TSTP Solution File: CSR033+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : CSR033+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 00:01:53 EDT 2022
% Result : Theorem 8.01s 8.19s
% Output : Proof 8.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR033+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n025.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 07:41:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 8.01/8.19 (* PROOF-FOUND *)
% 8.01/8.19 % SZS status Theorem
% 8.01/8.19 (* BEGIN-PROOF *)
% 8.01/8.19 % SZS output start Proof
% 8.01/8.19 Theorem query83 : ((mtvisible (c_tptpgeo_spindlecollectormt))->((inregion (c_geolocation_x76_y23) (c_georegion_l1_x2_y0))/\(geolevel_1 (c_georegion_l1_x2_y0)))).
% 8.01/8.19 Proof.
% 8.01/8.19 assert (zenon_L1_ : (~(mtvisible (c_tptpgeo_member2_mt))) -> (mtvisible (c_tptpgeo_spindlecollectormt)) -> False).
% 8.01/8.19 do 0 intro. intros zenon_H450 zenon_H451.
% 8.01/8.19 generalize (ax1_1123 (c_tptpgeo_spindlecollectormt)). zenon_intro zenon_H452.
% 8.01/8.19 generalize (zenon_H452 (c_tptpgeo_member2_mt)). zenon_intro zenon_H453.
% 8.01/8.19 apply (zenon_imply_s _ _ zenon_H453); [ zenon_intro zenon_H455 | zenon_intro zenon_H454 ].
% 8.01/8.19 apply (zenon_notand_s _ _ zenon_H455); [ zenon_intro zenon_H457 | zenon_intro zenon_H456 ].
% 8.01/8.19 exact (zenon_H457 zenon_H451).
% 8.01/8.19 exact (zenon_H456 ax1_273).
% 8.01/8.19 exact (zenon_H450 zenon_H454).
% 8.01/8.19 (* end of lemma zenon_L1_ *)
% 8.01/8.19 assert (zenon_L2_ : (~((c_georegion_l3_x25_y7) = (c_georegion_l3_x25_y7))) -> False).
% 8.01/8.19 do 0 intro. intros zenon_H458.
% 8.01/8.19 apply zenon_H458. apply refl_equal.
% 8.01/8.19 (* end of lemma zenon_L2_ *)
% 8.01/8.19 assert (zenon_L3_ : (~((c_georegion_l4_x76_y23) = (c_georegion_l4_x76_y23))) -> False).
% 8.01/8.19 do 0 intro. intros zenon_H459.
% 8.01/8.19 apply zenon_H459. apply refl_equal.
% 8.01/8.19 (* end of lemma zenon_L3_ *)
% 8.01/8.19 assert (zenon_L4_ : (~((c_tptpgeo_spindleheadmt) = (c_tptpgeo_spindleheadmt))) -> False).
% 8.01/8.19 do 0 intro. intros zenon_H45a.
% 8.01/8.19 apply zenon_H45a. apply refl_equal.
% 8.01/8.19 (* end of lemma zenon_L4_ *)
% 8.01/8.19 apply NNPP. intro zenon_G.
% 8.01/8.19 elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((geographicalsubregions x y)->((geographicalsubregions y z)->(geographicalsubregions x z))))))); [ zenon_intro zenon_H45b | zenon_intro zenon_H45c ].
% 8.01/8.19 elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((inregion x y)->((inregion y z)->(inregion x z))))))); [ zenon_intro zenon_H45d | zenon_intro zenon_H45e ].
% 8.01/8.19 elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genlmt x y)->((genlmt y z)->(genlmt x z))))))); [ zenon_intro zenon_H45f | zenon_intro zenon_H460 ].
% 8.01/8.19 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H451. zenon_intro zenon_H461.
% 8.01/8.19 apply (zenon_notand_s _ _ zenon_H461); [ zenon_intro zenon_H463 | zenon_intro zenon_H462 ].
% 8.01/8.19 apply (zenon_imply_s _ _ ax1_18); [ zenon_intro zenon_H450 | zenon_intro zenon_H464 ].
% 8.01/8.19 apply (zenon_L1_); trivial.
