%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : CSR052+3 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.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 1.23s 1.45s % Output : Proof 1.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : CSR052+3 : TPTP v8.1.0. Released v3.4.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n018.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 09:51:55 EDT 2022 % 0.12/0.33 % CPUTime : % 1.23/1.45 (* PROOF-FOUND *) % 1.23/1.45 % SZS status Theorem % 1.23/1.45 (* BEGIN-PROOF *) % 1.23/1.45 % SZS output start Proof % 1.23/1.45 Theorem query152 : ((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))). % 1.23/1.45 Proof. % 1.23/1.45 assert (zenon_L1_ : (~((c_tptpcol_13_40421) = (c_tptpcol_13_40421))) -> False). % 1.23/1.45 do 0 intro. intros zenon_H1ce5. % 1.23/1.45 apply zenon_H1ce5. apply refl_equal. % 1.23/1.45 (* end of lemma zenon_L1_ *) % 1.23/1.45 assert (zenon_L2_ : (~((c_tptpcol_12_40420) = (c_tptpcol_12_40420))) -> False). % 1.23/1.45 do 0 intro. intros zenon_H1ce6. % 1.23/1.45 apply zenon_H1ce6. apply refl_equal. % 1.23/1.45 (* end of lemma zenon_L2_ *) % 1.23/1.45 assert (zenon_L3_ : (~((c_tptpcol_10_40324) = (c_tptpcol_10_40324))) -> False). % 1.23/1.45 do 0 intro. intros zenon_H1ce7. % 1.23/1.45 apply zenon_H1ce7. apply refl_equal. % 1.23/1.45 (* end of lemma zenon_L3_ *) % 1.23/1.45 apply NNPP. intro zenon_G. % 1.23/1.45 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_H1ce8 | zenon_intro zenon_H1ce9 ]. % 1.23/1.45 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H1ceb. zenon_intro zenon_H1cea. % 1.23/1.45 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_8_39940)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_8_39940))))); [ zenon_intro zenon_H1cec | zenon_intro zenon_H1ced ]. % 1.23/1.45 apply (zenon_and_s _ _ zenon_H1cec). zenon_intro zenon_H1cef. zenon_intro zenon_H1cee. % 1.23/1.45 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_9_40196)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_9_40196))))); [ zenon_intro zenon_H1cf0 | zenon_intro zenon_H1cf1 ]. % 1.23/1.45 apply (zenon_and_s _ _ zenon_H1cf0). zenon_intro zenon_H1cf3. zenon_intro zenon_H1cf2. % 1.23/1.45 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_10_40324)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_10_40324))))); [ zenon_intro zenon_H1cf4 | zenon_intro zenon_H1cf5 ]. % 1.23/1.45 apply (zenon_and_s _ _ zenon_H1cf4). zenon_intro zenon_H1cf7. zenon_intro zenon_H1cf6. % 1.23/1.45 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_11_40388)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_11_40388))))); [ zenon_intro zenon_H1cf8 | zenon_intro zenon_H1cf9 ]. % 1.23/1.45 apply (zenon_and_s _ _ zenon_H1cf8). zenon_intro zenon_H1cfb. zenon_intro zenon_H1cfa. % 1.23/1.45 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_12_40420)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_12_40420))))); [ zenon_intro zenon_H1cfc | zenon_intro zenon_H1cfd ]. % 1.23/1.45 apply (zenon_and_s _ _ zenon_H1cfc). zenon_intro zenon_H1cff. zenon_intro zenon_H1cfe. % 1.23/1.45 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_13_40421)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_13_40421))))); [ zenon_intro zenon_H1d00 | zenon_intro zenon_H1d01 ]. % 1.23/1.45 apply (zenon_and_s _ _ zenon_H1d00). zenon_intro zenon_H1d03. zenon_intro zenon_H1d02. % 1.23/1.45 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_14_40429)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_14_40429))))); [ zenon_intro zenon_H1d04 | zenon_intro zenon_H1d05 ]. % 1.23/1.45 apply (zenon_and_s _ _ zenon_H1d04). zenon_intro zenon_H1d07. zenon_intro zenon_H1d06. % 1.23/1.45 exact (zenon_H1d06 ax2_4206). % 1.23/1.45 cut ((genls (c_tptpcol_14_40429) (c_tptpcol_13_40421)) = (genls (c_tptpcol_15_40430) (c_tptpcol_13_40421))). % 1.23/1.45 intro zenon_D_pnotp. % 1.23/1.45 apply zenon_H1d02. % 1.23/1.45 rewrite <- zenon_D_pnotp. % 1.23/1.45 exact ax2_2327. % 1.23/1.45 cut (((c_tptpcol_13_40421) = (c_tptpcol_13_40421))); [idtac | apply NNPP; zenon_intro zenon_H1ce5]. % 1.23/1.45 cut (((c_tptpcol_14_40429) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d08]. % 1.23/1.45 congruence. % 1.23/1.45 apply (zenon_notand_s _ _ zenon_H1d05); [ zenon_intro zenon_H1d0a | zenon_intro zenon_H1d09 ]. % 1.23/1.45 apply zenon_H1d0a. zenon_intro zenon_H1d0b. % 1.23/1.45 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H1d0c | zenon_intro zenon_H1d0d ]. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_14_40429) = (c_tptpcol_15_40430))). % 1.23/1.45 intro zenon_D_pnotp. % 1.23/1.45 apply zenon_H1d08. % 1.23/1.45 rewrite <- zenon_D_pnotp. % 1.23/1.45 exact zenon_H1d0c. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d0d]. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_14_40429))); [idtac | apply NNPP; zenon_intro zenon_H1d07]. % 1.23/1.45 congruence. % 1.23/1.45 exact (zenon_H1d07 zenon_H1d0b). % 1.23/1.45 apply zenon_H1d0d. apply refl_equal. % 1.23/1.45 apply zenon_H1d0d. apply refl_equal. % 1.23/1.45 apply zenon_H1d09. zenon_intro ax2_4206. % 1.23/1.45 generalize (zenon_H1ce8 (c_tptpcol_15_40430)). zenon_intro zenon_H1d0e. % 1.23/1.45 generalize (zenon_H1d0e (c_tptpcol_14_40429)). zenon_intro zenon_H1d0f. % 1.23/1.45 generalize (zenon_H1d0f (c_tptpcol_13_40421)). zenon_intro zenon_H1d10. % 1.23/1.45 apply (zenon_imply_s _ _ zenon_H1d10); [ zenon_intro zenon_H1d06 | zenon_intro zenon_H1d11 ]. % 1.23/1.45 exact (zenon_H1d06 ax2_4206). % 1.23/1.45 apply (zenon_imply_s _ _ zenon_H1d11); [ zenon_intro zenon_H1d13 | zenon_intro zenon_H1d12 ]. % 1.23/1.45 exact (zenon_H1d13 ax2_2327). % 1.23/1.45 exact (zenon_H1d02 zenon_H1d12). % 1.23/1.45 apply zenon_H1ce5. apply refl_equal. % 1.23/1.45 cut ((genls (c_tptpcol_13_40421) (c_tptpcol_12_40420)) = (genls (c_tptpcol_15_40430) (c_tptpcol_12_40420))). % 1.23/1.45 intro zenon_D_pnotp. % 1.23/1.45 apply zenon_H1cfe. % 1.23/1.45 rewrite <- zenon_D_pnotp. % 1.23/1.45 exact ax2_424. % 1.23/1.45 cut (((c_tptpcol_12_40420) = (c_tptpcol_12_40420))); [idtac | apply NNPP; zenon_intro zenon_H1ce6]. % 1.23/1.45 cut (((c_tptpcol_13_40421) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d14]. % 1.23/1.45 congruence. % 1.23/1.45 apply (zenon_notand_s _ _ zenon_H1d01); [ zenon_intro zenon_H1d16 | zenon_intro zenon_H1d15 ]. % 1.23/1.45 apply zenon_H1d16. zenon_intro zenon_H1d17. % 1.23/1.45 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H1d0c | zenon_intro zenon_H1d0d ]. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_13_40421) = (c_tptpcol_15_40430))). % 1.23/1.45 intro zenon_D_pnotp. % 1.23/1.45 apply zenon_H1d14. % 1.23/1.45 rewrite <- zenon_D_pnotp. % 1.23/1.45 exact zenon_H1d0c. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d0d]. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_13_40421))); [idtac | apply NNPP; zenon_intro zenon_H1d03]. % 1.23/1.45 congruence. % 1.23/1.45 exact (zenon_H1d03 zenon_H1d17). % 1.23/1.45 apply zenon_H1d0d. apply refl_equal. % 1.23/1.45 apply zenon_H1d0d. apply refl_equal. % 1.23/1.45 apply zenon_H1d15. zenon_intro zenon_H1d12. % 1.23/1.45 generalize (zenon_H1ce8 (c_tptpcol_15_40430)). zenon_intro zenon_H1d0e. % 1.23/1.45 generalize (zenon_H1d0e (c_tptpcol_13_40421)). zenon_intro zenon_H1d18. % 1.23/1.45 generalize (zenon_H1d18 (c_tptpcol_12_40420)). zenon_intro zenon_H1d19. % 1.23/1.45 apply (zenon_imply_s _ _ zenon_H1d19); [ zenon_intro zenon_H1d02 | zenon_intro zenon_H1d1a ]. % 1.23/1.45 exact (zenon_H1d02 zenon_H1d12). % 1.23/1.45 apply (zenon_imply_s _ _ zenon_H1d1a); [ zenon_intro zenon_H1d1c | zenon_intro zenon_H1d1b ]. % 1.23/1.45 exact (zenon_H1d1c ax2_424). % 1.23/1.45 exact (zenon_H1cfe zenon_H1d1b). % 1.23/1.45 apply zenon_H1ce6. apply refl_equal. % 1.23/1.45 cut ((genls (c_tptpcol_12_40420) (c_tptpcol_11_40388)) = (genls (c_tptpcol_15_40430) (c_tptpcol_11_40388))). % 1.23/1.45 intro zenon_D_pnotp. % 1.23/1.45 apply zenon_H1cfa. % 1.23/1.45 rewrite <- zenon_D_pnotp. % 1.23/1.45 exact ax2_1851. % 1.23/1.45 cut (((c_tptpcol_11_40388) = (c_tptpcol_11_40388))); [idtac | apply NNPP; zenon_intro zenon_H1d1d]. % 1.23/1.45 cut (((c_tptpcol_12_40420) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d1e]. % 1.23/1.45 congruence. % 1.23/1.45 apply (zenon_notand_s _ _ zenon_H1cfd); [ zenon_intro zenon_H1d20 | zenon_intro zenon_H1d1f ]. % 1.23/1.45 apply zenon_H1d20. zenon_intro zenon_H1d21. % 1.23/1.45 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H1d0c | zenon_intro zenon_H1d0d ]. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_12_40420) = (c_tptpcol_15_40430))). % 1.23/1.45 intro zenon_D_pnotp. % 1.23/1.45 apply zenon_H1d1e. % 1.23/1.45 rewrite <- zenon_D_pnotp. % 1.23/1.45 exact zenon_H1d0c. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d0d]. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_12_40420))); [idtac | apply NNPP; zenon_intro zenon_H1cff]. % 1.23/1.45 congruence. % 1.23/1.45 exact (zenon_H1cff zenon_H1d21). % 1.23/1.45 apply zenon_H1d0d. apply refl_equal. % 1.23/1.45 apply zenon_H1d0d. apply refl_equal. % 1.23/1.45 apply zenon_H1d1f. zenon_intro zenon_H1d1b. % 1.23/1.45 generalize (zenon_H1ce8 (c_tptpcol_15_40430)). zenon_intro zenon_H1d0e. % 1.23/1.45 generalize (zenon_H1d0e (c_tptpcol_12_40420)). zenon_intro zenon_H1d22. % 1.23/1.45 generalize (zenon_H1d22 (c_tptpcol_11_40388)). zenon_intro zenon_H1d23. % 1.23/1.45 apply (zenon_imply_s _ _ zenon_H1d23); [ zenon_intro zenon_H1cfe | zenon_intro zenon_H1d24 ]. % 1.23/1.45 exact (zenon_H1cfe zenon_H1d1b). % 1.23/1.45 apply (zenon_imply_s _ _ zenon_H1d24); [ zenon_intro zenon_H1d26 | zenon_intro