%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : CSR052+2 : 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 00:02:13 EDT 2022 % Result : Theorem 0.48s 0.64s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : CSR052+2 : TPTP v8.1.0. Released v3.4.0. % 0.04/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n026.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 : Fri Jun 10 14:41:03 EDT 2022 % 0.13/0.34 % CPUTime : % 0.48/0.64 (* PROOF-FOUND *) % 0.48/0.64 % SZS status Theorem % 0.48/0.64 (* BEGIN-PROOF *) % 0.48/0.64 % SZS output start Proof % 0.48/0.64 Theorem query102 : ((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))). % 0.48/0.64 Proof. % 0.48/0.64 apply NNPP. intro zenon_G. % 0.48/0.64 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_H450 | zenon_intro zenon_H451 ]. % 0.48/0.64 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H453. zenon_intro zenon_H452. % 0.48/0.64 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_8_39940)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_8_39940))))); [ zenon_intro zenon_H454 | zenon_intro zenon_H455 ]. % 0.48/0.64 apply (zenon_and_s _ _ zenon_H454). zenon_intro zenon_H457. zenon_intro zenon_H456. % 0.48/0.64 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_9_40196)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_9_40196))))); [ zenon_intro zenon_H458 | zenon_intro zenon_H459 ]. % 0.48/0.64 apply (zenon_and_s _ _ zenon_H458). zenon_intro zenon_H45b. zenon_intro zenon_H45a. % 0.48/0.64 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_10_40324)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_10_40324))))); [ zenon_intro zenon_H45c | zenon_intro zenon_H45d ]. % 0.48/0.64 apply (zenon_and_s _ _ zenon_H45c). zenon_intro zenon_H45f. zenon_intro zenon_H45e. % 0.48/0.64 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_11_40388)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_11_40388))))); [ zenon_intro zenon_H460 | zenon_intro zenon_H461 ]. % 0.48/0.64 apply (zenon_and_s _ _ zenon_H460). zenon_intro zenon_H463. zenon_intro zenon_H462. % 0.48/0.64 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_12_40420)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_12_40420))))); [ zenon_intro zenon_H464 | zenon_intro zenon_H465 ]. % 0.48/0.64 apply (zenon_and_s _ _ zenon_H464). zenon_intro zenon_H467. zenon_intro zenon_H466. % 0.48/0.64 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_13_40421)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_13_40421))))); [ zenon_intro zenon_H468 | zenon_intro zenon_H469 ]. % 0.48/0.64 apply (zenon_and_s _ _ zenon_H468). zenon_intro zenon_H46b. zenon_intro zenon_H46a. % 0.48/0.64 elim (classic ((~((c_tptpcol_15_40430) = (c_tptpcol_14_40429)))/\(~(genls (c_tptpcol_15_40430) (c_tptpcol_14_40429))))); [ zenon_intro zenon_H46c | zenon_intro zenon_H46d ]. % 0.48/0.64 apply (zenon_and_s _ _ zenon_H46c). zenon_intro zenon_H46f. zenon_intro zenon_H46e. % 0.48/0.64 exact (zenon_H46e ax1_4). % 0.48/0.64 cut ((genls (c_tptpcol_14_40429) (c_tptpcol_13_40421)) = (genls (c_tptpcol_15_40430) (c_tptpcol_13_40421))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H46a. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact ax1_186. % 0.48/0.64 cut (((c_tptpcol_13_40421) = (c_tptpcol_13_40421))); [idtac | apply NNPP; zenon_intro zenon_H470]. % 0.48/0.64 cut (((c_tptpcol_14_40429) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H471]. % 0.48/0.64 congruence. % 0.48/0.64 apply (zenon_notand_s _ _ zenon_H46d); [ zenon_intro zenon_H473 | zenon_intro zenon_H472 ]. % 0.48/0.64 apply zenon_H473. zenon_intro zenon_H474. % 0.48/0.64 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H475 | zenon_intro zenon_H476 ]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_14_40429) = (c_tptpcol_15_40430))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H471. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact zenon_H475. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H476]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_14_40429))); [idtac | apply NNPP; zenon_intro zenon_H46f]. % 0.48/0.64 congruence. % 0.48/0.64 exact (zenon_H46f zenon_H474). % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H472. zenon_intro ax1_4. % 0.48/0.64 generalize (zenon_H450 (c_tptpcol_15_40430)). zenon_intro zenon_H477. % 0.48/0.64 generalize (zenon_H477 (c_tptpcol_14_40429)). zenon_intro zenon_H478. % 0.48/0.64 generalize (zenon_H478 (c_tptpcol_13_40421)). zenon_intro zenon_H479. % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H479); [ zenon_intro zenon_H46e | zenon_intro zenon_H47a ]. % 0.48/0.64 exact (zenon_H46e ax1_4). % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H47a); [ zenon_intro zenon_H47c | zenon_intro zenon_H47b ]. % 0.48/0.64 exact (zenon_H47c ax1_186). % 0.48/0.64 exact (zenon_H46a zenon_H47b). % 0.48/0.64 apply zenon_H470. apply refl_equal. % 0.48/0.64 cut ((genls (c_tptpcol_13_40421) (c_tptpcol_12_40420)) = (genls (c_tptpcol_15_40430) (c_tptpcol_12_40420))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H466. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact ax1_16. % 0.48/0.64 cut (((c_tptpcol_12_40420) = (c_tptpcol_12_40420))); [idtac | apply NNPP; zenon_intro zenon_H47d]. % 0.48/0.64 cut (((c_tptpcol_13_40421) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H47e]. % 0.48/0.64 congruence. % 0.48/0.64 apply (zenon_notand_s _ _ zenon_H469); [ zenon_intro zenon_H480 | zenon_intro zenon_H47f ]. % 0.48/0.64 apply zenon_H480. zenon_intro zenon_H481. % 0.48/0.64 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H475 | zenon_intro zenon_H476 ]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_13_40421) = (c_tptpcol_15_40430))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H47e. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact zenon_H475. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H476]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_13_40421))); [idtac | apply NNPP; zenon_intro zenon_H46b]. % 0.48/0.64 congruence. % 0.48/0.64 exact (zenon_H46b zenon_H481). % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H47f. zenon_intro zenon_H47b. % 0.48/0.64 generalize (zenon_H450 (c_tptpcol_15_40430)). zenon_intro zenon_H477. % 0.48/0.64 generalize (zenon_H477 (c_tptpcol_13_40421)). zenon_intro zenon_H482. % 0.48/0.64 generalize (zenon_H482 (c_tptpcol_12_40420)). zenon_intro zenon_H483. % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H483); [ zenon_intro zenon_H46a | zenon_intro zenon_H484 ]. % 0.48/0.64 exact (zenon_H46a zenon_H47b). % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H484); [ zenon_intro zenon_H486 | zenon_intro zenon_H485 ]. % 0.48/0.64 exact (zenon_H486 ax1_16). % 0.48/0.64 exact (zenon_H466 zenon_H485). % 0.48/0.64 apply zenon_H47d. apply refl_equal. % 0.48/0.64 cut ((genls (c_tptpcol_12_40420) (c_tptpcol_11_40388)) = (genls (c_tptpcol_15_40430) (c_tptpcol_11_40388))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H462. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact ax1_54. % 0.48/0.64 cut (((c_tptpcol_11_40388) = (c_tptpcol_11_40388))); [idtac | apply NNPP; zenon_intro zenon_H487]. % 0.48/0.64 cut (((c_tptpcol_12_40420) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H488]. % 0.48/0.64 congruence. % 0.48/0.64 apply (zenon_notand_s _ _ zenon_H465); [ zenon_intro zenon_H48a | zenon_intro zenon_H489 ]. % 0.48/0.64 apply zenon_H48a. zenon_intro zenon_H48b. % 0.48/0.64 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H475 | zenon_intro zenon_H476 ]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_12_40420) = (c_tptpcol_15_40430))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H488. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact zenon_H475. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H476]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_12_40420))); [idtac | apply NNPP; zenon_intro zenon_H467]. % 0.48/0.64 congruence. % 0.48/0.64 exact (zenon_H467 zenon_H48b). % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H489. zenon_intro zenon_H485. % 0.48/0.64 generalize (zenon_H450 (c_tptpcol_15_40430)). zenon_intro zenon_H477. % 0.48/0.64 generalize (zenon_H477 (c_tptpcol_12_40420)). zenon_intro zenon_H48c. % 0.48/0.64 generalize (zenon_H48c (c_tptpcol_11_40388)). zenon_intro zenon_H48d. % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H48d); [ zenon_intro zenon_H466 | zenon_intro zenon_H48e ]. % 0.48/0.64 exact (zenon_H466 zenon_H485). % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H48e); [ zenon_intro zenon_H490 | zenon_intro zenon_H48f ]. % 0.48/0.64 exact (zenon_H490 ax1_54). % 0.48/0.64 exact (zenon_H462 zenon_H48f). % 0.48/0.64 apply zenon_H487. apply refl_equal. % 0.48/0.64 cut ((genls (c_tptpcol_11_40388) (c_tptpcol_10_40324)) = (genls (c_tptpcol_15_40430) (c_tptpcol_10_40324))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H45e. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact ax1_424. % 0.48/0.64 cut (((c_tptpcol_10_40324) = (c_tptpcol_10_40324))); [idtac | apply NNPP; zenon_intro zenon_H491]. % 0.48/0.64 cut (((c_tptpcol_11_40388) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H492]. % 0.48/0.64 congruence. % 0.48/0.64 apply (zenon_notand_s _ _ zenon_H461); [ zenon_intro zenon_H494 | zenon_intro zenon_H493 ]. % 0.48/0.64 apply zenon_H494. zenon_intro zenon_H495. % 0.48/0.64 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H475 | zenon_intro zenon_H476 ]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_11_40388) = (c_tptpcol_15_40430))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H492. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact zenon_H475. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H476]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_11_40388))); [idtac | apply NNPP; zenon_intro zenon_H463]. % 0.48/0.64 congruence. % 0.48/0.64 exact (zenon_H463 zenon_H495). % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H493. zenon_intro zenon_H48f. % 0.48/0.64 generalize (zenon_H450 (c_tptpcol_15_40430)). zenon_intro zenon_H477. % 0.48/0.64 generalize (zenon_H477 (c_tptpcol_11_40388)). zenon_intro zenon_H496. % 0.48/0.64 generalize (zenon_H496 (c_tptpcol_10_40324)). zenon_intro zenon_H497. % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H497); [ zenon_intro zenon_H462 | zenon_intro zenon_H498 ]. % 0.48/0.64 exact (zenon_H462 zenon_H48f). % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H498); [ zenon_intro zenon_H49a | zenon_intro zenon_H499 ]. % 0.48/0.64 exact (zenon_H49a ax1_424). % 0.48/0.64 exact (zenon_H45e zenon_H499). % 0.48/0.64 apply zenon_H491. apply refl_equal. % 0.48/0.64 cut ((genls (c_tptpcol_10_40324) (c_tptpcol_9_40196)) = (genls (c_tptpcol_15_40430) (c_tptpcol_9_40196))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H45a. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact ax1_76. % 0.48/0.64 cut (((c_tptpcol_9_40196) = (c_tptpcol_9_40196))); [idtac | apply NNPP; zenon_intro zenon_H49b]. % 0.48/0.64 cut (((c_tptpcol_10_40324) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H49c]. % 0.48/0.64 congruence. % 0.48/0.64 apply (zenon_notand_s _ _ zenon_H45d); [ zenon_intro zenon_H49e | zenon_intro zenon_H49d ]. % 0.48/0.64 apply zenon_H49e. zenon_intro zenon_H49f. % 0.48/0.64 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H475 | zenon_intro zenon_H476 ]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_10_40324) = (c_tptpcol_15_40430))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H49c. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact zenon_H475. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H476]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_10_40324))); [idtac | apply NNPP; zenon_intro zenon_H45f]. % 0.48/0.64 congruence. % 0.48/0.64 exact (zenon_H45f zenon_H49f). % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H49d. zenon_intro zenon_H499. % 0.48/0.64 generalize (zenon_H450 (c_tptpcol_15_40430)). zenon_intro zenon_H477. % 0.48/0.64 generalize (zenon_H477 (c_tptpcol_10_40324)). zenon_intro zenon_H4a0. % 0.48/0.64 generalize (zenon_H4a0 (c_tptpcol_9_40196)). zenon_intro zenon_H4a1. % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H4a1); [ zenon_intro zenon_H45e | zenon_intro zenon_H4a2 ]. % 0.48/0.64 exact (zenon_H45e zenon_H499). % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H4a2); [ zenon_intro zenon_H4a4 | zenon_intro zenon_H4a3 ]. % 0.48/0.64 exact (zenon_H4a4 ax1_76). % 0.48/0.64 exact (zenon_H45a zenon_H4a3). % 0.48/0.64 apply zenon_H49b. apply refl_equal. % 0.48/0.64 cut ((genls (c_tptpcol_9_40196) (c_tptpcol_8_39940)) = (genls (c_tptpcol_15_40430) (c_tptpcol_8_39940))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H456. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact ax1_470. % 0.48/0.64 cut (((c_tptpcol_8_39940) = (c_tptpcol_8_39940))); [idtac | apply NNPP; zenon_intro zenon_H4a5]. % 0.48/0.64 cut (((c_tptpcol_9_40196) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H4a6]. % 0.48/0.64 congruence. % 0.48/0.64 apply (zenon_notand_s _ _ zenon_H459); [ zenon_intro zenon_H4a8 | zenon_intro zenon_H4a7 ]. % 0.48/0.64 apply zenon_H4a8. zenon_intro zenon_H4a9. % 0.48/0.64 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H475 | zenon_intro zenon_H476 ]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_9_40196) = (c_tptpcol_15_40430))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H4a6. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact zenon_H475. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H476]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_9_40196))); [idtac | apply NNPP; zenon_intro zenon_H45b]. % 0.48/0.64 congruence. % 0.48/0.64 exact (zenon_H45b zenon_H4a9). % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H4a7. zenon_intro zenon_H4a3. % 0.48/0.64 generalize (zenon_H450 (c_tptpcol_15_40430)). zenon_intro zenon_H477. % 0.48/0.64 generalize (zenon_H477 (c_tptpcol_9_40196)). zenon_intro zenon_H4aa. % 0.48/0.64 generalize (zenon_H4aa (c_tptpcol_8_39940)). zenon_intro zenon_H4ab. % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H4ab); [ zenon_intro zenon_H45a | zenon_intro zenon_H4ac ]. % 0.48/0.64 exact (zenon_H45a zenon_H4a3). % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H4ac); [ zenon_intro zenon_H4ae | zenon_intro zenon_H4ad ]. % 0.48/0.64 exact (zenon_H4ae ax1_470). % 0.48/0.64 exact (zenon_H456 zenon_H4ad). % 0.48/0.64 apply zenon_H4a5. apply refl_equal. % 0.48/0.64 cut ((genls (c_tptpcol_8_39940) (c_tptpcol_7_39939)) = (genls (c_tptpcol_15_40430) (c_tptpcol_7_39939))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H452. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact ax1_438. % 0.48/0.64 cut (((c_tptpcol_7_39939) = (c_tptpcol_7_39939))); [idtac | apply NNPP; zenon_intro zenon_H4af]. % 0.48/0.64 cut (((c_tptpcol_8_39940) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H4b0]. % 0.48/0.64 congruence. % 0.48/0.64 apply (zenon_notand_s _ _ zenon_H455); [ zenon_intro zenon_H4b2 | zenon_intro zenon_H4b1 ]. % 0.48/0.64 apply zenon_H4b2. zenon_intro zenon_H4b3. % 0.48/0.64 elim (classic ((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [ zenon_intro zenon_H475 | zenon_intro zenon_H476 ]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430)) = ((c_tptpcol_8_39940) = (c_tptpcol_15_40430))). % 0.48/0.64 intro zenon_D_pnotp. % 0.48/0.64 apply zenon_H4b0. % 0.48/0.64 rewrite <- zenon_D_pnotp. % 0.48/0.64 exact zenon_H475. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_15_40430))); [idtac | apply NNPP; zenon_intro zenon_H476]. % 0.48/0.64 cut (((c_tptpcol_15_40430) = (c_tptpcol_8_39940))); [idtac | apply NNPP; zenon_intro zenon_H457]. % 0.48/0.64 congruence. % 0.48/0.64 exact (zenon_H457 zenon_H4b3). % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H476. apply refl_equal. % 0.48/0.64 apply zenon_H4b1. zenon_intro zenon_H4ad. % 0.48/0.64 generalize (zenon_H450 (c_tptpcol_15_40430)). zenon_intro zenon_H477. % 0.48/0.64 generalize (zenon_H477 (c_tptpcol_8_39940)). zenon_intro zenon_H4b4. % 0.48/0.64 generalize (zenon_H4b4 (c_tptpcol_7_39939)). zenon_intro zenon_H4b5. % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H4b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H4b6 ]. % 0.48/0.64 exact (zenon_H456 zenon_H4ad). % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H4b6); [ zenon_intro zenon_H4b8 | zenon_intro zenon_H4b7 ]. % 0.48/0.64 exact (zenon_H4b8 ax1_438). % 0.48/0.64 exact (zenon_H452 zenon_H4b7). % 0.48/0.64 apply zenon_H4af. apply refl_equal. % 0.48/0.64 apply zenon_H451. zenon_intro zenon_Tx_bun. apply NNPP. zenon_intro zenon_H4ba. % 0.48/0.64 apply zenon_H4ba. zenon_intro zenon_Ty_bup. apply NNPP. zenon_intro zenon_H4bc. % 0.48/0.64 apply zenon_H4bc. zenon_intro zenon_Tz_bur. apply NNPP. zenon_intro zenon_H4be. % 0.48/0.64 apply (zenon_notimply_s _ _ zenon_H4be). zenon_intro zenon_H4c0. zenon_intro zenon_H4bf. % 0.48/0.64 apply (zenon_notimply_s _ _ zenon_H4bf). zenon_intro zenon_H4c2. zenon_intro zenon_H4c1. % 0.48/0.64 generalize (ax1_1109 zenon_Tx_bun). zenon_intro zenon_H4c3. % 0.48/0.64 generalize (zenon_H4c3 zenon_Ty_bup). zenon_intro zenon_H4c4. % 0.48/0.64 generalize (zenon_H4c4 zenon_Tz_bur). zenon_intro zenon_H4c5. % 0.48/0.64 apply (zenon_imply_s _ _ zenon_H4c5); [ zenon_intro zenon_H4c7 | zenon_intro zenon_H4c6 ]. % 0.48/0.64 apply (zenon_notand_s _ _ zenon_H4c7); [ zenon_intro zenon_H4c9 | zenon_intro zenon_H4c8 ]. % 0.48/0.64 exact (zenon_H4c9 zenon_H4c0). % 0.48/0.64 exact (zenon_H4c8 zenon_H4c2). % 0.48/0.64 exact (zenon_H4c1 zenon_H4c6). % 0.48/0.64 Qed. % 0.48/0.64 % SZS output end Proof % 0.48/0.64 (* END-PROOF *) % 0.48/0.64 nodes searched: 2990 % 0.48/0.64 max branch formulas: 4035 % 0.48/0.64 proof nodes created: 20 % 0.48/0.64 formulas created: 34016 % 0.48/0.64 %------------------------------------------------------------------------------