% 8.01/8.19 apply (zenon_imply_s _ _ ax1_291); [ zenon_intro zenon_H450 | zenon_intro zenon_H465 ].
% 8.01/8.19 apply (zenon_L1_); trivial.
% 8.01/8.19 apply (zenon_imply_s _ _ ax1_300); [ zenon_intro zenon_H450 | zenon_intro zenon_H466 ].
% 8.01/8.19 apply (zenon_L1_); trivial.
% 8.01/8.19 apply (zenon_imply_s _ _ ax1_355); [ zenon_intro zenon_H450 | zenon_intro zenon_H467 ].
% 8.01/8.19 apply (zenon_L1_); trivial.
% 8.01/8.19 elim (classic (inregion (c_georegion_l4_x76_y23) (c_georegion_l1_x2_y0))); [ zenon_intro zenon_H468 | zenon_intro zenon_H469 ].
% 8.01/8.19 generalize (zenon_H45d (c_geolocation_x76_y23)). zenon_intro zenon_H46a.
% 8.01/8.19 generalize (zenon_H46a (c_georegion_l4_x76_y23)). zenon_intro zenon_H46b.
% 8.01/8.19 generalize (zenon_H46b (c_georegion_l1_x2_y0)). zenon_intro zenon_H46c.
% 8.01/8.19 apply (zenon_imply_s _ _ zenon_H46c); [ zenon_intro zenon_H46e | zenon_intro zenon_H46d ].
% 8.01/8.19 exact (zenon_H46e zenon_H467).
% 8.01/8.19 apply (zenon_imply_s _ _ zenon_H46d); [ zenon_intro zenon_H469 | zenon_intro zenon_H46f ].
% 8.01/8.19 exact (zenon_H469 zenon_H468).
% 8.01/8.19 exact (zenon_H463 zenon_H46f).
% 8.01/8.19 generalize (ax1_128 (c_georegion_l1_x2_y0)). zenon_intro zenon_H470.
% 8.01/8.19 generalize (zenon_H470 (c_georegion_l4_x76_y23)). zenon_intro zenon_H471.
% 8.01/8.19 apply (zenon_imply_s _ _ zenon_H471); [ zenon_intro zenon_H472 | zenon_intro zenon_H468 ].
% 8.01/8.19 elim (classic ((~((c_georegion_l1_x2_y0) = (c_georegion_l3_x25_y7)))/\(~(geographicalsubregions (c_georegion_l1_x2_y0) (c_georegion_l3_x25_y7))))); [ zenon_intro zenon_H473 | zenon_intro zenon_H474 ].
% 8.01/8.19 apply (zenon_and_s _ _ zenon_H473). zenon_intro zenon_H476. zenon_intro zenon_H475.
% 8.01/8.19 elim (classic ((~((c_georegion_l1_x2_y0) = (c_georegion_l2_x8_y2)))/\(~(geographicalsubregions (c_georegion_l1_x2_y0) (c_georegion_l2_x8_y2))))); [ zenon_intro zenon_H477 | zenon_intro zenon_H478 ].
% 8.01/8.19 apply (zenon_and_s _ _ zenon_H477). zenon_intro zenon_H47a. zenon_intro zenon_H479.
% 8.01/8.19 exact (zenon_H479 zenon_H464).
% 8.01/8.19 cut ((geographicalsubregions (c_georegion_l2_x8_y2) (c_georegion_l3_x25_y7)) = (geographicalsubregions (c_georegion_l1_x2_y0) (c_georegion_l3_x25_y7))).
% 8.01/8.19 intro zenon_D_pnotp.
% 8.01/8.19 apply zenon_H475.
% 8.01/8.19 rewrite <- zenon_D_pnotp.
% 8.01/8.19 exact zenon_H465.
% 8.01/8.19 cut (((c_georegion_l3_x25_y7) = (c_georegion_l3_x25_y7))); [idtac | apply NNPP; zenon_intro zenon_H458].
% 8.01/8.19 cut (((c_georegion_l2_x8_y2) = (c_georegion_l1_x2_y0))); [idtac | apply NNPP; zenon_intro zenon_H47b].
