. % 0.20/0.52 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_11_40388) = (c_tptpcol_15_40430))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_H96. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact zenon_H79. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_11_40388))); [idtac | apply NNPP; zenon_intro zenon_H67]. % 0.20/0.52 congruence. % 0.20/0.52 exact (zenon_H67 zenon_H99). % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_H97. zenon_intro zenon_H93. % 0.20/0.52 generalize (zenon_H54 (c_tptpcol_15_40430)). zenon_intro zenon_H7b. % 0.20/0.52 generalize (zenon_H7b (c_tptpcol_11_40388)). zenon_intro zenon_H9a. % 0.20/0.52 generalize (zenon_H9a (c_tptpcol_10_40324)). zenon_intro zenon_H9b. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H9b); [ zenon_intro zenon_H66 | zenon_intro zenon_H9c ]. % 0.20/0.52 exact (zenon_H66 zenon_H93). % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H9c); [ zenon_intro zenon_H9e | zenon_intro zenon_H9d ]. % 0.20/0.52 exact (zenon_H9e just14). % 0.20/0.52 exact (zenon_H62 zenon_H9d). % 0.20/0.52 apply zenon_H95. apply refl_equal. % 0.20/0.52 cut ((genls (c_tptpcol_10_40324) (c_tptpcol_9_40196)) = (genls (c_tptpcol_15_40430) (c_tptpcol_9_40196))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_H5e. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact just12. % 0.20/0.52 cut (((c_tptpcol_9_40196) = (c_tptpcol_9_40196))); [idtac | apply NNPP; zenon_intro zenon_H9f]. % 0.20/0.52 cut (((c_tptpcol_10_40324) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 0.20/0.52 congruence. % 0.20/0.52 apply (zenon_notand_s _ _ zenon_H61); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ]. % 0.20/0.52 apply zenon_Ha2. zenon_intro zenon_Ha3. % 0.20/0.52 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_10_40324) = (c_tptpcol_15_40430))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_Ha0. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact zenon_H79. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_10_40324))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 0.20/0.52 congruence. % 0.20/0.52 exact (zenon_H63 zenon_Ha3). % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_Ha1. zenon_intro zenon_H9d. % 0.20/0.52 generalize (zenon_H54 (c_tptpcol_15_40430)). zenon_intro zenon_H7b. % 0.20/0.52 generalize (zenon_H7b (c_tptpcol_10_40324)). zenon_intro zenon_Ha4. % 0.20/0.52 generalize (zenon_Ha4 (c_tptpcol_9_40196)). zenon_intro zenon_Ha5. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_Ha5); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha6 ]. % 0.20/0.52 exact (zenon_H62 zenon_H9d). % 0.20/0.52 apply (zenon_imply_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ]. % 0.20/0.52 exact (zenon_Ha8 just12). % 0.20/0.52 exact (zenon_H5e zenon_Ha7). % 0.20/0.52 apply zenon_H9f. apply refl_equal. % 0.20/0.52 cut ((genls (c_tptpcol_9_40196) (c_tptpcol_8_39940)) = (genls (c_tptpcol_15_40430) (c_tptpcol_8_39940))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_H5a. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact just10. % 0.20/0.52 cut (((c_tptpcol_8_39940) = (c_tptpcol_8_39940))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 0.20/0.52 cut (((c_tptpcol_9_40196) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 0.20/0.52 congruence. % 0.20/0.52 apply (zenon_notand_s _ _ zenon_H5d); [ zenon_intro zenon_Hac | zenon_intro zenon_Hab ]. % 0.20/0.52 apply zenon_Hac. zenon_intro zenon_Had. % 0.20/0.52 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_9_40196) = (c_tptpcol_15_40430))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_Haa. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact zenon_H79. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_9_40196))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 0.20/0.52 congruence. % 0.20/0.52 exact (zenon_H5f zenon_Had). % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_Hab. zenon_intro zenon_Ha7. % 0.20/0.52 generalize (zenon_H54 (c_tptpcol_15_40430)). zenon_intro zenon_H7b. % 0.20/0.52 generalize (zenon_H7b (c_tptpcol_9_40196)). zenon_intro zenon_Hae. % 0.20/0.52 generalize (zenon_Hae (c_tptpcol_8_39940)). zenon_intro zenon_Haf. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_Haf); [ zenon_intro zenon_H5e | zenon_intro zenon_Hb0 ]. % 0.20/0.52 exact (zenon_H5e zenon_Ha7). % 0.20/0.52 apply (zenon_imply_s _ _ zenon_Hb0); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb1 ]. % 0.20/0.52 exact (zenon_Hb2 just10). % 0.20/0.52 exact (zenon_H5a zenon_Hb1). % 0.20/0.52 apply zenon_Ha9. apply refl_equal. % 0.20/0.52 cut ((genls (c_tptpcol_8_39940) (c_tptpcol_7_39939)) = (genls (c_tptpcol_15_40430) (c_tptpcol_7_39939))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_H56. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact just8. % 0.20/0.52 cut (((c_tptpcol_7_39939) = (c_tptpcol_7_39939))); [idtac | apply NNPP; zenon_intro zenon_Hb3]. % 0.20/0.52 cut (((c_tptpcol_8_39940) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 0.20/0.52 congruence. % 0.20/0.52 apply (zenon_notand_s _ _ zenon_H59); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 0.20/0.52 apply zenon_Hb6. zenon_intro zenon_Hb7. % 0.20/0.52 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_8_39940) = (c_tptpcol_15_40430))). % 0.20/0.52 intro zenon_D_pnotp. % 0.20/0.52 apply zenon_Hb4. % 0.20/0.52 rewrite <- zenon_D_pnotp. % 0.20/0.52 exact zenon_H79. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 0.20/0.52 cut (((c_tptpcol_15_40430) = (c_tptpcol_8_39940))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 0.20/0.52 congruence. % 0.20/0.52 exact (zenon_H5b zenon_Hb7). % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_H7a. apply refl_equal. % 0.20/0.52 apply zenon_Hb5. zenon_intro zenon_Hb1. % 0.20/0.52 generalize (zenon_H54 (c_tptpcol_15_40430)). zenon_intro zenon_H7b. % 0.20/0.52 generalize (zenon_H7b (c_tptpcol_8_39940)). zenon_intro zenon_Hb8. % 0.20/0.52 generalize (zenon_Hb8 (c_tptpcol_7_39939)). zenon_intro zenon_Hb9. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_Hb9); [ zenon_intro zenon_H5a | zenon_intro zenon_Hba ]. % 0.20/0.52 exact (zenon_H5a zenon_Hb1). % 0.20/0.52 apply (zenon_imply_s _ _ zenon_Hba); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbb ]. % 0.20/0.52 exact (zenon_Hbc just8). % 0.20/0.52 exact (zenon_H56 zenon_Hbb). % 0.20/0.52 apply zenon_Hb3. apply refl_equal. % 0.20/0.52 apply zenon_H55. zenon_intro zenon_Tx_hh. apply NNPP. zenon_intro zenon_Hbe. % 0.20/0.52 apply zenon_Hbe. zenon_intro zenon_Ty_hj. apply NNPP. zenon_intro zenon_Hc0. % 0.20/0.52 apply zenon_Hc0. zenon_intro zenon_Tz_hl. apply NNPP. zenon_intro zenon_Hc2. % 0.20/0.52 apply (zenon_notimply_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.20/0.52 apply (zenon_notimply_s _ _ zenon_Hc3). zenon_intro zenon_Hc6. zenon_intro zenon_Hc5. % 0.20/0.52 generalize (just85 zenon_Tx_hh). zenon_intro zenon_Hc7. % 0.20/0.52 generalize (zenon_Hc7 zenon_Ty_hj). zenon_intro zenon_Hc8. % 0.20/0.52 generalize (zenon_Hc8 zenon_Tz_hl). zenon_intro zenon_Hc9. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_Hc9); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hca ]. % 0.20/0.52 apply (zenon_notand_s _ _ zenon_Hcb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcc ]. % 0.20/0.52 exact (zenon_Hcd zenon_Hc4). % 0.20/0.52 exact (zenon_Hcc zenon_Hc6). % 0.20/0.52 exact (zenon_Hc5 zenon_Hca). % 0.20/0.52 Qed. % 0.20/0.52 % SZS output end Proof % 0.20/0.52 (* END-PROOF *) % 0.20/0.52 nodes searched: 187 % 0.20/0.52 max branch formulas: 266 % 0.20/0.52 proof nodes created: 16 % 0.20/0.52 formulas created: 2006 % 0.20/0.52 %------------------------------------------------------------------------------