zenon_H1d25 ]. % 1.23/1.45 exact (zenon_H1d26 ax2_1851). % 1.23/1.45 exact (zenon_H1cfa zenon_H1d25). % 1.23/1.45 apply zenon_H1d1d. apply refl_equal. % 1.23/1.45 cut ((genls (c_tptpcol_11_40388) (c_tptpcol_10_40324)) = (genls (c_tptpcol_15_40430) (c_tptpcol_10_40324))). % 1.23/1.45 intro zenon_D_pnotp. % 1.23/1.45 apply zenon_H1cf6. % 1.23/1.45 rewrite <- zenon_D_pnotp. % 1.23/1.45 exact ax2_1573. % 1.23/1.45 cut (((c_tptpcol_10_40324) = (c_tptpcol_10_40324))); [idtac | apply NNPP; zenon_intro zenon_H1ce7]. % 1.23/1.45 cut (((c_tptpcol_11_40388) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d27]. % 1.23/1.45 congruence. % 1.23/1.45 apply (zenon_notand_s _ _ zenon_H1cf9); [ zenon_intro zenon_H1d29 | zenon_intro zenon_H1d28 ]. % 1.23/1.45 apply zenon_H1d29. zenon_intro zenon_H1d2a. % 1.23/1.45 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H1d0c | zenon_intro zenon_H1d0d ]. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_11_40388) = (c_tptpcol_15_40430))). % 1.23/1.45 intro zenon_D_pnotp. % 1.23/1.45 apply zenon_H1d27. % 1.23/1.45 rewrite <- zenon_D_pnotp. % 1.23/1.45 exact zenon_H1d0c. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d0d]. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_11_40388))); [idtac | apply NNPP; zenon_intro zenon_H1cfb]. % 1.23/1.45 congruence. % 1.23/1.45 exact (zenon_H1cfb zenon_H1d2a). % 1.23/1.45 apply zenon_H1d0d. apply refl_equal. % 1.23/1.45 apply zenon_H1d0d. apply refl_equal. % 1.23/1.45 apply zenon_H1d28. zenon_intro zenon_H1d25. % 1.23/1.45 generalize (zenon_H1ce8 (c_tptpcol_15_40430)). zenon_intro zenon_H1d0e. % 1.23/1.45 generalize (zenon_H1d0e (c_tptpcol_11_40388)). zenon_intro zenon_H1d2b. % 1.23/1.45 generalize (zenon_H1d2b (c_tptpcol_10_40324)). zenon_intro zenon_H1d2c. % 1.23/1.45 apply (zenon_imply_s _ _ zenon_H1d2c); [ zenon_intro zenon_H1cfa | zenon_intro zenon_H1d2d ]. % 1.23/1.45 exact (zenon_H1cfa zenon_H1d25). % 1.23/1.45 apply (zenon_imply_s _ _ zenon_H1d2d); [ zenon_intro zenon_H1d2f | zenon_intro zenon_H1d2e ]. % 1.23/1.45 exact (zenon_H1d2f ax2_1573). % 1.23/1.45 exact (zenon_H1cf6 zenon_H1d2e). % 1.23/1.45 apply zenon_H1ce7. apply refl_equal. % 1.23/1.45 cut ((genls (c_tptpcol_10_40324) (c_tptpcol_9_40196)) = (genls (c_tptpcol_15_40430) (c_tptpcol_9_40196))). % 1.23/1.45 intro zenon_D_pnotp. % 1.23/1.45 apply zenon_H1cf2. % 1.23/1.45 rewrite <- zenon_D_pnotp. % 1.23/1.45 exact ax2_1810. % 1.23/1.45 cut (((c_tptpcol_9_40196) = (c_tptpcol_9_40196))); [idtac | apply NNPP; zenon_intro zenon_H1d30]. % 1.23/1.45 cut (((c_tptpcol_10_40324) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d31]. % 1.23/1.45 congruence. % 1.23/1.45 apply (zenon_notand_s _ _ zenon_H1cf5); [ zenon_intro zenon_H1d33 | zenon_intro zenon_H1d32 ]. % 1.23/1.45 apply zenon_H1d33. zenon_intro zenon_H1d34. % 1.23/1.45 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H1d0c | zenon_intro zenon_H1d0d ]. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_10_40324) = (c_tptpcol_15_40430))). % 1.23/1.45 intro zenon_D_pnotp. % 1.23/1.45 apply zenon_H1d31. % 1.23/1.45 rewrite <- zenon_D_pnotp. % 1.23/1.45 exact zenon_H1d0c. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d0d]. % 1.23/1.45 cut (((c_tptpcol_15_40430) = (c_tptpcol_10_40324))); [idtac | apply NNPP; zenon_intro zenon_H1cf7]. % 1.23/1.45 congruence. % 1.23/1.45 exact (zenon_H1cf7 zenon_H1d34). % 1.23/1.45 apply zenon_H1d0d. apply refl_equal. % 1.23/1.45 apply zenon_H1d0d. apply refl_equal. % 1.23/1.45 apply zenon_H1d32. zenon_intro zenon_H1d2e. % 1.23/1.45 generalize (zenon_H1ce8 (c_tptpcol_15_40430)). zenon_intro zenon_H1d0e. % 1.23/1.45 generalize (zenon_H1d0e (c_tptpcol_10_40324)). zenon_intro zenon_H1d35. % 1.23/1.45 generalize (zenon_H1d35 (c_tptpcol_9_40196)). zenon_intro zenon_H1d36. % 1.23/1.45 apply (zenon_imply_s _ _ zenon_H1d36); [ zenon_intro zenon_H1cf6 | zenon_intro zenon_H1d37 ]. % 1.23/1.45 exact (zenon_H1cf6 zenon_H1d2e). % 1.23/1.45 apply (zenon_imply_s _ _ zenon_H1d37); [ zenon_intro zenon_H1d39 | zenon_intro zenon_H1d38 ]. % 1.23/1.45 exact (zenon_H1d39 ax2_1810). % 1.23/1.45 exact (zenon_H1cf2 zenon_H1d38). % 1.23/1.45 apply zenon_H1d30. apply refl_equal. % 1.23/1.45 cut ((genls (c_tptpcol_9_40196) (c_tptpcol_8_39940)) = (genls (c_tptpcol_15_40430) (c_tptpcol_8_39940))). % 1.23/1.45 intro zenon_D_pnotp. % 1.23/1.45 apply zenon_H1cee. % 1.23/1.45 rewrite <- zenon_D_pnotp. % 1.23/1.45 exact ax2_2072. % 1.23/1.45 cut (((c_tptpcol_8_39940) = (c_tptpcol_8_39940))); [idtac | apply NNPP; zenon_intro zenon_H1d3a]. % 1.23/1.45 cut (((c_tptpcol_9_40196) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d3b]. % 1.23/1.45 congruence. % 1.23/1.45 apply (zenon_notand_s _ _ zenon_H1cf1); [ zenon_intro zenon_H1d3d | zenon_intro zenon_H1d3c ]. % 1.23/1.45 apply zenon_H1d3d. zenon_intro zenon_H1d3e. % 1.23/1.45 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H1d0c | zenon_intro zenon_H1d0d ]. % 1.23/1.46 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_9_40196) = (c_tptpcol_15_40430))). % 1.23/1.46 intro zenon_D_pnotp. % 1.23/1.46 apply zenon_H1d3b. % 1.23/1.46 rewrite <- zenon_D_pnotp. % 1.23/1.46 exact zenon_H1d0c. % 1.23/1.46 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d0d]. % 1.23/1.46 cut (((c_tptpcol_15_40430) = (c_tptpcol_9_40196))); [idtac | apply NNPP; zenon_intro zenon_H1cf3]. % 1.23/1.46 congruence. % 1.23/1.46 exact (zenon_H1cf3 zenon_H1d3e). % 1.23/1.46 apply zenon_H1d0d. apply refl_equal. % 1.23/1.46 apply zenon_H1d0d. apply refl_equal. % 1.23/1.46 apply zenon_H1d3c. zenon_intro zenon_H1d38. % 1.23/1.46 generalize (zenon_H1ce8 (c_tptpcol_15_40430)). zenon_intro zenon_H1d0e. % 1.23/1.46 generalize (zenon_H1d0e (c_tptpcol_9_40196)). zenon_intro zenon_H1d3f. % 1.23/1.46 generalize (zenon_H1d3f (c_tptpcol_8_39940)). zenon_intro zenon_H1d40. % 1.23/1.46 apply (zenon_imply_s _ _ zenon_H1d40); [ zenon_intro zenon_H1cf2 | zenon_intro zenon_H1d41 ]. % 1.23/1.46 exact (zenon_H1cf2 zenon_H1d38). % 1.23/1.46 apply (zenon_imply_s _ _ zenon_H1d41); [ zenon_intro zenon_H1d43 | zenon_intro zenon_H1d42 ]. % 1.23/1.46 exact (zenon_H1d43 ax2_2072). % 1.23/1.46 exact (zenon_H1cee zenon_H1d42). % 1.23/1.46 apply zenon_H1d3a. apply refl_equal. % 1.23/1.46 cut ((genls (c_tptpcol_8_39940) (c_tptpcol_7_39939)) = (genls (c_tptpcol_15_40430) (c_tptpcol_7_39939))). % 1.23/1.46 intro zenon_D_pnotp. % 1.23/1.46 apply zenon_H1cea. % 1.23/1.46 rewrite <- zenon_D_pnotp. % 1.23/1.46 exact ax2_2056. % 1.23/1.46 cut (((c_tptpcol_7_39939) = (c_tptpcol_7_39939))); [idtac | apply NNPP; zenon_intro zenon_H1d44]. % 1.23/1.46 cut (((c_tptpcol_8_39940) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d45]. % 1.23/1.46 congruence. % 1.23/1.46 apply (zenon_notand_s _ _ zenon_H1ced); [ zenon_intro zenon_H1d47 | zenon_intro zenon_H1d46 ]. % 1.23/1.46 apply zenon_H1d47. zenon_intro zenon_H1d48. % 1.23/1.46 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H1d0c | zenon_intro zenon_H1d0d ]. % 1.23/1.46 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_8_39940) = (c_tptpcol_15_40430))). % 1.23/1.46 intro zenon_D_pnotp. % 1.23/1.46 apply zenon_H1d45. % 1.23/1.46 rewrite <- zenon_D_pnotp. % 1.23/1.46 exact zenon_H1d0c. % 1.23/1.46 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H1d0d]. % 1.23/1.46 cut (((c_tptpcol_15_40430) = (c_tptpcol_8_39940))); [idtac | apply NNPP; zenon_intro zenon_H1cef]. % 1.23/1.46 congruence. % 1.23/1.46 exact (zenon_H1cef zenon_H1d48). % 1.23/1.46 apply zenon_H1d0d. apply refl_equal. % 1.23/1.46 apply zenon_H1d0d. apply refl_equal. % 1.23/1.46 apply zenon_H1d46. zenon_intro zenon_H1d42. % 1.23/1.46 generalize (zenon_H1ce8 (c_tptpcol_15_40430)). zenon_intro zenon_H1d0e. % 1.23/1.46 generalize (zenon_H1d0e (c_tptpcol_8_39940)). zenon_intro zenon_H1d49. % 1.23/1.46 generalize (zenon_H1d49 (c_tptpcol_7_39939)). zenon_intro zenon_H1d4a. % 1.23/1.46 apply (zenon_imply_s _ _ zenon_H1d4a); [ zenon_intro zenon_H1cee | zenon_intro zenon_H1d4b ]. % 1.23/1.46 exact (zenon_H1cee zenon_H1d42). % 1.23/1.46 apply (zenon_imply_s _ _ zenon_H1d4b); [ zenon_intro zenon_H1d4d | zenon_intro zenon_H1d4c ]. % 1.23/1.46 exact (zenon_H1d4d ax2_2056). % 1.23/1.46 exact (zenon_H1cea zenon_H1d4c). % 1.23/1.46 apply zenon_H1d44. apply refl_equal. % 1.23/1.46 apply zenon_H1ce9. zenon_intro zenon_Tx_lco. apply NNPP. zenon_intro zenon_H1d4f. % 1.23/1.46 apply zenon_H1d4f. zenon_intro zenon_Ty_lcq. apply NNPP. zenon_intro zenon_H1d51. % 1.23/1.46 apply zenon_H1d51. zenon_intro zenon_Tz_lcs. apply NNPP. zenon_intro zenon_H1d53. % 1.23/1.46 apply (zenon_notimply_s _ _ zenon_H1d53). zenon_intro zenon_H1d55. zenon_intro zenon_H1d54. % 1.23/1.46 apply (zenon_notimply_s _ _ zenon_H1d54). zenon_intro zenon_H1d57. zenon_intro zenon_H1d56. % 1.23/1.46 generalize (ax2_7991 zenon_Tx_lco). zenon_intro zenon_H1d58. % 1.23/1.46 generalize (zenon_H1d58 zenon_Ty_lcq). zenon_intro zenon_H1d59. % 1.23/1.46 generalize (zenon_H1d59 zenon_Tz_lcs). zenon_intro zenon_H1d5a. % 1.23/1.46 apply (zenon_imply_s _ _ zenon_H1d5a); [ zenon_intro zenon_H1d5c | zenon_intro zenon_H1d5b ]. % 1.23/1.46 apply (zenon_notand_s _ _ zenon_H1d5c); [ zenon_intro zenon_H1d5e | zenon_intro zenon_H1d5d ]. % 1.23/1.46 exact (zenon_H1d5e zenon_H1d55). % 1.23/1.46 exact (zenon_H1d5d zenon_H1d57). % 1.23/1.46 exact (zenon_H1d56 zenon_H1d5b). % 1.23/1.46 Qed. % 1.23/1.46 % SZS output end Proof % 1.23/1.46 (* END-PROOF *) % 1.23/1.46 nodes searched: 20901 % 1.23/1.46 max branch formulas: 23663 % 1.23/1.46 proof nodes created: 122 % 1.23/1.46 formulas created: 218057 % 1.23/1.46 %------------------------------------------------------------------------------