% 8.01/8.19 congruence.
% 8.01/8.19 apply (zenon_notand_s _ _ zenon_H478); [ zenon_intro zenon_H47d | zenon_intro zenon_H47c ].
% 8.01/8.19 apply zenon_H47d. zenon_intro zenon_H47e.
% 8.01/8.19 elim (classic ((c_georegion_l1_x2_y0) = (c_georegion_l1_x2_y0))); [ zenon_intro zenon_H47f | zenon_intro zenon_H480 ].
% 8.01/8.19 cut (((c_georegion_l1_x2_y0) = (c_georegion_l1_x2_y0)) = ((c_georegion_l2_x8_y2) = (c_georegion_l1_x2_y0))).
% 8.01/8.19 intro zenon_D_pnotp.
% 8.01/8.19 apply zenon_H47b.
% 8.01/8.19 rewrite <- zenon_D_pnotp.
% 8.01/8.19 exact zenon_H47f.
% 8.01/8.19 cut (((c_georegion_l1_x2_y0) = (c_georegion_l1_x2_y0))); [idtac | apply NNPP; zenon_intro zenon_H480].
% 8.01/8.19 cut (((c_georegion_l1_x2_y0) = (c_georegion_l2_x8_y2))); [idtac | apply NNPP; zenon_intro zenon_H47a].
% 8.01/8.19 congruence.
% 8.01/8.19 exact (zenon_H47a zenon_H47e).
% 8.01/8.19 apply zenon_H480. apply refl_equal.
% 8.01/8.19 apply zenon_H480. apply refl_equal.
% 8.01/8.19 apply zenon_H47c. zenon_intro zenon_H464.
% 8.01/8.19 generalize (zenon_H45b (c_georegion_l1_x2_y0)). zenon_intro zenon_H481.
% 8.01/8.19 generalize (zenon_H481 (c_georegion_l2_x8_y2)). zenon_intro zenon_H482.
% 8.01/8.19 generalize (zenon_H482 (c_georegion_l3_x25_y7)). zenon_intro zenon_H483.
% 8.01/8.19 apply (zenon_imply_s _ _ zenon_H483); [ zenon_intro zenon_H479 | zenon_intro zenon_H484 ].
% 8.01/8.19 exact (zenon_H479 zenon_H464).
% 8.01/8.19 apply (zenon_imply_s _ _ zenon_H484); [ zenon_intro zenon_H486 | zenon_intro zenon_H485 ].
% 8.01/8.19 exact (zenon_H486 zenon_H465).
% 8.01/8.19 exact (zenon_H475 zenon_H485).
% 8.01/8.19 apply zenon_H458. apply refl_equal.
% 8.01/8.19 cut ((geographicalsubregions (c_georegion_l3_x25_y7) (c_georegion_l4_x76_y23)) = (geographicalsubregions (c_georegion_l1_x2_y0) (c_georegion_l4_x76_y23))).
% 8.01/8.19 intro zenon_D_pnotp.
% 8.01/8.19 apply zenon_H472.
% 8.01/8.19 rewrite <- zenon_D_pnotp.
% 8.01/8.19 exact zenon_H466.
% 8.01/8.19 cut (((c_georegion_l4_x76_y23) = (c_georegion_l4_x76_y23))); [idtac | apply NNPP; zenon_intro zenon_H459].
% 8.01/8.19 cut (((c_georegion_l3_x25_y7) = (c_georegion_l1_x2_y0))); [idtac | apply NNPP; zenon_intro zenon_H487].
% 8.01/8.19 congruence.
% 8.01/8.19 apply (zenon_notand_s _ _ zenon_H474); [ zenon_intro zenon_H489 | zenon_intro zenon_H488 ].
% 8.01/8.19 apply zenon_H489. zenon_intro zenon_H48a.
% 8.01/8.19 elim (classic ((c_georegion_l1_x2_y0) = (c_georegion_l1_x2_y0))); [ zenon_intro zenon_H47f | zenon_intro zenon_H480 ].
% 8.01/8.19 cut (((c_georegion_l1_x2_y0) = (c_georegion_l1_x2_y0)) = ((c_georegion_l3_x25_y7) = (c_georegion_l1_x2_y0))).
% 8.01/8.19 intro zenon_D_pnotp.
% 8.01/8.19 apply zenon_H487.
% 8.01/8.19 rewrite <- zenon_D_pnotp.
% 8.01/8.19 exact zenon_H47f.
% 8.01/8.19 cut (((c_georegion_l1_x2_y0) = (c_georegion_l1_x2_y0))); [idtac | apply NNPP; zenon_intro zenon_H480].
% 8.01/8.19 cut (((c_georegion_l1_x2_y0) = (c_georegion_l3_x25_y7))); [idtac | apply NNPP; zenon_intro zenon_H476].
% 8.01/8.19 congruence.
% 8.01/8.19 exact (zenon_H476 zenon_H48a).
% 8.01/8.19 apply zenon_H480. apply refl_equal.
% 8.01/8.19 apply zenon_H480. apply refl_equal.
% 8.01/8.19 apply zenon_H488. zenon_intro zenon_H485.
% 8.01/8.19 generalize (zenon_H45b (c_georegion_l1_x2_y0)). zenon_intro zenon_H481.
% 8.01/8.19 generalize (zenon_H481 (c_georegion_l3_x25_y7)). zenon_intro zenon_H48b.
% 8.01/8.19 generalize (zenon_H48b (c_georegion_l4_x76_y23)). zenon_intro zenon_H48c.
% 8.01/8.19 apply (zenon_imply_s _ _ zenon_H48c); [ zenon_intro zenon_H475 | zenon_intro zenon_H48d ].
% 8.01/8.19 exact (zenon_H475 zenon_H485).
% 8.01/8.19 apply (zenon_imply_s _ _ zenon_H48d); [ zenon_intro zenon_H48f | zenon_intro zenon_H48e ].
% 8.01/8.19 exact (zenon_H48f zenon_H466).
% 8.01/8.19 exact (zenon_H472 zenon_H48e).
% 8.01/8.19 apply zenon_H459. apply refl_equal.
% 8.01/8.19 exact (zenon_H469 zenon_H468).
% 8.01/8.19 apply (zenon_imply_s _ _ ax1_292); [ zenon_intro zenon_H491 | zenon_intro zenon_H490 ].
% 8.01/8.19 generalize (ax1_1123 (c_tptpgeo_spindlecollectormt)). zenon_intro zenon_H452.
% 8.01/8.19 generalize (zenon_H452 (c_worldgeographymt)). zenon_intro zenon_H492.
% 8.01/8.19 apply (zenon_imply_s _ _ zenon_H492); [ zenon_intro zenon_H494 | zenon_intro zenon_H493 ].
% 8.01/8.19 apply (zenon_notand_s _ _ zenon_H494); [ zenon_intro zenon_H457 | zenon_intro zenon_H495 ].
% 8.01/8.19 exact (zenon_H457 zenon_H451).
% 8.01/8.19 elim (classic ((~((c_tptpgeo_spindlecollectormt) = (c_tptpgeo_spindleheadmt)))/\(~(genlmt (c_tptpgeo_spindlecollectormt) (c_tptpgeo_spindleheadmt))))); [ zenon_intro zenon_H496 | zenon_intro zenon_H497 ].
% 8.01/8.19 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H499. zenon_intro zenon_H498.
% 8.01/8.19 elim (classic ((~((c_tptpgeo_spindlecollectormt) = (c_tptpgeo_member8_mt)))/\(~(genlmt (c_tptpgeo_spindlecollectormt) (c_tptpgeo_member8_mt))))); [ zenon_intro zenon_H49a | zenon_intro zenon_H49b ].
% 8.01/8.19 apply (zenon_and_s _ _ zenon_H49a). zenon_intro zenon_H49d. zenon_intro zenon_H49c.
% 8.01/8.19 exact (zenon_H49c ax1_369).
% 8.01/8.19 cut ((genlmt (c_tptpgeo_member8_mt) (c_tptpgeo_spindleheadmt)) = (genlmt (c_tptpgeo_spindlecollectormt) (c_tptpgeo_spindleheadmt))).
% 8.01/8.19 intro zenon_D_pnotp.
% 8.01/8.19 apply zenon_H498.
% 8.01/8.19 rewrite <- zenon_D_pnotp.
% 8.01/8.19 exact ax1_1.
% 8.01/8.19 cut (((c_tptpgeo_spindleheadmt) = (c_tptpgeo_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H45a].
% 8.01/8.19 cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 8.01/8.19 congruence.
% 8.01/8.19 apply (zenon_notand_s _ _ zenon_H49b); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H49f ].
% 8.01/8.19 apply zenon_H4a0. zenon_intro zenon_H4a1.
% 8.01/8.19 elim (classic ((c_tptpgeo_spindlecollectormt) = (c_tptpgeo_spindlecollectormt))); [ zenon_intro zenon_H4a2 | zenon_intro zenon_H4a3 ].
% 8.01/8.19 cut (((c_tptpgeo_spindlecollectormt) = (c_tptpgeo_spindlecollectormt)) = ((c_tptpgeo_member8_mt) = (c_tptpgeo_spindlecollectormt))).
% 8.01/8.19 intro zenon_D_pnotp.
% 8.01/8.19 apply zenon_H49e.
% 8.01/8.19 rewrite <- zenon_D_pnotp.
% 8.01/8.19 exact zenon_H4a2.
% 8.01/8.19 cut (((c_tptpgeo_spindlecollectormt) = (c_tptpgeo_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H4a3].
% 8.01/8.19 cut (((c_tptpgeo_spindlecollectormt) = (c_tptpgeo_member8_mt))); [idtac | apply NNPP; zenon_intro zenon_H49d].
% 8.01/8.19 congruence.
% 8.01/8.19 exact (zenon_H49d zenon_H4a1).
% 8.01/8.19 apply zenon_H4a3. apply refl_equal.
% 8.01/8.19 apply zenon_H4a3. apply refl_equal.
% 8.01/8.19 apply zenon_H49f. zenon_intro ax1_369.
% 8.01/8.19 generalize (zenon_H45f (c_tptpgeo_spindlecollectormt)). zenon_intro zenon_H4a4.
% 8.01/8.19 generalize (zenon_H4a4 (c_tptpgeo_member8_mt)). zenon_intro zenon_H4a5.
% 8.01/8.19 generalize (zenon_H4a5 (c_tptpgeo_spindleheadmt)). zenon_intro zenon_H4a6.
% 8.01/8.19 apply (zenon_imply_s _ _ zenon_H4a6); [ zenon_intro zenon_H49c | zenon_intro zenon_H4a7 ].
% 8.01/8.19 exact (zenon_H49c ax1_369).
% 8.01/8.19 apply (zenon_imply_s _ _ zenon_H4a7); [ zenon_intro zenon_H4a9 | zenon_intro zenon_H4a8 ].
% 8.01/8.19 exact (zenon_H4a9 ax1_1).
% 8.01/8.19 exact (zenon_H498 zenon_H4a8).
% 8.01/8.19 apply zenon_H45a. apply refl_equal.
% 8.01/8.19 cut ((genlmt (c_tptpgeo_spindleheadmt) (c_worldgeographymt)) = (genlmt (c_tptpgeo_spindlecollectormt) (c_worldgeographymt))).
% 8.01/8.19 intro zenon_D_pnotp.
% 8.01/8.19 apply zenon_H495.
% 8.01/8.19 rewrite <- zenon_D_pnotp.
% 8.01/8.19 exact ax1_326.
% 8.01/8.19 cut (((c_worldgeographymt) = (c_worldgeographymt))); [idtac | apply NNPP; zenon_intro zenon_H4aa].
% 8.01/8.19 cut (((c_tptpgeo_spindleheadmt) = (c_tptpgeo_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H4ab].
% 8.01/8.19 congruence.
% 8.01/8.19 apply (zenon_notand_s _ _ zenon_H497); [ zenon_intro zenon_H4ad | zenon_intro zenon_H4ac ].
% 8.01/8.19 apply zenon_H4ad. zenon_intro zenon_H4ae.
% 8.01/8.19 elim (classic ((c_tptpgeo_spindlecollectormt) = (c_tptpgeo_spindlecollectormt))); [ zenon_intro zenon_H4a2 | zenon_intro zenon_H4a3 ].
% 8.01/8.19 cut (((c_tptpgeo_spindlecollectormt) = (c_tptpgeo_spindlecollectormt)) = ((c_tptpgeo_spindleheadmt) = (c_tptpgeo_spindlecollectormt))).
% 8.01/8.19 intro zenon_D_pnotp.
% 8.01/8.19 apply zenon_H4ab.
% 8.01/8.19 rewrite <- zenon_D_pnotp.
% 8.01/8.19 exact zenon_H4a2.
% 8.01/8.19 cut (((c_tptpgeo_spindlecollectormt) = (c_tptpgeo_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H4a3].
% 8.01/8.19 cut (((c_tptpgeo_spindlecollectormt) = (c_tptpgeo_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H499].
% 8.01/8.19 congruence.
% 8.01/8.19 exact (zenon_H499 zenon_H4ae).
% 8.01/8.19 apply zenon_H4a3. apply refl_equal.
% 8.01/8.19 apply zenon_H4a3. apply refl_equal.
% 8.01/8.19 apply zenon_H4ac. zenon_intro zenon_H4a8.
% 8.01/8.19 generalize (zenon_H45f (c_tptpgeo_spindlecollectormt)). zenon_intro zenon_H4a4.
% 8.01/8.19 generalize (zenon_H4a4 (c_tptpgeo_spindleheadmt)). zenon_intro zenon_H4af.
% 8.01/8.19 generalize (zenon_H4af (c_worldgeographymt)). zenon_intro zenon_H4b0.
% 8.01/8.19 apply (zenon_imply_s _ _ zenon_H4b0); [ zenon_intro zenon_H498 | zenon_intro zenon_H4b1 ].
% 8.01/8.19 exact (zenon_H498 zenon_H4a8).
% 8.01/8.20 apply (zenon_imply_s _ _ zenon_H4b1); [ zenon_intro zenon_H4b3 | zenon_intro zenon_H4b2 ].
% 8.01/8.20 exact (zenon_H4b3 ax1_326).
% 8.01/8.20 exact (zenon_H495 zenon_H4b2).
% 8.01/8.20 apply zenon_H4aa. apply refl_equal.
% 8.01/8.20 exact (zenon_H491 zenon_H493).
% 8.01/8.20 exact (zenon_H462 zenon_H490).
% 8.01/8.20 apply zenon_H460. zenon_intro zenon_Tx_bui. apply NNPP. zenon_intro zenon_H4b5.
% 8.01/8.20 apply zenon_H4b5. zenon_intro zenon_Ty_buk. apply NNPP. zenon_intro zenon_H4b7.
% 8.01/8.20 apply zenon_H4b7. zenon_intro zenon_Tz_bum. apply NNPP. zenon_intro zenon_H4b9.
% 8.01/8.20 apply (zenon_notimply_s _ _ zenon_H4b9). zenon_intro zenon_H4bb. zenon_intro zenon_H4ba.
% 8.01/8.20 apply (zenon_notimply_s _ _ zenon_H4ba). zenon_intro zenon_H4bd. zenon_intro zenon_H4bc.
% 8.01/8.20 generalize (ax1_1128 zenon_Tx_bui). zenon_intro zenon_H4be.
% 8.01/8.20 generalize (zenon_H4be zenon_Ty_buk). zenon_intro zenon_H4bf.
% 8.01/8.20 generalize (zenon_H4bf zenon_Tz_bum). zenon_intro zenon_H4c0.
% 8.01/8.20 apply (zenon_imply_s _ _ zenon_H4c0); [ zenon_intro zenon_H4c2 | zenon_intro zenon_H4c1 ].
% 8.01/8.20 apply (zenon_notand_s _ _ zenon_H4c2); [ zenon_intro zenon_H4c4 | zenon_intro zenon_H4c3 ].
% 8.01/8.20 exact (zenon_H4c4 zenon_H4bb).
% 8.01/8.20 exact (zenon_H4c3 zenon_H4bd).
% 8.01/8.20 exact (zenon_H4bc zenon_H4c1).
% 8.01/8.20 apply zenon_H45e. zenon_intro zenon_Tx_buz. apply NNPP. zenon_intro zenon_H4c6.
% 8.01/8.20 apply zenon_H4c6. zenon_intro zenon_Ty_bvb. apply NNPP. zenon_intro zenon_H4c8.
% 8.01/8.20 apply zenon_H4c8. zenon_intro zenon_Tz_bvd. apply NNPP. zenon_intro zenon_H4ca.
% 8.01/8.20 apply (zenon_notimply_s _ _ zenon_H4ca). zenon_intro zenon_H4cc. zenon_intro zenon_H4cb.
% 8.01/8.20 apply (zenon_notimply_s _ _ zenon_H4cb). zenon_intro zenon_H4ce. zenon_intro zenon_H4cd.
% 8.01/8.20 generalize (ax1_933 zenon_Tx_buz). zenon_intro zenon_H4cf.
% 8.01/8.20 generalize (zenon_H4cf zenon_Ty_bvb). zenon_intro zenon_H4d0.
% 8.01/8.20 generalize (zenon_H4d0 zenon_Tz_bvd). zenon_intro zenon_H4d1.
% 8.01/8.20 apply (zenon_imply_s _ _ zenon_H4d1); [ zenon_intro zenon_H4d3 | zenon_intro zenon_H4d2 ].
% 8.01/8.20 apply (zenon_notand_s _ _ zenon_H4d3); [ zenon_intro zenon_H4d5 | zenon_intro zenon_H4d4 ].
% 8.01/8.20 exact (zenon_H4d5 zenon_H4cc).
% 8.01/8.20 exact (zenon_H4d4 zenon_H4ce).
% 8.01/8.20 exact (zenon_H4cd zenon_H4d2).
% 8.01/8.20 apply zenon_H45c. zenon_intro zenon_Tx_bvq. apply NNPP. zenon_intro zenon_H4d7.
% 8.01/8.20 apply zenon_H4d7. zenon_intro zenon_Ty_bvs. apply NNPP. zenon_intro zenon_H4d9.
% 8.01/8.20 apply zenon_H4d9. zenon_intro zenon_Tz_bvu. apply NNPP. zenon_intro zenon_H4db.
% 8.01/8.20 apply (zenon_notimply_s _ _ zenon_H4db). zenon_intro zenon_H4dd. zenon_intro zenon_H4dc.
% 8.01/8.20 apply (zenon_notimply_s _ _ zenon_H4dc). zenon_intro zenon_H4df. zenon_intro zenon_H4de.
% 8.01/8.20 generalize (ax1_1041 zenon_Tx_bvq). zenon_intro zenon_H4e0.
% 8.01/8.20 generalize (zenon_H4e0 zenon_Ty_bvs). zenon_intro zenon_H4e1.
% 8.01/8.20 generalize (zenon_H4e1 zenon_Tz_bvu). zenon_intro zenon_H4e2.
% 8.01/8.20 apply (zenon_imply_s _ _ zenon_H4e2); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H4e3 ].
% 8.01/8.20 apply (zenon_notand_s _ _ zenon_H4e4); [ zenon_intro zenon_H4e6 | zenon_intro zenon_H4e5 ].
% 8.01/8.20 exact (zenon_H4e6 zenon_H4dd).
% 8.01/8.20 exact (zenon_H4e5 zenon_H4df).
% 8.01/8.20 exact (zenon_H4de zenon_H4e3).
% 8.01/8.20 Qed.
% 8.01/8.20 % SZS output end Proof
% 8.01/8.20 (* END-PROOF *)
% 8.01/8.20 nodes searched: 302714
% 8.01/8.20 max branch formulas: 155209
% 8.01/8.20 proof nodes created: 333
% 8.01/8.20 formulas created: 2250975
% 8.01/8.20
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